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1
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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ ููŠ ุงู„ุณู„ุงุณู„ุฉ ุงู„ุฃุฎูŠุฑุฉุŒ ู‚ุฑุฑู†ุง
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ู†ุชูƒู„ู… ุนู† ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠุŒ ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠุŒ ูˆูƒูŠู ู†ุชูƒู„ู…
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ุนู† ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠ ุนู†ุฏู…ุง ู†ุญุตู„ ุนู„ู‰ ู‚ูŠู… ู…ุฎุชู„ูุฉ ู…ู†
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ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠุŒ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุณู†ุชูƒู„ู… ุนู†
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ุงู„ุงู†ุชุฌุงุฑ ุงู„ู…ุดุชุฑูƒ ุชุญุช ู†ุธุงู… ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠุŒ ู„ุฐุง ุฏุนูˆู†ุง
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ู†ุจุฏุฃ ููŠ ุงู„ู…ุซุงู„ ุงู„ุชุงู„ู
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ุงุนุชุจุงุฑ ุฃู†ู†ุง ู„ุฏูŠู†ุง ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุนู† ู…ุณุชุฎุฏู…
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ูŠุดุชุบู„ ุงุชุฌุงุฑูŠู† ุงุชุฌุงุฑูŠู† X ูˆY ุงุชุฌุงุฑูŠู†
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X ูˆY ุงุชุฌุงุฑูŠู†
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X ูˆY ุงุชุฌุงุฑูŠู† X ูˆY ุงุชุฌุงุฑูŠู† X ูˆY ุงุชุฌุงุฑูŠู† X ูˆY
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00:01:19,730 --> 00:01:32,590
ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ ุงู„ู…ุฌู…ูˆุนุฉ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุฉ ู…ู† X ูˆ Y 0 1 2 3
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4 5 6 7 8 9 10 ู…ุฌู…ูˆุนุฉ 0 12,3,4,5,6,7,8,9,10 ุงุนุชุจุงุฑ
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ุงู† ุงุชุฌุงุฑุฉ ุนู…ู„ูŠุฉ X ู‡ุฐุง
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ุงุชุฌุงุฑุฉ ุนู…ู„ูŠุฉ X 0
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16 30
16
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41 51 60 68 75
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81 86 89 The total utility of Y
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00:02:47,320 --> 00:02:56,980
ุฒูŠุฑูˆ ููุชูŠู† ุชูˆุงู†ุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช
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ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑุช ุงุช
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ููˆุฑุช ุงุช ููˆุฑุช ุงุช ููˆุฑ
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00:03:14,350 --> 00:03:19,710
ู…ุง ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ุฅูŠู‚ุงููŠุฉ ู„ู€ X ูˆY ุงู„ุชูŠ ุชู‚ูˆู… ุจุฅุนุงุฏุฉ
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00:03:19,710 --> 00:03:22,650
ุฅุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…ุŸ
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00:03:26,480 --> 00:03:37,800
ู…ู‚ุงุฑู†ุฉ ุจู…ุฌู…ูˆุนุงุช X ูˆY ู…ู‚ุงุฑู†ุฉ ุจู…ุฌู…ูˆุนุงุช X
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00:03:37,800 --> 00:03:56,460
ูˆY ู…ู‚ุงุฑู†ุฉ ุจู…ุฌู…ูˆุนุงุช X ูˆY ู…ู‚ุงุฑู†ุฉ ุจู…ุฌู…ูˆุนุงุช X
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00:03:56,460 --> 00:04:03,670
ูˆXู…ุนู„ูˆู…ุงุช ุนู† ู…ุงู„ ุงู„ู…ุณุชุฎุฏู… ูˆ ู‚ูŠู…ุฉ X ูˆ Y ุฅุฐุง ูƒุงู† ู…ุงู„
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00:04:03,670 --> 00:04:11,130
ุงู„ู…ุณุชุฎุฏู… ูŠูˆู…ูŠุงู‹
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00:04:11,130 --> 00:04:20,030
20$ุŒ ู‚ูŠู…ุฉ X ูŠูˆู…ูŠุงู‹
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2$ุŒ ู‚ูŠู…ุฉ Y ูŠูˆู…ูŠุงู‹2$ per unit ุงู„ุงุณุฆู„ุฉ ู‡ูŠ ู…ุง ู‡ูŠ
34
00:04:32,990 --> 00:04:39,110
ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ุงูŠู‚ู„ูŠุจูŠุฉ ู„ู€ X ูˆY ุงู„ู„ูŠ ูŠุชู… ุงุณุชุฎุฏุงู…ู‡
35
00:04:39,110 --> 00:04:40,250
ุงู„ุดุฑูƒุฉ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ
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ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู…
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00:04:44,210 --> 00:04:47,010
ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡
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00:04:47,010 --> 00:04:47,890
ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู…
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00:04:47,890 --> 00:04:47,890
ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡
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00:04:47,890 --> 00:04:54,630
ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡ ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡
41
00:04:54,630 --> 00:04:59,220
ู„ูƒูŠู„ู„ุฅูŠู‚ุงู„ูŠุจุฑูŠุงู… ุฃูˆ ู„ู„ู…ุณุชุฎุฏู… ุงู„ุฅูŠู‚ุงู„ูŠุจุฑูŠุงู… ู‡ูˆ
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ุนู†ุฏู…ุง ู…ุฌู…ูˆุนุฉ ุงู„ุฅูŠู‚ุงู ู…ู† X ุนู„ู‰ ุฃุณุนุงุฑ X ูŠูƒูˆูŠู† ู…ุฌู…ูˆุนุฉ
43
00:05:05,880 --> 00:05:13,340
ุฅูŠู‚ุงู Y ุนู„ู‰ ุฃุณุนุงุฑ Y ุฃูˆ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฅูŠู‚ุงููŠุฉ ู„ุฃุฎุฑ
44
00:05:13,340 --> 00:05:18,560
ุฏูˆู„ุงุฑ ู‚ุถูŠุชู‡ ุนู„ู‰ ุงู„ู…ูŠุฒุฉ X ูŠูƒูˆูŠู† ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฅูŠู‚ุงููŠุฉ
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ู„ุฃุฎุฑ ุฏูˆู„ุงุฑ ู‚ุถูŠุชู‡ ุนู„ู‰ Y ูู‡ุฐุง ู‡ูˆ ุงู„ูˆุงุถุญ ุงู„ุฃูˆู„ุงู„ุฑู‚ู…
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ุงู„ุซุงู†ูŠ ู‡ูˆ
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00:05:29,170 --> 00:05:35,830
ุฃู† ุงู„ุดุฑูƒุฉ ุชุณุชุฎุฏู… ูƒู„ ู…ุงู„ู‡ุง ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
48
00:05:35,830 --> 00:05:35,870
ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
49
00:05:35,870 --> 00:05:37,670
ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
50
00:05:37,670 --> 00:05:39,390
ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
51
00:05:39,390 --> 00:05:39,570
ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
52
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ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
53
00:05:43,230 --> 00:05:54,990
ู„ุชุดุชุฑูŠ ุงูˆ ู„ุชุดุชุฑูŠ ุงูˆ
54
00:05:57,410 --> 00:06:05,390
ูŠู‚ู„ ุณุนุฑ X ุงู„ู…ุฒูŠุฏ ู…ู† ูƒูˆุงุจุช X ุงู„ู…ุฒูŠุฏ ู…ู† ูƒูˆุงุจุช Y
55
00:06:05,390 --> 00:06:13,210
ุงู„ู…ุฒูŠุฏ ู…ู† ูƒูˆุงุจุช Y ุงู„ู…ุฒูŠุฏ ู…ู† ูƒูˆุงุจุช
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00:06:13,210 --> 00:06:20,460
YูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุชุงุฑ ูƒู… ูŠูุนู„ ุงู„ู†ุงุณ Pi ู…ู† X ุฃูˆ Y ุฃูˆ
57
00:06:20,460 --> 00:06:26,160
ูƒู…ูŠุฉ ุชุณุนู‰ ู…ู† X ูˆูƒู…ูŠุฉ ุชุณุนู‰ ู…ู† Y ุงู„ุชูŠ ุชู‚ูˆู… ุจุฅุนุงุฏุฉ
58
00:06:26,160 --> 00:06:32,470
ุฅุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…ุชุจุฏุฃ ุจุงู„ุฅุฌุงุจุฉ ู„ู‡ุฐู‡ ุงู„ุณุคุงู„ุŒ ูŠุฌุจ ุฃู†
59
00:06:32,470 --> 00:06:37,970
ู†ู‚ูˆู… ุจุชุฎุทูŠุท ุฅุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ XุŒ ุฅุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ Y ู…ูŠูˆ
60
00:06:37,970 --> 00:06:42,090
X ู…ูŠูˆ Y ู…ูŠูˆ Y ู…ูŠูˆ X ู…ูŠูˆ Y ู…ูŠูˆ Y ู…ูŠูˆ X ู…ูŠูˆ Y ู…ูŠูˆ X
61
00:06:42,090 --> 00:06:44,790
ู…ูŠูˆ Y ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
62
00:06:44,790 --> 00:06:46,630
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
63
00:06:46,630 --> 00:06:49,390
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
64
00:06:49,390 --> 00:06:52,130
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
65
00:06:52,130 --> 00:07:03,610
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆู…ุน PY ูˆูƒู…ุง
66
00:07:03,610 --> 00:07:10,930
ุชุนู„ู…ูŠู† ุฃู† ู…ุฌู„ุฏ ุงุณุชุฎุฏุงู… X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
67
00:07:10,930 --> 00:07:12,010
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
68
00:07:12,010 --> 00:07:14,330
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
69
00:07:14,330 --> 00:07:15,410
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
70
00:07:15,410 --> 00:07:15,410
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
71
00:07:15,410 --> 00:07:19,950
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X
72
00:07:19,950 --> 00:07:24,330
ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ X ู…ูŠูˆ
73
00:07:24,330 --> 00:07:32,680
Xุงู„ุชุบูŠูŠุฑ ููŠ ุฅุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ Y ุนู„ู‰ Delta Q of Y ููŠ
74
00:07:32,680 --> 00:07:43,600
ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู„ุงูŠูˆุฌุฏ ุชุบูŠูŠุฑ ุจุนุฏ ุฐู„ูƒ ู…ูŠูˆ ุงูƒุณ ุฏู„ุชุง ุชูŠ
75
00:07:43,600 --> 00:07:47,920
ุงูƒุณ ุณุชูŠู† ู…ุงู†ุงุณ ุฒูŠุฑูˆ ุนุดุฑุฉ ูˆุงุญุฏ ู…ุงู†ุงุณ ุฒูŠุฑูˆ ุณุชูŠู† ููŠ
76
00:07:47,920 --> 00:07:50,380
ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ูŠูˆ ุงูƒุณ ูˆุงุญุฏ
77
00:07:55,590 --> 00:07:59,570
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
78
00:07:59,570 --> 00:08:00,350
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
79
00:08:00,350 --> 00:08:05,090
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
80
00:08:05,090 --> 00:08:08,670
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
81
00:08:08,670 --> 00:08:08,670
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
82
00:08:08,670 --> 00:08:08,670
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
83
00:08:08,670 --> 00:08:08,670
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ
84
00:08:08,670 --> 00:08:17,630
ู…ุงู†ุณ ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ู…ุงู†ุณ
85
00:08:17,630 --> 00:08:25,110
ุฒูŠ ุฑูˆ ุงูƒุชุฑ ู…ู†
86
00:08:25,110 --> 00:08:36,320
ูˆุงุญุฏุฎู…ุณุŒ ุซู„ุงุซุŒ ุฎู…ุณุŒ
87
00:08:36,320 --> 00:08:38,720
ุซู„ุงุซุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ
88
00:08:38,720 --> 00:08:38,720
ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ
89
00:08:38,720 --> 00:08:39,560
ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ
90
00:08:39,560 --> 00:08:40,880
ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ
91
00:08:40,880 --> 00:08:43,640
ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…ุณุŒ
92
00:08:43,640 --> 00:08:54,460
ุฎู…ุณุŒ ุฎู…ุณุŒ ุฎู…
93
00:09:19,100 --> 00:09:20,500
ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
94
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
95
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
96
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
97
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
98
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
99
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
100
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
101
00:09:20,500 --> 00:09:20,500
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ
102
00:09:20,500 --> 00:09:28,570
ุงู„ู…ุนุฑูุฉ ุงู„ู…ุนุฑูุฉ14,8,6 yes then
103
00:09:28,570 --> 00:09:41,370
5,4,3,2,1 these are the values of the marginal
104
00:09:41,370 --> 00:09:46,410
utility of X and Yู„ู†ู‚ูˆู… ุจุชุฎุทูŠุท ุงุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„
105
00:09:46,410 --> 00:09:53,230
ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ู„ูŠ ู‚ู…ุช ุจู‡ X ุฃูˆ ู…ุฌุงู„ ุงุณุชุฎุฏุงู… X ุนู„ู‰
106
00:09:53,230 --> 00:09:59,490
PX ุงู„ู…ุฌุงู„ ุงุณุชุฎุฏุงู… X ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ุบูŠุฑ ู…ุนุฑูˆู ูˆ
107
00:09:59,490 --> 00:10:05,850
ุจุนุฏ ุฐู„ูƒ ู…ุฌุงู„ ุงุณุชุฎุฏุงู… X 16 ุนุจุฑ ุฃุณุนุงุฑ X ุฃุณุนุงุฑ X ู‡ูŠ 2
108
00:10:05,850 --> 00:10:13,790
ูƒู…ุง ุชุฑูˆู† ูุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ MUX ู…ู‚ูู„ุฉ 16 ุนู„ู‰ 2 ูŠุนู†ูŠ 8
109
00:10:16,070 --> 00:10:23,630
ู‡ุฐุง ู‡ูˆ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆ ุจุนุฏู‡ุง ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ 14
110
00:10:23,630 --> 00:10:48,710
2 7 5.5 10 5 9 2 4.5 8 2 4 7 2 3.53 2.5 ูˆ 1.5 ู‡ุฐุง
111
00:10:48,710 --> 00:10:53,710
ู‡ูˆ ุงู„ู…ุฌุงู„ ุงู„ู…ููŠุฏ ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ู„ุฐูŠ ู‚ุฏุฑู‡ ุนู„ู‰ X
112
00:10:53,710 --> 00:11:00,550
ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ
113
00:11:00,550 --> 00:11:09,190
ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ
114
00:11:09,190 --> 00:11:10,630
ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ
115
00:11:10,630 --> 00:11:10,990
ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ
116
00:11:10,990 --> 00:11:10,990
ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ
117
00:11:10,990 --> 00:11:12,010
ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ ู…ูŠ ูˆูŠ ุนุดุฑุฉ
118
00:11:12,010 --> 00:11:27,750
ู…ูŠ ูˆ4 3 2.5 2 1.5 1.5 0.5 ุตุญูŠุญุŸ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฌุฑุจ
119
00:11:27,750 --> 00:11:37,770
ุงู„ูˆุถุน ุงู„ุฃูˆู„ ุชุญุช ู‡ุฐู‡ ุงู„ูˆุตูุงุช ูƒู…ุง
120
00:11:37,770 --> 00:11:46,370
ุฃุดุฑุญู†ุง ุฃู† ุงู„ูˆุถุน ุงู„ุฃูˆู„ู…ุซู„ู‹ุง ุนู†ุฏู…ุง ู…ุฌู…ูˆุนุฉ ุฅุณุชุฎุฏุงู… X
121
00:11:46,370 --> 00:11:52,350
ุนู„ู‰ PX ู‡ูŠ ู…ุฌู…ูˆุนุฉ ุฅุณุชุฎุฏุงู… Y ุนู„ู‰ PY ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฃุฎุฐ
122
00:11:52,350 --> 00:11:59,590
ุงู„ู…ูˆุถูˆุน ุงู„ุฃูˆู„ ุนู„ู‰ 8 ููŠ ู‡ุฐุง ุงู„ู‚ุณู… 8 ู‡ู„ ู‡ู†ุงูƒ ุฃูŠ ุขุฎุฑ
123
00:11:59,590 --> 00:12:07,670
8 ููŠ ู…ุฌู…ูˆุนุฉ ุฅุณุชุฎุฏุงู… YุŸ ู„ุง 7 ู„ูŠุณ ู‡ู†ุงูƒ 7 5.5 ู‡ู„ ู‡ู†ุงูƒ
124
00:12:07,670 --> 00:12:18,290
5ุŸ ู„ุง 5ู„ุฃ 4.5 ู„ุฃ 4 ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
125
00:12:18,290 --> 00:12:19,110
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
126
00:12:19,110 --> 00:12:19,330
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
127
00:12:19,330 --> 00:12:20,930
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
128
00:12:20,930 --> 00:12:20,930
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
129
00:12:20,930 --> 00:12:21,090
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
130
00:12:21,090 --> 00:12:33,070
ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ
131
00:12:33,070 --> 00:12:34,490
ู„ุฃ
132
00:12:39,060 --> 00:12:45,780
3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3
133
00:12:45,780 --> 00:12:45,780
ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ
134
00:12:45,780 --> 00:12:45,780
3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3
135
00:12:45,780 --> 00:12:45,820
ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ
136
00:12:45,820 --> 00:12:45,880
3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3
137
00:12:45,880 --> 00:12:45,880
ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ
138
00:12:45,880 --> 00:12:45,920
3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3
139
00:12:45,920 --> 00:12:46,280
ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ
140
00:12:46,280 --> 00:13:02,640
3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ 3 ูˆ
141
00:13:02,760 --> 00:13:09,420
or in four cases right so we can say that the
142
00:13:09,420 --> 00:13:14,240
first condition is
143
00:13:14,240 --> 00:13:22,180
met or achieved at four cases the first condition
144
00:13:22,180 --> 00:13:25,420
the
145
00:13:25,420 --> 00:13:31,320
first condition is
146
00:13:31,320 --> 00:13:31,800
met
147
00:13:34,470 --> 00:13:43,870
under 4 cases 4
148
00:13:43,870 --> 00:13:58,370
3 4 3 2.5 and 1.5 these
149
00:13:58,370 --> 00:14:04,470
4 cases met the first conditionู…ุงุฐุง ุนู† ุงู„ูˆุถุน
150
00:14:04,470 --> 00:14:16,950
ุงู„ุซุงู†ูŠุŸ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ุฌุฑุจ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ ุงู„ูˆุถุน
151
00:14:16,950 --> 00:14:25,030
ุงู„ุซุงู†ูŠ ูƒู…ุง ุฐูƒุฑู†ุงู‡ ุนู†ุฏู…ุง ูŠูƒูˆู† ุงู„ูˆุถุน ุงู„ุณูŠุงุณูŠ I ู…ุฑุชูุน
152
00:14:25,030 --> 00:14:35,330
ุจู‚ูŠุฉ Xู…ุน QX ูˆPY ู…ุน QY ู‡ุฐุง ู‡ูˆ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ ู„ุฐู„ูƒ
153
00:14:35,330 --> 00:14:40,630
ุฏุนูˆู†ุง ู†ุฃุฎุฐ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ุนู†ุฏู…ุง ุงูˆ ุนู†ุฏ 4 ุนู†ุฏู…ุง
154
00:14:40,630 --> 00:14:44,150
ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณุนุงุฑ ู…ู† ุงู„ุฃูˆู„ู‰ ุงู„ุฏูˆู„ุงุฑ ุงู„ู„ูŠ ู‚ุถูŠุช ุนู„ู‰ X
155
00:14:44,150 --> 00:14:51,950
ูˆY ูŠูƒูˆู†ูˆุง ุนู„ู‰ 4 ุนู†ุฏ 4 I
156
00:14:51,950 --> 00:14:54,610
I ูƒู… ู‡ูˆ IุŸ 20
157
00:14:57,560 --> 00:15:08,760
ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‚ูŠู…ุฉ X ู‡ูˆ 2 ู…ุฑุฉ ูƒู…ูŠุฉ X ููŠ 4 ููŠ 4 ูƒู…ุง
158
00:15:08,760 --> 00:15:19,220
ุชุฑู‰ ู‡ุฐุง ู…ุฑุชุจุท ุจุงู„ X ููŠ 4 ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ
159
00:15:19,220 --> 00:15:21,020
6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6
160
00:15:21,020 --> 00:15:22,380
ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6
161
00:15:22,380 --> 00:15:23,260
ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6
162
00:15:23,260 --> 00:15:23,460
ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6
163
00:15:23,460 --> 00:15:27,070
ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6 ู…ุฑุฉ ูƒู…ูŠุฉ X ู‡ูˆ 6ู…ุน
164
00:15:27,070 --> 00:15:34,210
ูƒู…ูŠุฉ Y ููŠ 4 ู…ุฑุชุจุทุฉ ุฅู„ู‰ YุŒ ู‡ุฐู‡ ุงู„ู‚ุณู…ุฉ ู…ุฑุชุจุทุฉ ุฅู„ู‰ YุŒ
165
00:15:34,210 --> 00:15:42,590
ู„ุฐู„ูƒ ููŠ 4ุŒ ูƒู…ูŠุฉ Y ู‡ูŠ 4ุŒ
166
00:15:42,590 --> 00:15:49,290
ู„ุฐู„ูƒ 20 ูŠุฌุจ ุฃู† ูŠูƒูˆู† 12 ู…ุฑุชุจุทุฉ ุฅู„ู‰ 8
167
00:15:52,150 --> 00:15:57,390
ูˆุงู„ุฃูˆู„ ุญุงู„ุฉ ู…ูˆุฌูˆุฏุฉ ุฃูˆ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
168
00:15:57,390 --> 00:16:03,390
.. ุงู„ุซุงู†ูˆูŠุฉ ููŠ ุงู„ู€ four ู„ุฐู„ูƒ ูŠุฌุจ ุนู„ูŠู†ุง ุฃู† ู†ุฏุนูŠ
169
00:16:03,390 --> 00:16:10,170
ุงู„ู…ุณุชุฎุฏู… ุฃู† ูŠุดุชุฑูŠ ุฃูˆ ูŠุดุชุฑูŠ 6 ุฃุฌุฒุฉ ู…ู† X ูˆ 4 ุฃุฌุฒุฉ ู…ู†
170
00:16:10,170 --> 00:16:15,330
Y ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ุฅุฐุง ูƒู†ุง ู†ู‚ูˆู… ุจุชุฌุงุฑุจ ู„ุญุงู„ุงุช ุฃุฎุฑู‰
171
00:16:17,780 --> 00:16:24,120
ุงู„ู‚ูˆุฉ ุงู„ุซุงู†ูŠุฉ ู„ู† ุชุชู…ุชุน ุจุงู„ู‚ูˆุฉ ุงู„ุซุงู†ูŠุฉุŒ ุตุญูŠุญุŸ ุฏุนูˆู†ุง
172
00:16:24,120 --> 00:16:34,020
ู†ู‚ูˆู… ุจุงู„ุชุฌุงุฑุจ ู„ู„ู‚ูˆุงุช ุงู„ุฃุฎุฑู‰ุŒ ููŠ 3 20
173
00:16:34,020 --> 00:16:42,300
ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ุฑุชุจุท ุจู‚ูŠู…ุฉ X ู…ุฑุชุจุท ุจู‚ูŠู…ุฉ 4 X ููŠ 3
174
00:16:48,570 --> 00:16:53,910
plus two the price of y times the quantity of y at
175
00:16:53,910 --> 00:17:03,590
three five in this case twenty must equal sixteen
176
00:17:03,590 --> 00:17:09,950
plus ten yes
177
00:17:09,950 --> 00:17:15,300
it's not achievedู„ุฐู„ูƒ ุงู„ูˆุถุน ุงู„ุฃูˆู„ ุฃูˆ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ
178
00:17:15,300 --> 00:17:22,420
ู„ูŠุณ ู…ุฌุชู…ุน ุฃูˆ ู„ูŠุณ ู…ุฌุชู…ุน ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูˆููŠ ุงู„ุญุงู„ุงุช
179
00:17:22,420 --> 00:17:28,120
ุงู„ุฃุฎุฑู‰ ู„ูŠุณ ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ู„ุฐู„ูƒ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ ุณูŠูƒูˆู†
180
00:17:28,120 --> 00:17:35,120
ู…ุฌุชู…ุน ูู‚ุท ููŠ ุญุงู„ุฉ ูˆุงุญุฏุฉ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ุฉ ุฅุฐุง ู‚ู…ู†ุง
181
00:17:35,120 --> 00:17:43,020
ุจุชุฌุงุฑุจ ู„ู„ุญุงู„ุงุช ุงู„ุฃุฎุฑู‰ ุงู„ุชูŠ ุญุตู„ุช ุนู„ู‰ ุงู„ูˆุถุน ุงู„ุฃูˆู„ู†ุญู†
182
00:17:43,020 --> 00:17:54,400
ู„ู† ู†ุตู„ ุฅู„ู‰ ุงู„ุฅูŠู‚ุงู„ูŠุจุฑูŠุงุŒ ู„ุฐู„ูƒ ููŠ 2.5 20
183
00:17:54,400 --> 00:18:06,700
ูŠุฌุจ ุฃู† ูŠูƒูˆู† 2 ู…ุฑุฉ ูƒู…ูŠุฉ X ููŠ 2.59 2
184
00:18:06,700 --> 00:18:10,380
ู…ุฑุฉ ูƒู…ูŠุฉ
185
00:18:17,410 --> 00:18:24,450
ุงู„ุนุดุฑูŠู† ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง ุนุดุฑูŠู† ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู†
186
00:18:24,450 --> 00:18:26,390
ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ
187
00:18:26,390 --> 00:18:27,950
ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ
188
00:18:27,950 --> 00:18:28,270
ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู†
189
00:18:28,270 --> 00:18:28,270
ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ
190
00:18:28,270 --> 00:18:28,270
ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ
191
00:18:28,270 --> 00:18:33,230
ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู†
192
00:18:33,230 --> 00:18:42,010
ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุชุฑ ู…ู† ุนุดุฑุฉ ุงูƒุนุดุงู† ู„ุฏูŠู†ุง ุฃุฑุจุน
193
00:18:42,010 --> 00:18:50,330
ุญุงู„ุงุช ุชุชุฌุงูˆุฒ ุจุฃูˆู„ ุญุงู„ุฉุŒ ุตุญุŸ ุทูŠุจุŒ ู„ุฐู„ูƒ ู†ู‚ูˆู… ุจุฅุฏุนุงุก
194
00:18:50,330 --> 00:18:57,510
ุงู„ุดุฑูƒุฉ ุฃู† ุชุดุชุฑูŠ ุณุชุฉ ุฃุฌุณุงู… ู…ู† X ูˆ ุฃุฑุจุน ุฃุฌุณุงู… ู…ู† YุŒ
195
00:18:57,510 --> 00:19:01,910
ู„ู…ุงุฐุงุŸ ู„ุฃู† ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุชุญุช ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุชุชุฌุงูˆุฒ
196
00:19:01,910 --> 00:19:05,830
ุฃูˆู„ุฉ ูˆ ุฃุฎุฑู‰ ุญุงู„ุฉุŒ ุตุญุŸ
197
00:19:07,790 --> 00:19:12,530
ู†ุนู…ุŒ ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุฅุฐุง ุงุณุชุฎุฏู… 6 ุนุถู„ุฉ ู…ู† X ูˆ 4
198
00:19:12,530 --> 00:19:16,070
ุนุถู„ุฉ ู…ู† YุŒ ูู‡ูˆ ุณูŠู‚ูˆู… ุจุฅุนุงุฏุฉ ุงุณุชุฎุฏุงู… ุงู„ู…ูŠุฒุงู†ูŠุฉ
199
00:19:16,070 --> 00:19:22,590
ุงู„ูˆุทู†ูŠุฉุŒ ุตุญูŠุญุŸ ุญุณู†ู‹ุงุŒ ูุงุนุชุจุงุฑ ุฃู† ุงู„ู…ูŠุฒุงู†ูŠุฉ ุฃูˆ
200
00:19:22,590 --> 00:19:28,270
ุงู„ู…ุณุชุฎุฏู… ูŠุฒุฏุงุฏ ุฅู„ู‰ 26
201
00:19:31,190 --> 00:19:39,010
ู…ุง ู‡ูŠ ุงู„ู…ูˆุงู‚ุน ุงู„ุฅูŠู‚ุงููŠุฉ ุงู„ุฌุฏูŠุฏุฉ ุฅุฐุง ู‚ูŠู…ุฉ X ุชุจู‚ู‰
202
00:19:39,010 --> 00:19:48,510
ู…ุณุชู…ุฑุฉ ุชุจู‚ู‰ 2 ูˆู‚ูŠู…ุฉ Y ุชุจู‚ู‰ 2 ุฃูŠุถู‹ุงุŒ ู„ุฐู„ูƒุŒ ุชุนุชู‚ุฏ ุฃู†
203
00:19:48,510 --> 00:19:55,430
ุงู„ู‚ูŠู…ุฉ ุฃูˆ
204
00:19:55,430 --> 00:19:58,990
ุงู„ุฅูŠู‚ุงู ุงู„ุดุฎุตูŠ ุฅุฐุง
205
00:20:02,380 --> 00:20:09,060
ุฅุฐุง ุงุฑุชูุน ุงู„ู…ุงู„ ุงู„ู…ุณุชุฎุฏู… ู„ู€ 26 ู…ู„ูŠูˆู† ุฏูˆู„ุงุฑ ุฅุฐุง
206
00:20:09,060 --> 00:20:18,060
ุงุฑุชูุน ุงู„ู…ุงู„ ุงู„ู…ุณุชุฎุฏู… ู„ู€
207
00:20:18,060 --> 00:20:22,860
26 ู…ู„ูŠูˆู† ุฏูˆู„ุงุฑ ุจุฏู„ุง ู…ู† 20 ู…ู„ูŠูˆู† ุฏูˆู„ุงุฑ ู…ุง ู‡ูŠ
208
00:20:22,860 --> 00:20:27,560
ุงู„ู…ูŠุฒุงู†ูŠุงุช ุงู„ุงุฎุชู„ุงููŠุฉ ุงู„ุฌุฏูŠุฏุฉ ู„ู€ X ูˆY ุงู„ุชูŠ ุชู‚ูˆู…
209
00:20:27,560 --> 00:20:29,320
ุจุชุญุฑูŠุฑ ุฅุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…
210
00:20:33,430 --> 00:20:41,490
ู„ู†ู‚ูˆู… ุจุนู…ู„ ู…ุญุงูˆู„ุฉ ู„ู„ู…ูˆุถูˆุน ุงู„ุซุงู†ูŠุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ
211
00:20:41,490 --> 00:20:46,390
ูŠุฌุจ ุฃู† ู†ุบูŠู‘ุฑ ุงู„ู…ุงู„ ุงู„ุฎุงุต ุจุงู„ุดุฑูƒุฉ ูˆูŠุจู‚ู‰ ุงู„ุณุนุฑ
212
00:20:46,390 --> 00:20:52,710
ู…ุณุชู…ุฑุŒ ุงู„ุณุนุฑ X ูˆุงู„ุณุนุฑ Y ูŠุจู‚ู‰ ู…ุณุชู…ุฑุŒ ูููŠ ู‡ุฐู‡
213
00:20:52,710 --> 00:20:59,570
ุงู„ุญุงู„ุฉุŒ ุนู†ุฏู…ุง ูŠุฒุฏุงุฏ ุงู„ู…ุงู„ ุฅู„ู‰ 26ุŒ ูŠุฌุจ ุฃู† ู†ุบูŠู‘ุฑ
214
00:20:59,570 --> 00:21:13,980
ุงู„ู†ุชุงุฆุฌ ู‡ู†ุง26 .. 26 .. 26 .. 26 .. 26
215
00:21:13,980 --> 00:21:16,780
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
216
00:21:16,780 --> 00:21:17,020
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
217
00:21:17,020 --> 00:21:20,640
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
218
00:21:20,640 --> 00:21:20,660
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
219
00:21:20,660 --> 00:21:20,960
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
220
00:21:20,960 --> 00:21:23,060
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
221
00:21:23,060 --> 00:21:25,300
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
222
00:21:25,300 --> 00:21:25,340
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
223
00:21:25,340 --> 00:21:25,960
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
224
00:21:25,960 --> 00:21:25,960
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
225
00:21:25,960 --> 00:21:25,960
.. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 ..
226
00:21:25,960 --> 00:21:25,960
26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26 .. 26
227
00:21:25,960 --> 00:21:31,550
.. 26 .. 26 .. 26 .. 26 .. 26 ..ุงู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑูŠ ู‡ูˆ
228
00:21:31,550 --> 00:21:39,430
26 ูˆุงู„ู†ุณุจุฉ ู„ู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑูŠ ู‡ูŠ 20 ุงู†ู‡ู… ู„ูŠุณูˆุง ุงูŠู‚ุงููŠู†
229
00:21:39,430 --> 00:21:46,830
ููŠ ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ุนู†ุฏู…ุง ูŠุฒุฏุงุฏ ุงู„ู…ูŠุฒุฉ ุงู„ู‰ 26 ููŠ ู‡ุฐู‡
230
00:21:46,830 --> 00:21:54,430
ุงู„ุญุงู„ุฉ ู‡ูŠ ุงูŠู‚ุงูุฉ ู„ู„ุฌุงู†ุจ ุงู„ูŠุณุงุฑูŠ ู„ุฃู† ู‡ุฐุง ู‡ูˆ ุงู„ู…ูŠุฒุฉ
231
00:21:54,430 --> 00:21:57,010
ุงู„ุนุงู…ุฉ ุงูˆ ุงู„ู…ูŠุฒุฉ ุงู„ุนุงู…ุฉ ุงู„ุดุฑูƒูŠุฉ ู‡ูŠ 26
232
00:22:00,080 --> 00:22:06,960
ุงู„ุฌุงู†ุจ ุงู„ุตุญูŠุญ ู‡ูˆ 26ุŒ ู„ุฐู„ูƒ ุฃู‚ุชุฑุญ ู„ู„ุดุฑูƒุฉ ุฃู† ุชุดุชุฑูŠ
233
00:22:06,960 --> 00:22:18,860
ูƒู…ูŠุฉ 8 ุนุถู„ุงุช ู…ู† X ูˆ 5 ุนุถู„ุงุช ู…ู† YุŒ ุตุญุŸ ู„ุฐู„ูƒุŒ ุชุฎุทูŠุท
234
00:22:18,860 --> 00:22:22,040
ุฃุณู„ูˆุจ
235
00:22:22,040 --> 00:22:33,580
ุงู„ูˆุตูˆู„ ู„ู„ุทู„ุจ ู„ู€ X ูˆ Y ุฃูˆ Xูˆ ุงุดูŠุฑ ุงูˆ ุงุดุฑุญ ู‚ูŠู…ุฉ ุงูˆ
236
00:22:33,580 --> 00:22:45,840
ู†ูˆุน ุงู„ู…ูˆุถูˆุน X ูƒู…ุง ุชุนู„ู…ูŠู† ู‡ุฐุง
237
00:22:45,840 --> 00:22:55,100
ู‡ูˆ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ ุงู„ุงู†ุชุฌุงุฑ
238
00:22:58,210 --> 00:23:04,530
was twenty how much does the consumer buy of XุŸ
239
00:23:04,530 --> 00:23:11,110
six units of X ุตุญุŸ ู‡ูŠ ูƒุงู† ุจูŠุดุชุฑูŠู‡ุง ุฃู†ุง ุตุจูˆุญุŸ when
240
00:23:11,110 --> 00:23:18,350
the income increased to twenty six the
241
00:23:18,350 --> 00:23:22,390
consumer or the quantity that we advise or the
242
00:23:22,390 --> 00:23:25,610
quantity that maximize the total utility it
243
00:23:25,610 --> 00:23:34,760
changed toุฃุฑุจุนุฉ ุตุญูŠุญุŸ ู„ุฐู„ูƒ ู‡ุฐุง ุฃุฑุจุนุฉ ุงู„ู…ุณุฃู„ุฉ ู‡ูŠ
244
00:23:34,760 --> 00:23:45,200
ุชุฎุทูŠุท ุฃุณู„ูˆุจ ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
245
00:23:45,200 --> 00:23:47,560
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
246
00:23:47,560 --> 00:23:48,440
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
247
00:23:48,440 --> 00:23:49,700
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
248
00:23:49,700 --> 00:23:49,780
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
249
00:23:49,780 --> 00:23:49,780
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
250
00:23:49,780 --> 00:23:49,780
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
251
00:23:49,780 --> 00:23:51,160
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
252
00:23:51,160 --> 00:23:57,440
ุงู„ุชุทุจูŠู‚ุงุช ุงู„ุชุทุจูŠู‚ุงุช
253
00:24:02,680 --> 00:24:07,940
ุงู„ุชุทุจูŠู‚ ุงู„ุงุณุชุซู†ุงุฆูŠ ู„ู„ุชุทุจูŠู‚ X
254
00:24:07,940 --> 00:24:16,260
ุจุงุณุชุฎุฏุงู…
255
00:24:16,260 --> 00:24:17,340
ุฃุณุงุณูŠุฉ ุงู„ู€ midpoint
256
00:24:34,380 --> 00:24:46,020
ู‡ุฐุง ู‡ูˆ I1 I2 Q1 QX1 QX2 ู„ุฐู„ูƒ ุงู„ูุฑุตุฉ ุงู„ุฃุณุงุณูŠุฉ
257
00:24:46,020 --> 00:24:50,540
ู„ุชุฎุทูŠุท ุงู„ู…ูŠุฒุงู†ูŠุฉ ุงู„ู‡ุฌูˆู… ุงู„ู‡ุฌูˆู… ุงู„ู‡ุฌูˆู…
258
00:24:56,140 --> 00:25:02,600
ุฏู„ุชุง ูƒูŠูˆ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุงูŠู‡ ู…ุฑุฉ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡
259
00:25:02,600 --> 00:25:06,820
ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡
260
00:25:06,820 --> 00:25:14,200
ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡
261
00:25:14,200 --> 00:25:17,280
ุงูŠู‡
262
00:25:24,720 --> 00:25:32,280
Times summation of income I2 plus I1 over QX2 plus
263
00:25:32,280 --> 00:25:37,800
QX1 So
264
00:25:37,800 --> 00:25:44,120
EI equals 8
265
00:25:44,120 --> 00:25:51,500
minus 6 over I2
266
00:25:51,500 --> 00:25:53,220
26 minus 20
267
00:25:57,360 --> 00:25:59,940
ู…ุฆุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
268
00:25:59,940 --> 00:26:01,580
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
269
00:26:01,580 --> 00:26:03,660
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
270
00:26:03,660 --> 00:26:06,320
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
271
00:26:06,320 --> 00:26:08,280
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
272
00:26:08,280 --> 00:26:08,280
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
273
00:26:08,280 --> 00:26:08,280
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
274
00:26:08,280 --> 00:26:12,060
ู…ุฑุฉ ู…ุฑุฉ
275
00:26:12,060 --> 00:26:18,220
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
276
00:26:18,220 --> 00:26:19,260
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
277
00:26:19,260 --> 00:26:22,720
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…
278
00:26:25,940 --> 00:26:28,940
ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
279
00:26:28,940 --> 00:26:31,040
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
280
00:26:31,040 --> 00:26:33,960
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
281
00:26:33,960 --> 00:26:38,140
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
282
00:26:38,140 --> 00:26:40,520
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
283
00:26:40,520 --> 00:26:41,360
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
284
00:26:41,360 --> 00:26:44,900
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
285
00:26:44,900 --> 00:26:44,920
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
286
00:26:44,920 --> 00:26:44,980
ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ูˆ
287
00:26:44,980 --> 00:26:48,920
ุฃุฑุจุนุฉ
288
00:26:48,920 --> 00:26:57,710
ูˆ ุฃุฑุจุนุฉ ูˆ ุฃูŠู‚ู„ ู„ู€ positive oneุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู†ู‡ ุนู†ุฏู…ุง
289
00:26:57,710 --> 00:27:03,410
ูŠุฒุฏุงุฏ ุงู„ู…ูŠุฒุฉ ู…ู† 20 ุฅู„ู‰ 26 ุงู„ู…ูŠุฒุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู† X
290
00:27:03,410 --> 00:27:11,510
ูŠุฒุฏุงุฏ ู…ู† 6 ุฅู„ู‰ 8 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู…ูŠุฒุฉ ุทุจูŠุนูŠุฉ ุฃูˆ
291
00:27:11,510 --> 00:27:15,730
ุงู„ุฌูˆุฏุฉ ุทุจูŠุนูŠุฉ ูˆุงู„ู…ุทุงู„ุจุฉ
292
00:27:15,730 --> 00:27:21,840
ู…ุฑุชุจุทุฉุŒ ุฅู†ู‡ุง ู‚ุฑูŠุจุฉ ู…ู† ู…ุฑุชุจุทุฉ ู…ุฌู…ูˆุนุฉุŒ ุตุญุŸุญุณู†ู‹ุงุŒ ูุฅู†
293
00:27:21,840 --> 00:27:29,980
ุงู„ู…ุฌุชู…ุน ูŠุฏูุน ุฅู„ู‰ ุงู„ู€20ุŒ ูู‡ู†ุงูƒ ุฃุณุฆู„ุฉ ุฃุฎุฑู‰ุŒ ูุฅู†
294
00:27:29,980 --> 00:27:38,400
ุงู„ู…ุฌุชู…ุน ูŠุจู‚ู‰
295
00:27:38,400 --> 00:27:42,940
ู…ุณุชู…ุฑ ููŠ ุงู„ู€20ุŒ
296
00:27:42,940 --> 00:27:48,800
ูˆู‚ูŠู… X ูŠุชุฎู„ุต ุฅู„ู‰ 1.
297
00:27:54,100 --> 00:28:01,960
ุงู„ุณุคุงู„ ู‡ูˆ ุงุนุชุจุงุฑ ุงู†
298
00:28:01,960 --> 00:28:12,260
ุงู„ู…ุงู„ ุงู„ู…ุณุชุฎุฏู… ู‡ูˆ 20 ูŠุจู‚ู‰ ู…ุณุชู…ุฑ I ูŠู‚ู„ 20 ุณุนุฑ X
299
00:28:12,260 --> 00:28:20,870
ูŠุชุฎู„ุต ู…ู† 1 ูˆุณุนุฑ Y ูŠุชุฎู„ุต ู…ู† 1ุชุจู‚ู‰ ู…ุณุชู…ุฑู‹ุง ููŠ 2
300
00:28:20,870 --> 00:28:28,350
ุชุฎุทูŠุท ู…ุฌู…ูˆุนุงุช X ูˆY ุฌุฏูŠุฏุฉ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุฎุทูŠุท
301
00:28:28,350 --> 00:28:29,630
ู…ุฌู…ูˆุนุงุช X ูˆY ุฌุฏูŠุฏุฉ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุฎุทูŠุท ู…ุฌู…ูˆุนุงุช
302
00:28:29,630 --> 00:28:29,870
X ูˆY ุฌุฏูŠุฏุฉ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุฎุทูŠุท ู…ุฌู…ูˆุนุงุช X ูˆY
303
00:28:29,870 --> 00:28:35,870
ุฌุฏูŠุฏุฉ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุฎุทูŠุท ู…ุฌู…ูˆุนุงุช X ูˆY ุฌุฏู‹ุง
304
00:28:36,980 --> 00:28:41,820
ุนู†ุฏู…ุง ู‚ูŠู…ุฉ X ุชุชุฎู„ุต ุฅู„ู‰ 1ุŒ ูู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ุฃูˆ
305
00:28:41,820 --> 00:28:49,840
ุฃุฎุฑู‰ ู„ู€Mux ุจู‚ูŠุฉ PxุŒ ูˆู„ูƒู† My ุจู‚ูŠุฉ Py ู…ุณุชู…ุฑุŒ ุตุญุŸ
306
00:28:49,840 --> 00:28:58,120
ู„ุฐู„ูƒุŒ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุบูŠูŠุฑ ู„ู€
307
00:28:58,120 --> 00:29:00,520
Marginal Utility of X ุจู‚ูŠุฉ Px
308
00:29:11,180 --> 00:29:15,240
ูˆ ุงู‚ูˆู… ุจุชุฌุงุฑุจ ุงูˆู„ ุญุงู„ุฉ ูˆ ุงุฎุฑ ุญุงู„ุฉ
309
00:29:23,620 --> 00:29:31,500
ุงู„ุณุคุงู„ ู‡ูˆ ุฅุฐุง ู‚ูŠู…ุฉ X ุชุชุฎู„ุต ู…ู† 1ุŒ ูู‚ูŠู…ุฉ Y ุชุจู‚ู‰
310
00:29:31,500 --> 00:29:35,500
ู…ุณุชู…ุฑุฉุŒ ูˆู‚ูŠู…ุฉ Y ุชุจู‚ู‰ ู…ุณุชู…ุฑุฉ ุฃูŠุถู‹ุงุŒ ู„ุฐู„ูƒ ุชุฎู„ุต
311
00:29:35,500 --> 00:29:38,080
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
312
00:29:38,080 --> 00:29:38,080
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
313
00:29:38,080 --> 00:29:38,440
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
314
00:29:38,440 --> 00:29:38,540
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
315
00:29:38,540 --> 00:29:38,840
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
316
00:29:38,840 --> 00:29:38,840
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
317
00:29:38,840 --> 00:29:39,980
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
318
00:29:39,980 --> 00:29:48,280
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ูŠุน ู…ู†
319
00:29:48,280 --> 00:29:54,470
ุงู„ุฌู…ูŠุน ู…ู† ุงู„ุฌู…ุงู„ุนุดุฑุฉ ูˆ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
320
00:29:54,470 --> 00:29:59,770
ุฃุฑุจุนุฉ
321
00:29:59,770 --> 00:30:01,810
ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
322
00:30:04,880 --> 00:30:09,220
ู„ุฐู„ูƒ ูƒู…ุง ุชุฑู‰ ู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ุฌุฏูŠุฏุฉ ู„ุฅุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ X
323
00:30:09,220 --> 00:30:18,100
ุนู„ู‰ PX ูˆู…ู‚ุงุฑู†ุฉ ู†ูุณู‡ุง ู„ู€MUY ุนู„ู‰ PY ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฌุฑุจ
324
00:30:18,100 --> 00:30:21,880
ุงู„ูˆุถุน ุงู„ุฃูˆู„ ุงู„ุฐูŠ ูŠุณู…ู‰ MUX ุนู„ู‰ PX
325
00:30:25,270 --> 00:30:29,630
ุงู„ุญุงู„ุฉ ุนู†ุฏู…ุง ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ
326
00:30:29,630 --> 00:30:33,930
ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ
327
00:30:33,930 --> 00:30:34,790
ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ ู…ูŠูƒุณ
328
00:30:34,790 --> 00:30:45,790
ู…ูŠูƒุณ ู…ูŠูƒุณ
329
00:30:55,490 --> 00:31:04,550
ููŠ ู‡ุฐู‡ ุงู„ู‚ุณู…ุฉ ู‡ุฐุง ุณุชุฉ ูˆ ุณุชุฉ ุฎู…ุณุฉ
330
00:31:04,550 --> 00:31:13,070
ู„ุง ูŠูˆุฌุฏ ุฎู…ุณุฉ ุซู„ุงุซุฉ ูˆ ุซู„ุงุซุฉ ุงูˆู„
331
00:31:13,070 --> 00:31:21,750
ุญุงู„ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงุชู†ูŠู† ุญุงู„ุงุช ุงุชู†ูŠู† ุงูˆู„ ุญุงู„ุฉ
332
00:31:29,230 --> 00:31:40,610
condition is met at two cases ุงู„ู„ูŠ ู‡ู… six and
333
00:31:40,610 --> 00:31:49,290
three plus py times ky at
334
00:31:49,290 --> 00:31:49,730
six
335
00:31:55,580 --> 00:32:03,900
ุงู„ุนุงู…ุฉ ุงู„ุณูŠุงุณูŠุฉ ู‡ูˆ 20 ูŠุฌุจ ุฃู† ุชูƒูˆูŠู† ุฃุณุนุงุฑ X ูƒู…ุŸ 1
336
00:32:03,900 --> 00:32:08,900
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
337
00:32:08,900 --> 00:32:09,060
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
338
00:32:09,060 --> 00:32:09,560
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
339
00:32:09,560 --> 00:32:12,260
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
340
00:32:12,260 --> 00:32:12,880
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
341
00:32:12,880 --> 00:32:13,440
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
342
00:32:13,440 --> 00:32:14,860
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
343
00:32:14,860 --> 00:32:15,900
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
344
00:32:15,900 --> 00:32:15,920
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
345
00:32:15,920 --> 00:32:15,920
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
346
00:32:15,920 --> 00:32:15,920
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
347
00:32:15,920 --> 00:32:15,920
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
348
00:32:15,920 --> 00:32:19,240
ุงู„ู…ุฑุฉ ุงู„ู…ุฑุฉ
349
00:32:19,240 --> 00:32:19,780
ุงู„ู…
350
00:32:23,960 --> 00:32:28,320
ู…ุน ูƒู…ุŸ ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู†
351
00:32:28,320 --> 00:32:34,160
ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ
352
00:32:34,160 --> 00:32:37,880
ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู†
353
00:32:37,880 --> 00:32:38,280
ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ
354
00:32:38,280 --> 00:32:38,500
ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุงุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู†
355
00:32:38,500 --> 00:32:38,500
ุซู„ุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู† ุซู„ุซุฉ ุนุดุงู†
356
00:32:38,500 --> 00:32:46,540
ุซู„ุซุฉ
357
00:32:46,540 --> 00:32:51,460
ุนุดุงู† ุซู„ุซ
358
00:32:55,940 --> 00:33:01,380
ุงู„ุนุดุฑ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูˆุงุญุฏ
359
00:33:01,380 --> 00:33:09,880
ู…ุฑุฉ ูƒู… ูŠูƒูˆู† ู‚ูŠู…ุฉ ุงู„ูˆุงุญุฏุฉ X ุฃูˆ ุงู„ูˆุงุญุฏุฉ X 10 ู…ุฑุฉ ู…ุฑุฉ
360
00:33:09,880 --> 00:33:24,020
ูƒู…ุŸ 2 ู…ุฑุฉ ูƒู…ุŸ 3.5 ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
361
00:33:24,020 --> 00:33:24,120
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
362
00:33:24,120 --> 00:33:24,120
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
363
00:33:24,120 --> 00:33:24,140
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
364
00:33:24,140 --> 00:33:24,400
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
365
00:33:24,400 --> 00:33:24,400
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
366
00:33:24,400 --> 00:33:24,400
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ
367
00:33:24,400 --> 00:33:28,340
ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉุนุดุงู† ุชุงู†ูŠุฉ ุงูƒุชุฑ ู…ู†
368
00:33:28,340 --> 00:33:30,460
ุนุดุงู† ุชุงู†ูŠุฉ ุงูƒุชุฑ ู…ู† ุนุดุงู† ุชุงู†ูŠุฉ ุงูƒุชุฑ ู…ู† ุนุดุงู† ุชุงู†ูŠุฉ
369
00:33:30,460 --> 00:33:43,420
ุงูƒุชุฑ ู…ู† ุนุดุงู†
370
00:33:43,420 --> 00:33:48,700
ุชุงู†ูŠุฉูˆู‡ูˆ ู…ุง ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„ ู„ู„ู…ุณุชุฎุฏู….
371
00:33:49,360 --> 00:33:55,580
ู„ุฐู„ูƒุŒ ุฅุฐุง ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุดุชุฑูŠ ุฃูˆ ูŠุดุชุฑูŠ 10 ุนุถู„ุฉ ู…ู† X
372
00:33:55,580 --> 00:34:03,820
ูˆ5 ุนุถู„ุฉ ู…ู† YุŒ ูู‡ุฐู‡ ุงู„ู‚ูˆุงู†ูŠู† ุณุชุญุตู„
373
00:34:03,820 --> 00:34:06,700
ุนู„ู‰ ุงูŠู‚ุงู„ูŠุจุฑูŠุงู… ุฃูˆ ุฅุนุงุฏุฉ ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„.
374
00:34:14,990 --> 00:34:22,430
ุงู„ุณุคุงู„ ู‡ูˆ ุชุฎุทูŠุท ุฃุณุนุงุฑ ุฅู„ุงุณุชูŠูƒูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ
375
00:34:22,430 --> 00:34:29,290
product X ู„ุฏูŠู†ุง ุณุคุงู„ ุฃุฎุฑ ูŠุณู…ู‰ ุชุฎุทูŠุท ุฃุณุนุงุฑ
376
00:34:29,290 --> 00:34:31,190
ุฅู„ุงุณุชูŠูƒูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ product X ุนู†ุฏู…ุง ุชุฎุทูŠุท
377
00:34:31,190 --> 00:34:38,210
ุฃุณุนุงุฑ X ุชุฎุทูŠุท ุฃุณุนุงุฑ ุฅู„ุงุณุชูŠูƒูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ
378
00:34:38,210 --> 00:34:39,930
product X ุชุฎุทูŠุท
379
00:34:45,430 --> 00:34:51,610
ุจุณูŠุทุฉ ุงู„ุณุนุฑ ู„ู„ุชุทุจูŠู‚ X ู„ุชุญุณูŠู†
380
00:34:51,610 --> 00:34:56,870
ุงู„ุณุนุฑ ุจุงุณุชุฎุฏุงู… ุฃุณุงุณูŠุฉ ุงู„ู€ midpoint ุฏุนูˆู†ุง
381
00:34:56,870 --> 00:35:03,310
ู†ูƒุชุจ ุนู„ู‰ ูƒุชุงุจุฉ ู‡ุฐุง
382
00:35:03,310 --> 00:35:14,230
ู‡ูˆ ุณุนุฑ X ูƒู…ูŠุฉ ู…ุทุงู„ุจุฉ ู…ู† X ููŠ ุงู„ุณุนุฑ 2ุนู†ุฏู…ุง ู‚ูŠู…ุฉ X
383
00:35:14,230 --> 00:35:25,350
ูƒุงู†ุช 2 ูƒู… ูุนู„ุงู‹ ูุฅู† ู‚ูŠู…ุฉ X ูƒุงู†ุช 6 ุนู†ุฏู…ุง
384
00:35:25,350 --> 00:35:32,590
ู‚ูŠู…ุฉ X ูƒุงู†ุช 1 ุนู†ุฏู…ุง ู‚ูŠู…ุฉ X ุชุชุฎู„ุต ุฅู„ู‰ 1 ูƒู…ุง ุชุฑู‰ ู‡ู†ุง
385
00:35:32,590 --> 00:35:35,910
ู‚ูŠู…ุฉ X ู‡ูŠ 10
386
00:35:40,340 --> 00:35:48,980
ู…ุน ุงุณุชุฎุฏุงู… ุฃุณุงุณูŠุฉ ุงู„ุฃุณุนุงุฑ ู„ู„ุชุทุจูŠู‚ X ุจุงุณุชุฎุฏุงู…
387
00:35:48,980 --> 00:35:49,880
ุฃุณุงุณูŠุฉ ุงู„ุฃุณุงุณูŠุฉ ุงู„ุฃุณุงุณูŠุฉ ุงู„ุฃุณุงุณูŠุฉ ุงู„ุฃุณุงุณูŠุฉ
388
00:35:49,880 --> 00:35:57,420
ุงู„ุฃุณุงุณูŠุฉ
389
00:36:02,510 --> 00:36:08,890
ู‚ูŠู…ุฉ ุฏู„ุชุง ูƒูŠูˆ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ
390
00:36:08,890 --> 00:36:08,910
ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง
391
00:36:08,910 --> 00:36:10,830
ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ
392
00:36:10,830 --> 00:36:11,030
ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ
393
00:36:11,030 --> 00:36:12,210
ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ
394
00:36:12,210 --> 00:36:21,510
ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ ุงูˆ
395
00:36:21,510 --> 00:36:31,870
ุฏู„ุชุง ุจูŠ ุงูƒุณ
396
00:36:31,870 --> 00:36:44,640
ุงูˆDQ 10-6 1-2 3 16
397
00:36:44,640 --> 00:36:52,540
UD 4 1 3 16
398
00:37:19,270 --> 00:37:21,710
ุฃู…ุณุญ ุญุฏุงุŸ
399
00:37:24,830 --> 00:37:32,350
ุฃุฏุฑููˆ ุงู„ู€ demand curve for the product X ุฃุฏุฑููˆ ุงู„ู€
400
00:37:32,350 --> 00:37:43,670
demand curve for the product X ูƒู…ุง
401
00:37:43,670 --> 00:37:48,530
ุชุฑู‰ุŒ ู„ุฏูŠู†ุง 2 ู†ู‚ุทุฉ ู…ู† XุŒ ู„ู‚ูŠู… X ูˆู…ู‚ุงูˆู…ุฉ X
402
00:37:52,050 --> 00:38:03,510
ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ X ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู† X ุงู„ู‚ูŠู…ุฉ 1 2 1 2 3
403
00:38:03,510 --> 00:38:16,670
ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ 2 4 6 8 10 12 ููŠ ุงู„ู‚ูŠู…ุฉ 1 ุฃูˆ ุงู„ู‚ูŠู…ุฉ
404
00:38:16,670 --> 00:38:19,850
2 ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู†ู‡ุง 6
405
00:38:25,900 --> 00:38:31,560
ู…ุซู„ู‹ุง ุฅุฐุง ูƒุงู†ุช ู†ู‚ุทุฉ A ููŠ ุงู„ุฃุณุนุงุฑ 1 ุงู„ู…ุณุงุนุฏุฉ ูƒุงู†ุช
406
00:38:31,560 --> 00:38:38,800
10 ููŠ ุงู„ุฃุณุนุงุฑ 2 .. ุฃุณู .. 1 ุงู„ู…ุณุงุนุฏุฉ ุงู„ู…ุณุงุนุฏุฉ ูƒุงู†ุช
407
00:38:38,800 --> 00:38:43,520
10 ู…ุซู„ู‹ุง ุฅุฐุง ูƒุงู†ุช ู†ู‚ุทุฉ E ุฅุฐุง ู‚ู…ู†ุง ุจุชูˆุตูŠู„ ู‡ุฐู‡
408
00:38:43,520 --> 00:38:48,160
ุงู„ู†ู‚ุทุฉ ู…ุน ุจุนุถู†ุง ุณู†ุตู„ ุฅู„ู‰ ุทุฑูŠู‚ุฉ ุงู„ู…ุณุงุนุฏุฉ ู‡ุฐู‡ ู‡ูŠ
409
00:38:48,160 --> 00:38:53,120
ุงู„ุทุฑูŠู‚ุฉ ุงู„ู…ุณุงุนุฏุฉ ู„ุดุฑูƒุฉ X ุตุญูŠุญุŸ ู„ุฏูŠ ุณุคุงู„ ุฃุฎุฑ
410
00:38:57,140 --> 00:39:06,740
ุนู†ุฏู…ุง ู†ุฑู‰ ุฃู† ุงู„ุณุนุฑ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
411
00:39:06,740 --> 00:39:07,560
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
412
00:39:07,560 --> 00:39:08,120
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
413
00:39:08,120 --> 00:39:08,900
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
414
00:39:08,900 --> 00:39:09,200
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
415
00:39:09,200 --> 00:39:10,700
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
416
00:39:10,700 --> 00:39:11,300
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
417
00:39:11,300 --> 00:39:17,240
ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„ ูŠุฒุงู„
418
00:39:17,240 --> 00:39:18,700
ูŠ
419
00:39:21,080 --> 00:39:26,600
ู…ู…ุชุงุฒุŒ ุญุณู†ุงุŒ ู„ุฐู„ูƒ ูƒู…ุง ุฐูƒุฑู†ุง ุฃูˆ ูƒู…ุง ุฑุฃูŠู†ุง ุฃู†ู‡ ุนู†ุฏู…ุง
420
00:39:26,600 --> 00:39:30,160
ูŠูƒูˆู† ุงู„ุชุทุจูŠู‚ ุบูŠุฑ ู…ุฑุชุจุทุŒ ูุณูŠูƒูˆู† ุงู„ู…ุณุชุฎุฏู… ุฃูƒุชุฑ ู…ู†
421
00:39:30,160 --> 00:39:32,960
ุงู„ู…ุฌุงู„ ุงู„ุชุฌุงุฑูŠุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ ูˆู…ุงุฐุง ุนู† ุงู„ุชุฌุงุฑุฉ
422
00:39:32,960 --> 00:39:40,240
ุงู„ุชู‚ู„ูŠุฏูŠุฉุŸ ู‡ู„ ุณุชุฒุฏุงุฏ ุฃูˆ ุชุชู‚ู„ุŸ ุชุฒุฏุงุฏ
423
00:39:40,240 --> 00:39:45,560
ุงู„ุณุนุฑ ู…ู† 2 ุฅู„ู‰ 1ุŒ ุชุฌุงุฑุฉ ุงู„ุชุฌุงุฑุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุณุชุชุฎู„ุตุŒ
424
00:39:45,560 --> 00:39:49,180
ู…ู…ุชุงุฒุŒ ู„ุฃู† ุงู„ุชุทุจูŠู‚ ุบูŠุฑ ู…ุฑุชุจุทุŒ
425
00:39:51,840 --> 00:39:57,880
ูƒู…ุง ุชุฑู‰ ุฅุฐุง ุญุงูˆู„ู†ุง ุชุฎุทูŠุท ุงู„ู€ Total Revenue ู‡ุฐุง ู‡ูˆ
426
00:39:57,880 --> 00:40:03,020
ุงู„ู€ Total Revenue ููŠ
427
00:40:03,020 --> 00:40:11,880
ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุณุนุฑ ู…ุฑุฉ ูƒู…ุงู† 12 1 x 10 ู‡ูˆ 10 ููƒู…ุง ุชุฑู‰
428
00:40:11,880 --> 00:40:15,960
ุนู†ุฏู…ุง ุงุชุฎู„ุท ุงู„ุณุนุฑ ู…ู† 2 ุฅู„ู‰ 1 ุงู„ู€ Total Revenue
429
00:40:15,960 --> 00:40:20,360
ุงุชุฎู„ุท ู„ุฃู† ุงู„ู…ุทุงู„ุจ ุบูŠุฑ ู…ุฑุชุจุทุŒ ุตุญูŠุญุŸ
430
00:40:28,510 --> 00:40:32,350
calculate or draw the demand curve for the product
431
00:40:32,350 --> 00:40:37,610
y not x here now we are talking about the product
432
00:40:37,610 --> 00:40:41,950
y calculate or draw the demand curve for the
433
00:40:41,950 --> 00:40:47,250
product y not x draw the demand curve for the
434
00:40:47,250 --> 00:40:52,890
product y draw
435
00:40:58,550 --> 00:41:11,730
ุงู„ู…ุทุงู„ุจ ูŠุชุนุงู…ู„ ู…ุน ู…ุฌู…ูˆุนุฉ Y ูƒู…ุง
436
00:41:11,730 --> 00:41:18,610
ุชุนู„ู… ุฃู† ู‚ูŠู…ุฉ Y ู„ู† ุชุชุบูŠุฑ ุฃูˆ ู„ู† ุชุชุบูŠุฑ ู„ุฐุง ู‡ุฐุง ู‡ูˆ
437
00:41:18,610 --> 00:41:21,970
ู‚ูŠู…ุฉ Y ูˆู…ุฌู…ูˆุนุฉ Y ูˆุฏุนูˆู†ุง ู†ุชุฎู„ุต ู…ู† ู‡ู†ุง
438
00:41:28,820 --> 00:41:35,820
ูู‡ู†ุง ู†ุชุญุฏุซ ุนู† ู‚ูŠู…ุฉ Y ูˆู‚ูŠู…ุฉ ุงู„ู…ุทุงู„ุจุฉ Y ููŠ ุงู„ุญุงู„ุฉ
439
00:41:35,820 --> 00:41:47,860
ุงู„ุฃูˆู„ู‰ ู‚ูŠู…ุฉ Y ูƒุงู†ุช 2 ูƒู… ู‚ูŠู…ุฉ ุงู„ู…ุทุงู„ุจุฉ Y ูƒุงู†ุช 4 ุซู…
440
00:41:47,860 --> 00:41:54,580
ู‚ูŠู…ุฉ Y ู„ู… ุชุชุบูŠุฑ ุงูˆ ู„ู… ุชุชุบูŠุฑ 2 ู‚ูŠู…ุฉ ุงู„ู…ุทุงู„ุจุฉ ุชุบูŠุฑ
441
00:41:54,580 --> 00:41:55,200
ุฅู„ู‰ 5
442
00:41:59,990 --> 00:42:07,930
ู„ุฐุง ุฏุนูˆู†ุง ู†ุฑุณู… ุญุฑูƒุฉ ุฏู…ุงุบ Y ู‚ูŠู…ุฉ
443
00:42:07,930 --> 00:42:24,770
1 2 3 ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ Y ู‚ูŠู…ุฉ ุฏู…ุงุบ Y 1 2 3 4 5 6 ุงุถุงูุฉ
444
00:42:24,770 --> 00:42:31,500
ู‚ูŠู…ุฉ 2ุงู„ุฃูˆู„ ู…ูุงุฌุฃุฉ ููŠ ู…ูุงุฌุฃุฉ 2 ู…ูุงุฌุฃุฉ ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ
445
00:42:31,500 --> 00:42:42,600
ุทู„ุจุช Y ูƒุงู†ุช 4 2 4 ู…ูุงุฌุฃุฉ A ู…ูุงุฌุฃุฉ B ููŠ ู…ูุงุฌุฃุฉ 2
446
00:42:42,600 --> 00:42:48,560
ู…ูุงุฌุฃุฉ ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ ุทู„ุจุช Y ูƒุงู†ุช 5 ู…ูุงุฌุฃุฉ
447
00:42:48,560 --> 00:42:53,600
ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ ุทู„ุจุช Y ูƒุงู†ุช 5 ู…ูุงุฌุฃุฉ ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ ุทู„ุจุช
448
00:42:53,600 --> 00:42:55,500
Y ูƒุงู†ุช 5
449
00:42:58,110 --> 00:43:02,190
ู„ูˆ ูƒุงู† ุงู„ุณุนุฑ ูŠุจู‚ู‰
450
00:43:02,190 --> 00:43:08,130
ู…ุณุชู…ุฑุŒ ูุงู„ู‚ูˆุฉ ุณุชุทู„ุจ ุชุบูŠูŠุฑ ูƒุจูŠุฑ.
451
00:43:11,130 --> 00:43:15,590
ู…ู† ุณูŠูƒูˆู† ุฃูƒุชุฑ ุฃูˆ ุฃู‚ู„ ุฃูˆ ุฃูƒุชุฑ ุฃูˆ ุฃูƒุชุฑ ุฃูˆ ุฃูƒุชุฑ ู…ู†
452
00:43:15,590 --> 00:43:16,330
ู…ุฌู…ูˆุนุฉ ุงู„ุชุฌุงุฑุฉุŸ
453
00:43:20,790 --> 00:43:25,270
who? who's? the producer yes the producer will be
454
00:43:25,270 --> 00:43:28,490
at the hall of tax board if the government imposed
455
00:43:28,490 --> 00:43:34,090
or sets a tax of or on the product B or sorry Y
456
00:43:34,090 --> 00:43:36,870
right ุชู…ุงู…ุŸ okay
457
00:43:42,240 --> 00:43:48,600
ู„ู†ุฃุฎุฐ ู…ุฑุญู„ุฉ ุฃุฎุฑู‰ ุฃูˆ ู…ุซุงู„ ู…ุฑุชุจุท ุจู€ Consumers
458
00:43:48,600 --> 00:43:52,580
Equilibrium ุจุงุณุชุฎุฏุงู… ุชheory of Marginal Utility
459
00:44:11,150 --> 00:44:16,130
ู…ุซู„ู‹ุง ุฅุฐุง ูƒุงู† ู„ุฏูŠู†ุง ู…ุณุชุฎุฏู… ูˆ ู‡ุฐุง ุงู„ู…ุณุชุฎุฏู… ูŠุดุฑุจ
460
00:44:16,130 --> 00:44:20,790
ุงุชุฌุงุฑูŠู† ุงูˆ ุงุชุฌุงุฑูŠู† ุงูˆ ุงุชุฌุงุฑูŠู† ุงูˆ ุงุชุฌุงุฑูŠู† ุงูˆ
461
00:44:20,790 --> 00:44:26,630
ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† ุงุชุฌุงุฑูŠู† ุงุชุฌุงุฑูŠู† ุงุชุฌุงุฑูŠู† A ูˆ
462
00:44:26,630 --> 00:44:31,510
B ุงุชุฌุงุฑูŠู† ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ
463
00:44:31,510 --> 00:44:31,690
B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B
464
00:44:31,690 --> 00:44:31,690
ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู†
465
00:44:31,690 --> 00:44:31,690
A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B
466
00:44:31,690 --> 00:44:31,690
ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู† A ูˆ B ุงุชุฌุงุฑูŠู†
467
00:44:31,690 --> 00:44:31,690
A ูˆ B
468
00:44:35,340 --> 00:44:39,180
ุงู„ุดุฑูƒุฉ ุชุณุชุฎุฏู… 2 ุฃุดูŠุงุก ุฃูˆู„ุง ุฃุดูŠุงุก A ูˆ ุฃูˆู„ุง ุฃุดูŠุงุก B
469
00:44:39,180 --> 00:44:57,780
ุฏุนูˆู†ุง ู†ุฑุณู… ุงู„ุทุงุจู‚ ู‡ู†ุง 1
470
00:44:57,780 --> 00:45:01,400
2 3 4
471
00:45:04,000 --> 00:45:12,780
ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ
472
00:45:12,780 --> 00:45:16,220
ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A
473
00:45:16,220 --> 00:45:16,920
ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ
474
00:45:16,920 --> 00:45:16,920
ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A
475
00:45:16,920 --> 00:45:17,060
ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ
476
00:45:17,060 --> 00:45:17,060
ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A
477
00:45:17,060 --> 00:45:17,060
ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ
478
00:45:17,060 --> 00:45:21,200
ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ
479
00:45:21,200 --> 00:45:28,520
ู…ุทุงู„ุจุฉ ู…ู† A ู…ุฌู…ูˆุนุฉ ู…ุทุงู„ุจุฉ
480
00:45:28,520 --> 00:45:37,640
ู…ู† A ู…ุฌู…ูˆุน2 .. 3 .. 4 .. 5 .. 6 .. ุฅุนุชุจุงุฑ ุฃู†
481
00:45:37,640 --> 00:45:42,360
ุงู„ูˆุซูŠู‚ุฉ ุงู„ูƒุงู…ุฉ ู„ู„ูˆุซูŠู‚ุฉ A ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ู…ุชุนู„ู‚ุฉ
482
00:45:42,360 --> 00:45:49,360
ุจุงู„ูˆุซูŠู‚ุฉ A ุงู„ูˆุซูŠู‚ุฉ
483
00:45:49,360 --> 00:45:59,020
ุงู„ูƒุงู…ุฉ ู„ู„ูˆุซูŠู‚ุฉ A ูƒุงู†ุช ุชุชุจุน 40 .. 70 .. 90 .. 100
484
00:45:59,020 --> 00:46:08,160
.. 105 ..ูˆุงุญุฏ ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
485
00:46:08,160 --> 00:46:08,340
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
486
00:46:08,340 --> 00:46:12,620
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
487
00:46:12,620 --> 00:46:12,680
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
488
00:46:12,680 --> 00:46:14,820
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
489
00:46:14,820 --> 00:46:17,840
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
490
00:46:17,840 --> 00:46:22,780
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
491
00:46:22,780 --> 00:46:22,800
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
492
00:46:22,800 --> 00:46:23,080
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
493
00:46:23,080 --> 00:46:27,520
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃ
494
00:46:45,620 --> 00:46:52,620
ู…ู† 1 ุฅู„ู‰ 13 ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ ู…ุทู„ูˆุจุฉ ู…ู† B ู…ุฌู…ูˆุนุฉ ู…ู† V
495
00:46:52,620 --> 00:46:56,500
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
496
00:46:56,500 --> 00:46:58,840
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
497
00:46:58,840 --> 00:46:59,140
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
498
00:46:59,140 --> 00:46:59,220
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
499
00:46:59,220 --> 00:46:59,280
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
500
00:46:59,280 --> 00:46:59,280
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
501
00:46:59,280 --> 00:46:59,280
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
502
00:46:59,280 --> 00:47:07,680
ู…ุฌู…ูˆุนุฉ
503
00:47:10,730 --> 00:47:32,530
6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13
504
00:47:32,530 --> 00:47:41,220
And the total utility of product B is as follows15
505
00:47:41,220 --> 00:47:59,140
23 30 35 38 40.5 42.5 44 45
506
00:47:59,140 --> 00:48:06,540
45.75 46
507
00:48:06,540 --> 00:48:08,840
.25
508
00:48:10,650 --> 00:48:20,970
46.5 46.5 ุงูŠุถุง ุงุฐุง
509
00:48:20,970 --> 00:48:34,890
ู‚ูŠู…ุฉ A P,A,F ู‚ูŠู…ุฉ A ุงู‚ู„ 2 ูˆู‚ูŠู…ุฉ B ุงู‚ู„ 0.5 ุงูˆ ู†ุตู
510
00:48:34,890 --> 00:48:39,810
ูˆุงู†ุชุฌุฉ ุงู„ู†ุงุณ ุงู‚ู„
511
00:48:39,810 --> 00:48:46,990
8ู…ุง ู‡ูŠ ุงูŠู‚ุงุฑุงุช ุงู„ุจุฑุงู…ุฌ ุงู„ูˆุงู‚ุนูŠุฉ ู„ู€ A ูˆB ุงู„ุชูŠ ุชู‚ูˆู…
512
00:48:46,990 --> 00:48:51,870
ุจุชุญููŠุฒ ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏุงู… ุงู„ูˆุงุถุญ ู„ู„ู…ุณุชุฎุฏู…
513
00:48:55,700 --> 00:49:02,240
ุงู„ู…ุนุงุฏู„ุงุช ุงู„ู€ A ูˆB ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุงุณุชุฎุฏุงู… ุงู„ู…ุนุงุฏู„ุงุช
514
00:49:02,240 --> 00:49:09,920
ุงู„ู€ A ูˆู…ุนุงุฏู„ุฉ ุงู„ู€ B ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ A ุนู„ู‰ P A ูŠุฌุจ ุฃู†
515
00:49:09,920 --> 00:49:15,820
ุชูƒูˆู† ุงูŠุถุง ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ B ุนู„ู‰ P B ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุจุฏุฃ
516
00:49:15,820 --> 00:49:22,860
ุจุงู„ุงุณุชุฎุฏุงู… ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ Aุนู„ู‰ ู†ู‚ุทุฉ ูˆุงุญุฏุฉุŒ ูŠุฌุจ ุฃู†
517
00:49:22,860 --> 00:49:25,580
ูŠูƒูˆู† ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ุฃู‚ู„ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ู„ู€ AุŒ
518
00:49:25,580 --> 00:49:33,220
ู„ุฐู„ูƒ 40ุŒ ุซู… 70 ู…ู‚ุงุฑู†ุฉ 40 ุนุงุฏุฉ 2 ู…ู‚ุงุฑู†ุฉ 1ุŒ ูƒู…ุง
519
00:49:33,220 --> 00:49:37,960
ุชุนู„ู…ูŠู† ุฃู† MUA ูŠู‚ู„ ู„ู€ Delta Q ุฃูˆ Delta Tu A ุนุงุฏุฉ
520
00:49:37,960 --> 00:49:43,280
Delta QุŒ ู„ุฐู„ูƒ 70 ู…ู‚ุงุฑู†ุฉ 30 ุนุงุฏุฉ 2 ู…ู‚ุงุฑู†ุฉ 1ุŒ 30ุŒ
521
00:49:43,280 --> 00:49:54,010
20ุŒ10, 5, 2 ุงูˆ
522
00:49:54,010 --> 00:49:56,690
10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ
523
00:49:56,690 --> 00:50:01,110
10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ
524
00:50:01,110 --> 00:50:06,670
10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10,
525
00:50:10,190 --> 00:50:10,590
5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5,
526
00:50:10,930 --> 00:50:16,060
2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2 ุงูˆ 10, 5, 2ู…ุงุฐุง ุนู†
527
00:50:16,060 --> 00:50:21,000
ุงู„ู…ูˆุถูˆุน ุงู„ุซุงู†ูŠ ุงูˆ ุงู„ู…ูˆุถูˆุน BุŸ ู„ู„ู…ูˆุถูˆุน BุŒ ุงู„ู…ู‚ุงุฑู†ุฉ
528
00:50:21,000 --> 00:50:26,120
ุจู€ B 15 23
529
00:50:26,120 --> 00:50:42,920
minus 15 over 2 minus 1 ูƒู…ุŸ 8 ุซู… 7 5 3 2.5 ูƒู…ุŸ 2 1
530
00:50:42,920 --> 00:50:44,780
.5
531
00:50:46,160 --> 00:50:56,980
ูˆ 0.75 ูƒู…ุŸ ู†ุตู 0
532
00:50:56,980 --> 00:51:03,060
.25 ูˆ ุงู„ุฃุฎูŠุฑ 0 ู„ุชุฎุทูŠุท
533
00:51:03,060 --> 00:51:07,780
ุงุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ู„ุฐูŠ ู‚ู…ุช ุจู‡ ุงู„ุจุฑุงุฏุฑ
534
00:51:07,780 --> 00:51:18,170
ุจูŠู‡ ู…ูŠูˆ ุจูŠ ุนู…ุฑ ุจูŠ ุจูŠ 15 ุนู…ุฑ ู†ุตูุทุจุนุง times two yes
535
00:51:18,170 --> 00:51:34,030
15 times two over half 30 16 14 10 6 5 4 3 2 1.5 1
536
00:51:34,030 --> 00:51:44,890
0.5 0 rightู„ุชุฎุทูŠุท ู…ู‚ุงูˆู…ุฉ ุงู„ุงูŠูƒูˆู„ูŠุจุฑุงู… ู„ู€ X ูˆY ุฃูˆ A
537
00:51:44,890 --> 00:51:48,050
ูˆB ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุญุฑูŠุฑ ุฅุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„
538
00:51:48,050 --> 00:51:54,570
ู„ู„ู…ุณุชุฎุฏู… ูƒู…ุง ุฐูƒุฑู†ุง ุฃู†ู†ุง ู„ุฏูŠู†ุง ุงุชุฌุงุฑุงุช ุงูˆู„ู‰ ู…ูŠูˆ ุงูŠ
539
00:51:54,570 --> 00:52:03,350
ู…ูŠูˆ ุงูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
540
00:52:03,350 --> 00:52:06,530
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
541
00:52:06,530 --> 00:52:08,530
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
542
00:52:08,530 --> 00:52:08,550
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุง ูˆ ู…ูŠูˆ ุจูŠ ุง
543
00:52:08,550 --> 00:52:08,550
ูˆ ู…ูŠูˆ ุจูŠ ุง ูˆ ู…ูŠูˆ ุจูŠ ุง ูˆ ู…ูŠูˆ ุจูŠ ุง ูˆ ู…ูŠูˆ ุจูŠ ุง ูˆ ู…
544
00:52:09,920 --> 00:52:20,880
ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุงุŸ ุฏุนู†ุง ู†ุฃุฎุฐ ุญุงู„ุชูŠู† ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ
545
00:52:20,880 --> 00:52:24,800
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
546
00:52:24,800 --> 00:52:27,200
ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ
547
00:52:27,200 --> 00:52:27,380
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
548
00:52:27,380 --> 00:52:27,980
ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ
549
00:52:27,980 --> 00:52:28,000
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
550
00:52:28,000 --> 00:52:38,000
ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ
551
00:52:38,000 --> 00:52:48,780
ูˆ ู…ูŠ10 ูˆ 10 5 yes 2
552
00:52:48,780 --> 00:52:59,720
.5 ู‡ู„ ู‡ู†ุงูƒ 2.5 ู„ุง 1 ู†ุนู… 1 ู†ุนู… ู…ุชูˆูุฑ ู„ุฐู„ูƒ
553
00:52:59,720 --> 00:53:08,140
ุงู„ูˆุถุน ุงู„ุฃูˆู„ ู…ู„ุชู‚ู‰ ุงู„ูˆุถุน
554
00:53:08,140 --> 00:53:08,200
ุงู„ุฃูˆู„
555
00:53:13,090 --> 00:53:21,550
is met at three cases these
556
00:53:21,550 --> 00:53:26,290
cases are ten five and one and one and one ten
557
00:53:26,290 --> 00:53:33,350
five and one so let's do the second or test the
558
00:53:33,350 --> 00:53:39,150
second condition the second condition met at
559
00:53:44,490 --> 00:53:55,610
when I equals PA times QA plus PB times QB or
560
00:53:55,610 --> 00:54:00,890
income is how much the first condition or at 10
561
00:54:02,690 --> 00:54:08,130
ู„ู†ุฃุฎุฐ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุญุงู„ุงุช ูˆุงุญุฏุฉ ุนู„ู‰ ูˆุงุญุฏุฉ ุชุฌุงุฑุจ ู‡ุฐู‡
562
00:54:08,130 --> 00:54:13,330
ุงู„ุซู„ุงุซ ุญุงู„ุงุช ูˆุงุญุฏุฉ ุนู„ู‰ ูˆุงุญุฏุฉ ู„ุฐู„ูƒ ููŠ a ู†ู‚ู„ 8 ูŠุฌุจ
563
00:54:13,330 --> 00:54:24,150
ุฃู† ูŠูƒูˆู† ุงูŠู‚ุงู„ ุฃุณุนุงุฑ a ู‡ูˆ 2 ุงู„ู…ุฑุฉ ุงู„ู…ุงุฏุฉ ู…ู† a ููŠ 10
564
00:54:24,150 --> 00:54:30,310
ุงู„ู…ุฑุฉ ุงู„ู…ุงุฏุฉ ู…ู† a ููŠ 10 ู‡ูˆ ูƒู…ุŸ 3 ู†ุนู… 3
565
00:54:32,630 --> 00:54:41,190
plus the price of B half times the quantity of B
566
00:54:41,190 --> 00:54:51,410
at ten four yes so it must equal two times three
567
00:54:51,410 --> 00:54:59,960
six plus two achieved or metู„ุง ูŠูˆุฌุฏ ุญุงุฌุฉ ู„ุชุฌุงุฑุจ
568
00:54:59,960 --> 00:55:06,520
ุงู„ุงุฎุฑูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงูˆ ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
569
00:55:06,520 --> 00:55:07,420
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
570
00:55:07,420 --> 00:55:08,060
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
571
00:55:08,060 --> 00:55:12,740
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
572
00:55:12,740 --> 00:55:15,360
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
573
00:55:15,360 --> 00:55:15,380
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
574
00:55:15,380 --> 00:55:15,380
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
575
00:55:15,380 --> 00:55:17,380
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู†
576
00:55:17,380 --> 00:55:24,660
ุงู„ุงุณุงุณูŠูŠู† ุงู„ุงุณุงุณูŠูŠู† ุงู„
577
00:55:25,910 --> 00:55:34,690
ู„ุฃู†ู†ุง ู†ุนุฑู ุฃู† ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช A ูˆB ุชุญูุฒ ู†ุชูŠุฌุฉ
578
00:55:34,690 --> 00:55:44,190
ุงู„ู…ุณุชุฎุฏู…ุŒ ุตุญูŠุญุŸ ุญุณู†ุงุŒ ู„ุฐุง ุฏุนูˆู†ุง ู†ู‚ุฑุฃ ูˆู†ู‚ุฑุฃ ู‡ุฐุง
579
00:55:44,190 --> 00:55:44,530
ุงู„ู…ูˆุถูˆุน
580
00:55:52,620 --> 00:55:54,980
ู†ุญู† ู„ุฏูŠู†ุง .. ุงุนุชุจุงุฑ ุงู† ู†ุญู† ู„ุฏูŠู†ุง ู‚ุงุฆู…ุฉ ุงู„ุงุฎุชุตุงุฑุงุช
581
00:55:54,980 --> 00:56:03,000
ุงู„ุชุงู„ูŠุฉ ู‡ุฐู‡ ู‡ูŠ ูƒู…ูŠุฉ a ูƒู…ูŠุฉ
582
00:56:03,000 --> 00:56:10,560
v ูƒู…ูŠุฉ ุงุณุชุฎุฏุงู… ุงูƒุชุณุงุจ
583
00:56:10,560 --> 00:56:16,940
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
584
00:56:16,940 --> 00:56:18,520
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
585
00:56:18,520 --> 00:56:21,560
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
586
00:56:21,560 --> 00:56:27,010
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจุนู†ุฏู…ุง ู†ุดุฑุญ ุฃู†ู†ุง ู†ุฏุนูŠ ุงู„ู…ุณุชุฎุฏู…
587
00:56:27,010 --> 00:56:37,610
ุฃู† ูŠุดุชุฑูŠ ุซู„ุงุซุฉ ู…ู† A ุซู„ุงุซุฉ ุนูŠูˆู† ู…ู† A ูˆ ุฃุฑุจุนุฉ ุนูŠูˆู†
588
00:56:37,610 --> 00:56:44,980
ู…ู† B ูŠุนู†ูŠ ุซู„ุงุซุฉ A ูˆ ุฃุฑุจุนุฉ Bูˆู‚ุฏ ู‚ู„ู†ุง ุฃู† ู‡ุฐู‡
589
00:56:44,980 --> 00:56:49,420
ุงู„ู…ู‚ุงูˆู…ุงุช A ูˆB ุณุชู‚ูˆู… ุจุฅุนุงุฏุฉ ุฅุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…
590
00:56:49,420 --> 00:56:58,620
ุจุงู„ูƒุงู…ู„ุŒ ู„ุฐุง ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ AุŒ ูƒู…ุŸ 3ุŒ ุงู„ู…ู‚ุงูˆู…ุฉ V ู‡ูŠ
591
00:56:58,620 --> 00:57:08,200
4ุŒ ูˆููŠ ุงู„ู…ู‚ุงูˆู…ุฉ AุŒ ุนู†ุฏู…ุง ุงู„ู…ู‚ุงูˆู…ุฉ A ู‡ูŠ 3ุŒ ูƒู… ูŠุนู…ู„
592
00:57:08,200 --> 00:57:14,390
ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…ุŸุนุดุงู† 90 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุนุดุงู† ุนุดุงู†
593
00:57:14,390 --> 00:57:14,710
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
594
00:57:14,710 --> 00:57:15,030
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
595
00:57:15,030 --> 00:57:16,010
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
596
00:57:16,010 --> 00:57:18,150
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
597
00:57:18,150 --> 00:57:21,270
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
598
00:57:21,270 --> 00:57:22,230
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
599
00:57:22,230 --> 00:57:29,130
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุด
600
00:57:31,260 --> 00:57:35,960
ูƒู… ู‡ูˆ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
601
00:57:35,960 --> 00:57:39,860
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
602
00:57:39,860 --> 00:57:41,700
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
603
00:57:41,700 --> 00:57:42,800
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
604
00:57:42,800 --> 00:57:44,240
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
605
00:57:44,240 --> 00:57:45,660
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
606
00:57:45,660 --> 00:57:51,100
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
607
00:57:51,100 --> 00:57:57,740
ุงู„
608
00:57:59,810 --> 00:58:07,490
ุฃูˆ ุนู†ุฏู…ุง ูŠุดุชุบู„ ุงู„ู…ุณุชุฎุฏู… 2 ุฌุฒูŠุฑุฉ A ูˆ 8 ุฌุฒูŠุฑุฉ B ุฅุฐุง
609
00:58:07,490 --> 00:58:18,850
ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุดุชุบู„ .. ุฅุฐุง
610
00:58:18,850 --> 00:58:27,050
ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุดุชุบู„
611
00:58:29,070 --> 00:58:34,470
ุชุณุชุฎุฏู… 2 ุฌู…ุนุงุช ูˆ
612
00:58:34,470 --> 00:58:42,390
8 ุฌู…ุนุงุช ู…ู† B ุฏุนูˆู†ุง ู†ุฌุฑุจ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ ุงู„ูˆุถุน
613
00:58:42,390 --> 00:58:52,650
ุงู„ุซุงู†ูŠ ู‡ูˆ I ุฅูŠู‚ุงุฑ P A X Q A ุจู„ุณ P B X QB I ู‡ูˆ ูƒู…ุŸ
614
00:58:52,650 --> 00:59:06,550
8 ุฅูŠู‚ุงุฑ ุนู…ู„ A ู‡ูˆ 2ู…ุน ุงู„ู…ู‚ุงูˆู…ุฉ ู„ู€ A 2 ุงู„ู…ู‚ุงูˆู…ุฉ
615
00:59:06,550 --> 00:59:21,710
ุจู„ุณุฉ ุจูŠู‡ ู†ุตู ูˆ ุงู„ู…ู‚ุงูˆู…ุฉ ูƒู…ูŠุฉ ููŠ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
616
00:59:21,710 --> 00:59:22,090
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
617
00:59:22,090 --> 00:59:23,330
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
618
00:59:23,330 --> 00:59:23,550
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
619
00:59:23,550 --> 00:59:23,550
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
620
00:59:23,550 --> 00:59:23,550
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
621
00:59:23,550 --> 00:59:27,130
ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซ
622
00:59:28,620 --> 00:59:34,600
ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ูˆู„ูƒู† ู…ุงุฐุง ุนู† ุงู„ูˆุถุน ุงู„ุฃูˆู„ุŸ ููŠ ู‡ุฐู‡
623
00:59:34,600 --> 00:59:37,600
ุงู„ุญุงู„ุฉุŒ ุฃูˆ ุฏุนู†ุง ู†ู‚ูˆู… ุจุชุฎุทูŠุท ุฅุณุชุฎุฏุงู… ุงู„ู…ุฌุชู…ุน
624
00:59:37,600 --> 00:59:40,820
ุงู„ู…ุฌุชู…ุนูŠ
625
00:59:43,530 --> 00:59:53,090
ูŠูƒูˆู† ู‡ู†ุงูƒ ุงุชุตุงู„ ุงุชุตุงู„
626
00:59:53,090 --> 00:59:57,010
ุงุชุตุงู„ ุงุชุตุงู„
627
00:59:57,010 --> 01:00:04,410
ุงุชุตุงู„
628
01:00:04,410 --> 01:00:10,310
ุงุชุตุงู„
629
01:00:10,310 --> 01:00:11,490
ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„
630
01:00:11,490 --> 01:00:19,600
ุงุชุตุงู„ุฃุช ุงุช the total utility of B is 44 how much
631
01:00:19,600 --> 01:00:26,980
does the total utility 114 which combination of
632
01:00:26,980 --> 01:00:31,400
the quantity of X and Y or A and B gives the
633
01:00:31,400 --> 01:00:36,320
consumer maximum utility the first the first
634
01:00:36,320 --> 01:00:39,440
combination because the first combination three
635
01:00:39,440 --> 01:00:45,950
units of A and fouryes because it meets the two
636
01:00:45,950 --> 01:00:49,670
conditions first condition and the second let us
637
01:00:49,670 --> 01:00:54,970
test this
638
01:00:54,970 --> 01:00:59,290
or when the consumer consumes two units of a and
639
01:00:59,290 --> 01:01:03,550
eight of b does the first condition achieved or
640
01:01:03,550 --> 01:01:11,650
meet we will see let us do a testุงู„ูˆุงุถุญุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ
641
01:01:11,650 --> 01:01:18,310
ู…ูŠูˆ ุงูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
642
01:01:18,310 --> 01:01:18,630
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
643
01:01:18,630 --> 01:01:21,250
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
644
01:01:21,250 --> 01:01:21,270
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
645
01:01:21,270 --> 01:01:21,710
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
646
01:01:21,710 --> 01:01:29,150
ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ ู…ูŠูˆ ุจูŠ ุงูˆ
647
01:01:29,150 --> 01:01:34,870
ู…ูŠูˆ
648
01:01:34,870 --> 01:01:35,590
ุจูŠ ุง
649
01:01:48,610 --> 01:01:59,270
15 ุฃูƒุชุฑ ู…ู† 3 ูุงู„ุฃูˆู„ ุญุงู„ุฉ ู„ุง ุชู†ุฌุญ
650
01:02:05,500 --> 01:02:14,300
ูˆุงู„ุซุงู†ูŠ ู…ุตุทู„ุญ ู…ูˆุฌูˆุฏ ูุงู„ู…ุตุทู„ุญ ุงู„ุฃูˆู„ ู„ูŠุณ ู…ูˆุงุฌู‡ ุฃูˆ
651
01:02:14,300 --> 01:02:22,740
ู…ูˆุงุฌู‡ุŒ ู„ูŠุณ ู…ูˆุงุฌู‡ุŒ ุตุญุŸ ู„ุฏูŠู†ุง ุญุงู„ุฉ ุฃุฎุฑู‰ ู…ูˆุงุฌู‡
652
01:02:22,740 --> 01:02:29,820
ุงู„ู…ุตุทู„ุญ ุงู„ุซุงู†ูŠ ุฅุฐุง ู†ุญู† ู…ู† ุงู„ู…ุณุชุฎุฏู… ู†ุดุชุบู„ ุฃุญุฏ ุฃุฌุฒุงุก
653
01:02:29,820 --> 01:02:39,820
A ูˆ 10 ุฃุฌุฒุงุก B12 units of B yes in this case if
654
01:02:39,820 --> 01:02:44,900
the consumer consumes one unit of A and 12 units
655
01:02:44,900 --> 01:02:51,220
of B let us do the second test the second
656
01:02:51,220 --> 01:02:59,200
condition it equals the price of A two times the
657
01:02:59,200 --> 01:03:09,000
quote of A one plus the price of B halfู…ุน 12 ูŠุฌุจ
658
01:03:09,000 --> 01:03:18,500
ุฃู† ูŠูƒูˆู† 2.2 plus 6 ู„ู‚ุฏ ุชู… ุฅูŠุฌุงุฏู‡ ุฑูŠู…ูŠู„ุŒ ู„ูƒู† ู…ุงุฐุง
659
01:03:18,500 --> 01:03:24,620
ุนู† ุงู„ูˆุถุน ุงู„ุฃูˆู„ุŸ ู„ุง ุฃุนุฑูุŒ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุงู„ุชุฌุงุฑุจ ู‡ู†ุง
660
01:03:25,730 --> 01:03:30,430
ุงู„ู…ูˆุถูˆุน ุงู„ุฃูˆู„ ู‡ูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
661
01:03:30,430 --> 01:03:31,490
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
662
01:03:31,490 --> 01:03:33,110
ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
663
01:03:33,110 --> 01:03:34,130
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
664
01:03:34,130 --> 01:03:34,130
ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
665
01:03:34,130 --> 01:03:39,790
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
666
01:03:39,790 --> 01:03:45,770
ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
667
01:03:45,770 --> 01:03:50,570
ู…ูŠูˆ ุงูƒุณ
668
01:03:50,570 --> 01:03:51,570
ุฃูˆ
669
01:03:54,660 --> 01:03:57,800
ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
670
01:03:57,800 --> 01:04:00,340
ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
671
01:04:18,320 --> 01:04:23,940
ู„ุฐู„ูƒ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠ ู„ู… ูŠูุนู„ ุฃูˆ ู„ู… ูŠุตู„ุญุŒ ุตุญูŠุญุŸ ุงูˆ
672
01:04:23,940 --> 01:04:27,840
ู…ุงุชุŒ ุตุญูŠุญุŸ ู„ุฐู„ูƒุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุฏุนู†ุง ู†ู‚ูˆู… ุจุชุฎุทูŠุท
673
01:04:27,840 --> 01:04:34,320
ู…ูŠุฒุฉ ุนู…ู„ูŠุฉ A ูˆู…ูŠุฒุฉ ุนู…ู„ูŠุฉ B ูˆู…ูŠุฒุฉ ุนู…ู„ูŠุฉ ุฃูŠุถู‹ุงุŒ ููŠ A
674
01:04:34,320 --> 01:04:43,580
ุฃูˆ ู…ูŠุฒุฉ AุŒ ู…ูŠุฒุฉ ุนู…ู„ูŠุฉ A ู‡ูŠ ูƒู…ูŠุฉ 40ุŒ ูˆู…ูŠุฒุฉ B ู…ูŠุฒุฉ
675
01:04:43,580 --> 01:04:47,500
46.5
676
01:04:51,050 --> 01:04:53,310
ุณุชุฉ ูˆ ุชู…ุงู†ูŠู† point five point five point five
677
01:04:53,310 --> 01:04:56,930
point five point point point
678
01:04:56,930 --> 01:05:08,150
point
679
01:05:08,150 --> 01:05:08,270
point point point point point point point point
680
01:05:08,270 --> 01:05:08,490
point point point point point point point point
681
01:05:08,490 --> 01:05:08,490
point point point point point point point point
682
01:05:08,490 --> 01:05:08,490
point point point point point point point point
683
01:05:08,490 --> 01:05:08,490
point point point point point point point point
684
01:05:08,490 --> 01:05:08,490
point point point point point point point point
685
01:05:08,490 --> 01:05:08,510
point point point point point point point point
686
01:05:08,510 --> 01:05:08,530
point point point point point point point point
687
01:05:08,530 --> 01:05:08,530
point point point point point point point point
688
01:05:08,530 --> 01:05:08,530
point point point point point point point point
689
01:05:08,530 --> 01:05:08,530
point point point point point point point point
690
01:05:08,530 --> 01:05:08,530
point point point point point point point point
691
01:05:08,530 --> 01:05:08,530
point point point point point point point point
692
01:05:08,530 --> 01:05:08,530
point point point point point point point point
693
01:05:08,530 --> 01:05:08,530
point point point point point point point point
694
01:05:08,530 --> 01:05:08,530
point point point point point point point point
695
01:05:08,530 --> 01:05:08,530
point point point point point point point point
696
01:05:08,530 --> 01:05:08,530
point point point point point point point point
697
01:05:08,530 --> 01:05:08,530
point point point point point point point point
698
01:05:08,530 --> 01:05:08,530
point point point point point point point point
699
01:05:08,530 --> 01:05:08,530
point point point point point point point point
700
01:05:08,530 --> 01:05:08,530
point point point point point point point point
701
01:05:08,530 --> 01:05:08,530
point point point point point point point point
702
01:05:08,530 --> 01:05:08,530
point point point point point point point point
703
01:05:08,530 --> 01:05:08,530
point point point point point point point point
704
01:05:08,530 --> 01:05:08,550
point point point point point