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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ ููŠ ุงู„ุณู„ุณู„ุ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†ุชุงุฌ ุงู„ู…ุดุชุฑูƒ ุชุญุช ู†ุธุงู… ุงู„ูˆุถุน ุงู„ูˆุงู‚ุนูŠุŒ ู„ุฐุง ุฏุนูˆู†ุง
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ู†ุจุฏุฃ ููŠ ุงู„ู…ุซุงู„ ุงู„ุชุงู„ูŠ
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ุงุนุชุจุงุฑ ุฃู†ู†ุง ู„ุฏูŠู†ุง ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุนู† ู…ุณุชุฎุฏู…
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ูŠุดุชุบู„ ุจุชุฌุงุฑุชูŠู† X ูˆY
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X ูˆY
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X ูˆY X ูˆY X ูˆY X ูˆY
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ู‡ุฐู‡ ู‡ูŠ ู‚ูŠู…ุฉ ุงู„ู…ุฌู…ูˆุนุฉ ุฃูˆ ู…ุฌู…ูˆุนุงุช X ูˆ Y: 0ุŒ 1ุŒ 2ุŒ 3
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4ุŒ 5ุŒ 6ุŒ 7ุŒ 8ุŒ 9ุŒ 10. ู…ุฌู…ูˆุนุฉ 0ุŒ 1ุŒ 2ุŒ 3ุŒ 4ุŒ 5ุŒ 6ุŒ 7ุŒ 8ุŒ 9ุŒ 10. ุงุนุชุจุงุฑ
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ุฃู† ุชุฌุงุฑุฉ ุนู…ู„ูŠุฉ X ู‡ุฐุง
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ุงุชุฌุงุฑุฉ ุนู…ู„ูŠุฉ X: 0
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16ุŒ 30ุŒ
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41ุŒ 51ุŒ 60ุŒ 68ุŒ 75ุŒ
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81ุŒ 86ุŒ 89. The total utility of Y:
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0ุŒ 5ุŒ 10ุŒ 14ุŒ 17ุŒ 19ุŒ 20ุŒ
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20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ
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20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ
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20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ 20ุŒ
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20ุŒ 20ุŒ 20
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ู…ุง ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ุญุฏูŠุฉ ู„ู€ X ูˆY ุงู„ุชูŠ ุชู‚ูˆู… ุจุฅุนุงุฏุฉ
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ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…ุŸ
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ู…ู‚ุงุฑู†ุฉ ุจู…ุฌู…ูˆุนุงุช X ูˆY
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ูˆY
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ูˆX. ู…ุนู„ูˆู…ุงุช ุนู† ู…ุงู„ ุงู„ู…ุณุชุฎุฏู…ุŒ ูˆู‚ูŠู…ุฉ X ูˆ Y ุฅุฐุง ูƒุงู† ู…ุงู„
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ุงู„ู…ุณุชุฎุฏู… ูŠูˆู…ูŠุงู‹
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20$ุŒ ูˆู‚ูŠู…ุฉ X ูŠูˆู…ูŠุงู‹
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2$ุŒ ูˆู‚ูŠู…ุฉ Y ูŠูˆู…ูŠุงู‹ 2$ per unit. ุงู„ุฃุณุฆู„ุฉ ู‡ูŠ: ู…ุง ู‡ูŠ
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ุงู„ู…ู‚ุงูˆู…ุงุช ุงู„ุญุฏูŠุฉ ู„ู€ X ูˆY ุงู„ุชูŠ ุชุณุชุฎุฏู…ู‡ุง
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ุงู„ุดุฑูƒุฉุŸ
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ู„ู„ูƒูŠ ูŠู‚ูˆู… ุจุงุณุชุฎุฏุงู…ู‡
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ุจุงุณุชุฎุฏุงู…ู‡
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ุจุงุณุชุฎุฏุงู…ู‡
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ุจุงุณุชุฎุฏุงู…ู‡
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ู„ู„ุชูˆุงุฒู† ุฃูˆ ู„ู„ู…ุณุชุฎุฏู…ุŒ ุงู„ุชูˆุงุฒู† ู‡ูˆ
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ุนู†ุฏู…ุง ู…ุฌู…ูˆุนุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ุญุฏูŠุฉ ู„ู€ X ุนู„ู‰ ุฃุณุนุงุฑ X ุชุณุงูˆูŠ ู…ุฌู…ูˆุนุฉ
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ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ุญุฏูŠุฉ ู„ู€ Y ุนู„ู‰ ุฃุณุนุงุฑ YุŒ ุฃูˆ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุญุฏูŠุฉ ู„ุฃุฎุฑ
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ุฏูˆู„ุงุฑ ู‚ุถูŠุชู‡ ุนู„ู‰ ุงู„ู…ูŠุฒุฉ X ุชุณุงูˆูŠ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุญุฏูŠุฉ ู„ุฃุฎุฑ
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00:05:18,560 --> 00:05:25,670
ุฏูˆู„ุงุฑ ู‚ุถูŠุชู‡ ุนู„ู‰ Y. ู‡ุฐุง ู‡ูˆ ุงู„ุดุฑุท ุงู„ุฃูˆู„. ุงู„ุฑู‚ู…
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ุงู„ุซุงู†ูŠ ู‡ูˆ
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ุฃู† ุงู„ุดุฑูƒุฉ ุชุณุชุฎุฏู… ูƒู„ ู…ุงู„ู‡ุง ููŠ ุงู„ุดุฑุงุก.
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ู„ุชุดุชุฑูŠ
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ู„ุชุดุชุฑูŠ
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ู„ุชุดุชุฑูŠ
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ู„ุชุดุชุฑูŠ
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ู„ุชุดุชุฑูŠ
49
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ู„ุชุดุชุฑูŠ
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ูŠู‚ู„ ุณุนุฑ X. ุงู„ู…ุฒูŠุฏ ู…ู† ูˆุญุฏุงุช XุŒ ุงู„ู…ุฒูŠุฏ ู…ู† ูˆุญุฏุงุช YุŒ
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ุงู„ู…ุฒูŠุฏ ู…ู† ูˆุญุฏุงุช Y.
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ูŠู…ูƒู†ู†ุง ุฃู† ู†ุฎุชุงุฑ ูƒู… ูŠูุนู„ ุงู„ู†ุงุณ ู…ู† X ุฃูˆ YุŒ ุฃูˆ
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ูƒู…ูŠุฉ ู…ู† X ูˆูƒู…ูŠุฉ ู…ู† Y ุงู„ุชูŠ ุชู‚ูˆู… ุจุฅุนุงุฏุฉ
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ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…. ุชุจุฏุฃ ุงู„ุฅุฌุงุจุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ุณุคุงู„ุŒ ูŠุฌุจ ุฃู†
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ู†ู‚ูˆู… ุจุฑุณู… ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ XุŒ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ Y. MU
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X, MU Y, MU Y, MU X, MU Y, MU Y, MU X, MU Y, MU X
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00:06:42,090 --> 00:06:44,790
MU Y, MU X, MU X, MU X, MU X, MU X, MU X, MU X
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00:06:44,790 --> 00:06:46,630
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
59
00:06:46,630 --> 00:06:49,390
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
60
00:06:49,390 --> 00:06:52,130
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
61
00:06:52,130 --> 00:07:03,610
MU X, MU X, MU X, MU X ู…ุน PY ูˆูƒู…ุง
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00:07:03,610 --> 00:07:10,930
ุชุนู„ู…ูŠู† ุฃู† ู…ุฌู„ุฏ ุงุณุชุฎุฏุงู… XุŒ MU X, MU X, MU X, MU X
63
00:07:10,930 --> 00:07:12,010
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
64
00:07:12,010 --> 00:07:14,330
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
65
00:07:14,330 --> 00:07:15,410
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
66
00:07:15,410 --> 00:07:19,950
MU X, MU X, MU X, MU X, MU X, MU X, MU X, MU X
67
00:07:19,950 --> 00:07:24,330
MU X, MU X, MU X, MU X, MU X, MU X, MU
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X. ุงู„ุชุบูŠูŠุฑ ููŠ ุงุณุชุฎุฏุงู… ู…ุฌู…ูˆุนุฉ YุŒ ฮ”Q of Y. ููŠ
69
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ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ุŒ ู„ุง ูŠูˆุฌุฏ ุชุบูŠูŠุฑ. ุจุนุฏ ุฐู„ูƒ MU XุŒ ฮ”T
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X: 10ุŒ 0ุŒ 10ุŒ 0ุŒ 10 ููŠ
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ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ MU X: 1
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0 ุฃูƒุซุฑ ู…ู† 1ุŒ 0 ุฃูƒุซุฑ ู…ู† 1ุŒ
73
00:07:59,570 --> 00:08:00,350
0 ุฃูƒุซุฑ ู…ู† 1ุŒ 0 ุฃูƒุซุฑ ู…ู† 1ุŒ
74
00:08:00,350 --> 00:08:05,090
0 ุฃูƒุซุฑ ู…ู† 1ุŒ 0 ุฃูƒุซุฑ ู…ู† 1ุŒ
75
00:08:05,090 --> 00:08:08,670
0 ุฃูƒุซุฑ ู…ู† 1ุŒ 0 ุฃูƒุซุฑ ู…ู† 1ุŒ
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00:08:08,670 --> 00:08:17,630
0 ุฃูƒุซุฑ ู…ู† 1ุŒ
77
00:08:17,630 --> 00:08:25,110
0 ุฃูƒุซุฑ ู…ู†
78
00:08:25,110 --> 00:08:36,320
1. 5ุŒ 3ุŒ 5ุŒ
79
00:08:36,320 --> 00:08:38,720
3ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ
80
00:08:38,720 --> 00:08:39,560
5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ
81
00:08:39,560 --> 00:08:40,880
5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ
82
00:08:40,880 --> 00:08:43,640
5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ 5ุŒ
83
00:08:43,640 --> 00:08:54,460
5ุŒ 5ุŒ 5
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ุงู„ู…ุนุฑูุฉ
85
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14ุŒ 8ุŒ 6. yes, then
86
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5ุŒ 4ุŒ 3ุŒ 2ุŒ 1. These are the values of the marginal
87
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utility of X and Y. ู„ู†ู‚ูˆู… ุจุฑุณู… ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ
88
00:09:46,410 --> 00:09:53,230
ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ุฐูŠ ุฃู†ูู‚ุชู‡ ุนู„ู‰ XุŒ ุฃูˆ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ X ุนู„ู‰
89
00:09:53,230 --> 00:09:59,490
PX. ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ X ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ุบูŠุฑ ู…ุนุฑูˆูุŒ ูˆ
90
00:09:59,490 --> 00:10:05,850
ุจุนุฏ ุฐู„ูƒ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ X: 16 ุนู„ู‰ ุฃุณุนุงุฑ X. ุฃุณุนุงุฑ X ู‡ูŠ 2.
91
00:10:05,850 --> 00:10:13,790
ูƒู…ุง ุชุฑูˆู†ุŒ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ MUx = 16/2 = 8.
92
00:10:16,070 --> 00:10:23,630
ู‡ุฐู‡ ู‡ูŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ุŒ ูˆุจุนุฏู‡ุง ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ: 14ุŒ
93
00:10:23,630 --> 00:10:48,710
2ุŒ 7ุŒ 5.5ุŒ 10ุŒ 5ุŒ 9ุŒ 2ุŒ 4.5ุŒ 8ุŒ 2ุŒ 4ุŒ 7ุŒ 2ุŒ 3.5ุŒ 3ุŒ 2.5ุŒ ูˆ 1.5. ู‡ุฐุง
94
00:10:48,710 --> 00:10:53,710
ู‡ูˆ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ุฐูŠ ุฃู†ูู‚ุชู‡ ุนู„ู‰ X.
95
00:10:53,710 --> 00:11:00,550
MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY:
96
00:11:00,550 --> 00:11:09,190
10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ
97
00:11:09,190 --> 00:11:10,630
MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY:
98
00:11:10,630 --> 00:11:10,990
10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ
99
00:11:10,990 --> 00:11:12,010
10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ MUY: 10ุŒ
100
00:11:12,010 --> 00:11:27,750
MUY: 4ุŒ 3ุŒ 2.5ุŒ 2ุŒ 1.5ุŒ 1.5ุŒ 0.5. ุตุญูŠุญุŸ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฌุฑุจ
101
00:11:27,750 --> 00:11:37,770
ุงู„ุดุฑุท ุงู„ุฃูˆู„ ุชุญุช ู‡ุฐู‡ ุงู„ูˆุตูุงุชุŒ ูƒู…ุง
102
00:11:37,770 --> 00:11:46,370
ุฃุดุฑุญู†ุงุŒ ุงู„ุดุฑุท ุงู„ุฃูˆู„ุŒ ู…ุซู„ู‹ุง ุนู†ุฏู…ุง ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ X
103
00:11:46,370 --> 00:11:52,350
ุนู„ู‰ PX ูŠุณุงูˆูŠ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ Y ุนู„ู‰ PY. ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฃุฎุฐ
104
00:11:52,350 --> 00:11:59,590
ุงู„ุฑู‚ู… ุงู„ุฃูˆู„: 8 ููŠ ู‡ุฐุง ุงู„ู‚ุณู…. 8. ู‡ู„ ู‡ู†ุงูƒ ุฃูŠ ุฑู‚ู… ุขุฎุฑ
105
00:11:59,590 --> 00:12:07,670
8 ููŠ ุงุณุชุฎุฏุงู… ุงู„ุญุฏู‘ูŠ ู„ู€ YุŸ ู„ุง. 7 ู„ูŠุณ ู‡ู†ุงูƒ 7. 5.5 ู‡ู„ ู‡ู†ุงูƒ
106
00:12:07,670 --> 00:12:18,290
5ุŸ ู„ุง. 5. ู„ุฃ. 4.5 ู„ุฃ. 4 ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
107
00:12:18,290 --> 00:12:19,110
ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
108
00:12:19,110 --> 00:12:19,330
ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
109
00:12:19,330 --> 00:12:20,930
ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
110
00:12:20,930 --> 00:12:21,090
ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
111
00:12:21,090 --> 00:12:33,070
ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ. ู„ุฃ.
112
00:12:33,070 --> 00:12:34,490
ู„ุฃ
113
00:12:39,060 --> 00:12:45,780
3. ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ
114
00:12:45,780 --> 00:12:45,820
ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ
115
00:12:45,820 --> 00:12:45,880
3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ
116
00:12:45,880 --> 00:12:45,920
3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ
117
00:12:45,920 --> 00:12:46,280
3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ
118
00:12:46,280 --> 00:13:02,640
3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ ูˆ 3ุŒ
119
00:13:02,760 --> 00:13:09,420
ุฃูˆ ููŠ ุฃุฑุจุน ุญุงู„ุงุชุŒ ุตุญูŠุญุŸ ู„ุฐุง ูŠู…ูƒู†ู†ุง ุงู„ู‚ูˆู„ ุฃู†
120
00:13:09,420 --> 00:13:14,240
ุงู„ุดุฑุท ุงู„ุฃูˆู„
121
00:13:14,240 --> 00:13:22,180
ู…ูุณุชูˆูู‰ ุฃูˆ ู…ูุญู‚ู‚ ููŠ ุฃุฑุจุน ุญุงู„ุงุช. ุงู„ุดุฑุท ุงู„ุฃูˆู„
122
00:13:22,180 --> 00:13:25,420
ุงู„ู€
123
00:13:25,420 --> 00:13:31,320
ุดุฑุท ุงู„ุฃูˆู„
124
00:13:31,320 --> 00:13:31,800
ู…ูุณุชูˆูู‰
125
00:13:34,470 --> 00:13:43,870
ููŠ 4 ุญุงู„ุงุช. 4ุŒ
126
00:13:43,870 --> 00:13:58,370
3ุŒ 4ุŒ 3ุŒ 2.5ุŒ ูˆ 1.5. ู‡ุฐู‡
127
00:13:58,370 --> 00:14:04,470
4 ุญุงู„ุงุช ุงุณุชูˆูุช ุงู„ุดุฑุท ุงู„ุฃูˆู„. ู…ุงุฐุง ุนู† ุงู„ุดุฑุท
128
00:14:04,470 --> 00:14:16,950
ุงู„ุซุงู†ูŠุŸ ู„ุฐู„ูƒ ูŠุฌุจ ุฃู† ู†ุฌุฑุจ ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ. ุงู„ุดุฑุท
129
00:14:16,950 --> 00:14:25,030
ุงู„ุซุงู†ูŠ ูƒู…ุง ุฐูƒุฑู†ุงุŒ ุนู†ุฏู…ุง ูŠูƒูˆู† I ู…ุฑุชูุน
130
00:14:25,030 --> 00:14:35,330
ุจู‚ูŠุฉ X ู…ุน QXุŒ ูˆ PY ู…ุน QY. ู‡ุฐุง ู‡ูˆ ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ. ู„ุฐู„ูƒ
131
00:14:35,330 --> 00:14:40,630
ุฏุนูˆู†ุง ู†ุฃุฎุฐ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ุŒ ุนู†ุฏู…ุง ุฃูˆ ุนู†ุฏ 4ุŒ ุนู†ุฏู…ุง
132
00:14:40,630 --> 00:14:44,150
ู…ุฌู…ูˆุน ุงู„ุฃุณุนุงุฑ ู…ู† ุงู„ุฏูˆู„ุงุฑ ุงู„ุฃูˆู„ ุงู„ุฐูŠ ุฃู†ูู‚ุชู‡ ุนู„ู‰ X
133
00:14:44,150 --> 00:14:51,950
ูˆY ูŠูƒูˆู† 4ุŒ ุนู†ุฏ 4 I.
134
00:14:51,950 --> 00:14:54,610
I ูƒู… ู‡ูˆ IุŸ 20.
135
00:14:57,560 --> 00:15:08,760
ูŠุฌุจ ุฃู† ุชูƒูˆู† ู‚ูŠู…ุฉ X 2 ุถุฑุจ ูƒู…ูŠุฉ X ููŠ 4. ููŠ 4ุŒ ูƒู…ุง
136
00:15:08,760 --> 00:15:19,220
ุชุฑู‰ุŒ ู‡ุฐุง ู…ุฑุชุจุท ุจู€ X ููŠ 4. ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ
137
00:15:19,220 --> 00:15:21,020
6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6.
138
00:15:21,020 --> 00:15:22,380
ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6.
139
00:15:22,380 --> 00:15:23,260
ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6.
140
00:15:23,260 --> 00:15:23,460
ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6.
141
00:15:23,460 --> 00:15:27,070
ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ุถุฑุจ ูƒู…ูŠุฉ X ู‡ูŠ 6. ู…ุน
142
00:15:27,070 --> 00:15:34,210
ูƒู…ูŠุฉ Y ููŠ 4ุŒ ู…ุฑุชุจุทุฉ ุจู€ Y. ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ู…ุฑุชุจุทุฉ ุจู€ Y.
143
00:15:34,210 --> 00:15:42,590
ู„ุฐู„ูƒ ููŠ 4ุŒ ูƒู…ูŠุฉ Y ู‡ูŠ 4.
144
00:15:42,590 --> 00:15:49,290
ู„ุฐู„ูƒ 20 ูŠุฌุจ ุฃู† ูŠุณุงูˆูŠ 12 + 8.
145
00:15:52,150 --> 00:15:57,390
ูˆุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ูˆุฌูˆุฏุฉุŒ ุฃูˆ ู†ุญู† ู†ุญุตู„ ุนู„ู‰ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
146
00:15:57,390 --> 00:16:03,390
...ุงู„ุซุงู†ูŠุฉ ููŠ ุงู„ู€ 4. ู„ุฐู„ูƒ ูŠุฌุจ ุนู„ูŠู†ุง ุฃู† ู†ุฏุนูŠ
147
00:16:03,390 --> 00:16:10,170
ู„ู„ู…ุณุชุฎุฏู… ุฃู† ูŠุดุชุฑูŠ 6 ูˆุญุฏุงุช ู…ู† X ูˆ 4 ูˆุญุฏุงุช ู…ู†
148
00:16:10,170 --> 00:16:15,330
Y. ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ุฅุฐุง ูƒู†ุง ู†ู‚ูˆู… ุจุชุฌุงุฑุจ ู„ุญุงู„ุงุช ุฃุฎุฑู‰ุŒ
149
00:16:17,780 --> 00:16:24,120
ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ ู„ู† ูŠูุณุชูˆูู‰ุŒ ุตุญูŠุญุŸ ุฏุนูˆู†ุง
150
00:16:24,120 --> 00:16:34,020
ู†ู‚ูˆู… ุจุชุฌุงุฑุจ ู„ู„ู‚ูŠู… ุงู„ุฃุฎุฑู‰ุŒ ููŠ 3: 20
151
00:16:34,020 --> 00:16:42,300
ูŠุฌุจ ุฃู† ูŠุณุงูˆูŠ ู‚ูŠู…ุฉ XุŒ ู…ุฑุชุจุทุฉ ุจู‚ูŠู…ุฉ 4X ููŠ 3ุŒ
152
00:16:48,570 --> 00:16:53,910
ุฒุงุฆุฏ 2ุŒ ุณุนุฑ Y ุถุฑุจ ูƒู…ูŠุฉ Y ููŠ
153
00:16:53,910 --> 00:17:03,590
3. 5. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ 20 ูŠุฌุจ ุฃู† ูŠุณุงูˆูŠ 16
154
00:17:03,590 --> 00:17:09,950
ุฒุงุฆุฏ 10. ู†ุนู….
155
00:17:09,950 --> 00:17:15,300
ู„ู… ูŠุชุญู‚ู‚. ู„ุฐู„ูƒ ุงู„ุดุฑุท ุงู„ุฃูˆู„ ุฃูˆ ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ
156
00:17:15,300 --> 00:17:22,420
ู„ู… ูŠูุณุชูˆูู‰ ุฃูˆ ู„ู… ูŠูุณุชูˆูู‰ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ูˆููŠ ุงู„ุญุงู„ุงุช
157
00:17:22,420 --> 00:17:28,120
ุงู„ุฃุฎุฑู‰ุŒ ู„ู… ูŠูุณุชูˆูู‰ ุฃูŠุถู‹ุง. ู„ุฐู„ูƒ ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ ุณูŠูƒูˆู†
158
00:17:28,120 --> 00:17:35,120
ู…ูุณุชูˆูู‰ ูู‚ุท ููŠ ุญุงู„ุฉ ูˆุงุญุฏุฉุŒ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰. ุฅุฐุง ู‚ู…ู†ุง
159
00:17:35,120 --> 00:17:43,020
ุจุชุฌุงุฑุจ ู„ู„ุญุงู„ุงุช ุงู„ุฃุฎุฑู‰ ุงู„ุชูŠ ุญุตู„ุช ุนู„ูŠู‡ุง ููŠ ุงู„ุดุฑุท ุงู„ุฃูˆู„ุŒ ู†ุญู†
160
00:17:43,020 --> 00:17:54,400
ู„ู† ู†ุตู„ ุฅู„ู‰ ุงู„ุชูˆุงุฒู†. ู„ุฐู„ูƒ ููŠ 2.5: 20
161
00:17:54,400 --> 00:18:06,700
ูŠุฌุจ ุฃู† ูŠุณุงูˆูŠ 2 ุถุฑุจ ูƒู…ูŠุฉ X ููŠ 2.5: 9ุŒ 2
162
00:18:06,700 --> 00:18:10,380
ุถุฑุจ ูƒู…ูŠุฉ
163
00:18:17,410 --> 00:18:24,450
20 ูŠุฌุจ ุฃู† ูŠุณุงูˆูŠ 20 ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู†
164
00:18:24,450 --> 00:18:26,390
10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู†
165
00:18:26,390 --> 00:18:27,950
10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู†
166
00:18:27,950 --> 00:18:28,270
10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู† 10ุŒ ุฃูƒุซุฑ ู…ู†
167
00:18:28,270 --> 00:18:33,230
10ุŒ ุฃูƒุซุฑ ู…ู†
223
00:23:51,160 --> 00:23:57,440
ุงู„ุชุทุจูŠู‚ุงุช
224
00:24:02,680 --> 00:24:07,940
ุงู„ุชุทุจูŠู‚ ุงู„ุงุณุชุซู†ุงุฆูŠ ู„ู„ุชุทุจูŠู‚ X
225
00:24:07,940 --> 00:24:16,260
ุจุงุณุชุฎุฏุงู…
226
00:24:16,260 --> 00:24:17,340
ุฃุณุงุณูŠุฉ ุงู„ู€ midpoint
227
00:24:34,380 --> 00:24:46,020
ู‡ุฐุง ู‡ูˆ I1ุŒ I2ุŒ Q1ุŒ QX1ุŒ QX2ุŒ ู„ุฐู„ูƒ ุงู„ูุฑุตุฉ ุงู„ุฃุณุงุณูŠุฉ
228
00:24:46,020 --> 00:24:50,540
ู„ุชุฎุทูŠุท ุงู„ู…ูŠุฒุงู†ูŠุฉ
229
00:24:56,140 --> 00:25:02,600
ุฏู„ุชุง ูƒูŠูˆ ุงูƒุณ ุฃูˆ ุฏู„ุชุง ุงูŠู‡
230
00:25:02,600 --> 00:25:06,820
(No changes needed)
231
00:25:06,820 --> 00:25:14,200
(No changes needed)
232
00:25:14,200 --> 00:25:17,280
(No changes needed)
233
00:25:24,720 --> 00:25:32,280
Times summation of income I2 plus I1 over QX2 plus
234
00:25:32,280 --> 00:25:37,800
QX1. So
235
00:25:37,800 --> 00:25:44,120
EI equals 8
236
00:25:44,120 --> 00:25:51,500
minus 6 over I2
237
00:25:51,500 --> 00:25:53,220
26 minus 20
238
00:25:57,360 --> 00:25:59,940
(No changes needed)
239
00:25:59,940 --> 00:26:01,580
(No changes needed)
240
00:26:01,580 --> 00:26:03,660
(No changes needed)
241
00:26:03,660 --> 00:26:06,320
(No changes needed)
242
00:26:06,320 --> 00:26:08,280
(No changes needed)
243
00:26:08,280 --> 00:26:12,060
(No changes needed)
244
00:26:12,060 --> 00:26:18,220
(No changes needed)
245
00:26:18,220 --> 00:26:19,260
(No changes needed)
246
00:26:19,260 --> 00:26:22,720
(No changes needed)
247
00:26:25,940 --> 00:26:28,940
ุฃุฑุจุนุฉ ูˆ
248
00:26:28,940 --> 00:26:31,040
ุฃุฑุจุนุฉ ูˆ
249
00:26:31,040 --> 00:26:33,960
ุฃุฑุจุนุฉ ูˆ
250
00:26:33,960 --> 00:26:38,140
ุฃุฑุจุนุฉ ูˆ
251
00:26:38,140 --> 00:26:40,520
ุฃุฑุจุนุฉ ูˆ
252
00:26:40,520 --> 00:26:41,360
ุฃุฑุจุนุฉ ูˆ
253
00:26:41,360 --> 00:26:44,900
ุฃุฑุจุนุฉ ูˆ
254
00:26:44,900 --> 00:26:44,920
ุฃุฑุจุนุฉ ูˆ
255
00:26:44,920 --> 00:26:44,980
ุฃุฑุจุนุฉ ูˆ
256
00:26:44,980 --> 00:26:48,920
ุฃุฑุจุนุฉ
257
00:26:48,920 --> 00:26:57,710
ูˆ ุฃุฑุจุนุฉุŒ ุฃูŠู‚ู„ ู„ู€ positive oneุŒ ู‡ุฐุง ูŠุนู†ูŠ ุฃู† ุนู†ุฏู…ุง
258
00:26:57,710 --> 00:27:03,410
ูŠุฒุฏุงุฏ ุงู„ู…ูŠุฒุฉ ู…ู† 20 ุฅู„ู‰ 26ุŒ ุงู„ู…ูŠุฒุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู† X
259
00:27:03,410 --> 00:27:11,510
ูŠุฒุฏุงุฏ ู…ู† 6 ุฅู„ู‰ 8. ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู…ูŠุฒุฉ ุทุจูŠุนูŠุฉ ุฃูˆ
260
00:27:11,510 --> 00:27:15,730
ุงู„ุฌูˆุฏุฉ ุทุจูŠุนูŠุฉุŒ ูˆุงู„ู…ุทุงู„ุจุฉ
261
00:27:15,730 --> 00:27:21,840
ู…ุฑุชุจุทุฉุŒ ุฅู†ู‡ุง ู‚ุฑูŠุจุฉ ู…ู† ู…ุฑุชุจุทุฉ ู…ุฌู…ูˆุนุฉุŒ ุตุญุŸ ุญุณู†ู‹ุงุŒ ูุฅู†
262
00:27:21,840 --> 00:27:29,980
ุงู„ู…ุฌุชู…ุน ูŠุฏูุน ุฅู„ู‰ ุงู„ู€20ุŒ ูู‡ู†ุงูƒ ุฃุณุฆู„ุฉ ุฃุฎุฑู‰ุŒ ูุฅู†
263
00:27:29,980 --> 00:27:38,400
ุงู„ู…ุฌุชู…ุน ูŠุจู‚ู‰
264
00:27:38,400 --> 00:27:42,940
ู…ุณุชู…ุฑู‹ุง ููŠ ุงู„ู€20ุŒ
265
00:27:42,940 --> 00:27:48,800
ูˆู‚ูŠู… X ูŠุชุฎู„ุต ุฅู„ู‰ 1.
266
00:27:54,100 --> 00:28:01,960
ุงู„ุณุคุงู„ ู‡ูˆ ุงุนุชุจุงุฑ ุฃู†
267
00:28:01,960 --> 00:28:12,260
ุงู„ู…ุงู„ ุงู„ู…ุณุชุฎุฏู… ู‡ูˆ 20ุŒ ูŠุจู‚ู‰ ู…ุณุชู…ุฑู‹ุงุŒ I ูŠู‚ู„ 20 ุณุนุฑ X
268
00:28:12,260 --> 00:28:20,870
ูŠุชุฎู„ุต ู…ู† 1ุŒ ูˆุณุนุฑ Y ูŠุชุฎู„ุต ู…ู† 1ุŒ ุชุจู‚ู‰ ู…ุณุชู…ุฑู‹ุง ููŠ 2.
269
00:28:20,870 --> 00:28:28,350
ุชุฎุทูŠุท ู…ุฌู…ูˆุนุงุช X ูˆY ุฌุฏูŠุฏุฉุŒ ุงู„ู‡ูŠุฆุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุฎุทูŠุท
270
00:28:28,350 --> 00:28:29,630
(Repeated text - No changes needed)
271
00:28:29,630 --> 00:28:29,870
(Repeated text - No changes needed)
272
00:28:29,870 --> 00:28:35,870
(Repeated text - No changes needed)
273
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
274
00:28:41,820 --> 00:28:49,840
ุฃุฎุฑู‰ ู„ู€Mux ุจู‚ูŠุฉ PxุŒ ูˆู„ูƒู† My ุจู‚ูŠุฉ Py ู…ุณุชู…ุฑุŒ ุตุญุŸ
275
00:28:49,840 --> 00:28:58,120
ู„ุฐู„ูƒุŒ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุชุบูŠูŠุฑ ู„ู€
276
00:28:58,120 --> 00:29:00,520
Marginal Utility of X ุจู‚ูŠุฉ Px
277
00:29:11,180 --> 00:29:15,240
ูˆ ุฃู‚ูˆู… ุจุชุฌุงุฑุจ ุฃูˆู„ ุญุงู„ุฉ ูˆ ุขุฎุฑ ุญุงู„ุฉ
278
00:29:23,620 --> 00:29:31,500
ุงู„ุณุคุงู„ ู‡ูˆ ุฅุฐุง ู‚ูŠู…ุฉ X ุชุชุฎู„ุต ู…ู† 1ุŒ ูู‚ูŠู…ุฉ Y ุชุจู‚ู‰
279
00:29:31,500 --> 00:29:35,500
ู…ุณุชู…ุฑุฉุŒ ูˆู‚ูŠู…ุฉ Y ุชุจู‚ู‰ ู…ุณุชู…ุฑุฉ ุฃูŠุถู‹ุงุŒ ู„ุฐู„ูƒ ุชุฎู„ุต
280
00:29:35,500 --> 00:29:38,080
(Repeated text - No changes needed)
281
00:29:38,080 --> 00:29:38,440
(Repeated text - No changes needed)
282
00:29:38,440 --> 00:29:38,540
(Repeated text - No changes needed)
283
00:29:38,540 --> 00:29:38,840
(Repeated text - No changes needed)
284
00:29:38,840 --> 00:29:39,980
(Repeated text - No changes needed)
285
00:29:39,980 --> 00:29:48,280
(Repeated text - No changes needed)
286
00:29:48,280 --> 00:29:54,470
(Repeated text - No changes needed)
287
00:29:54,470 --> 00:29:59,770
(No changes needed)
288
00:29:59,770 --> 00:30:01,810
(No changes needed)
289
00:30:04,880 --> 00:30:09,220
ู„ุฐู„ูƒ ูƒู…ุง ุชุฑู‰ ู„ุฏูŠู†ุง ู‚ูŠู…ุฉ ุฌุฏูŠุฏุฉ ู„ุงุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ X
290
00:30:09,220 --> 00:30:18,100
ุนู„ู‰ PXุŒ ูˆู…ู‚ุงุฑู†ุฉ ู†ูุณู‡ุง ู„ู€MUY ุนู„ู‰ PYุŒ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุฌุฑุจ
291
00:30:18,100 --> 00:30:21,880
ุงู„ูˆุถุน ุงู„ุฃูˆู„ ุงู„ุฐูŠ ูŠุณู…ู‰ MUX ุนู„ู‰ PX
292
00:30:25,270 --> 00:30:29,630
(No changes needed)
293
00:30:29,630 --> 00:30:33,930
(No changes needed)
294
00:30:33,930 --> 00:30:34,790
(No changes needed)
295
00:30:34,790 --> 00:30:45,790
(No changes needed)
296
00:30:55,490 --> 00:31:04,550
ููŠ ู‡ุฐู‡ ุงู„ู‚ุณู…ุฉุŒ ู‡ุฐุง ุณุชุฉ ูˆ ุณุชุฉ ุฎู…ุณุฉ
297
00:31:04,550 --> 00:31:13,070
ู„ุง ูŠูˆุฌุฏ ุฎู…ุณุฉุŒ ุซู„ุงุซุฉ ูˆ ุซู„ุงุซุฉุŒ ุฃูˆู„
298
00:31:13,070 --> 00:31:21,750
ุญุงู„ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงุซู†ูŠู† ุญุงู„ุงุชุŒ ุงุซู†ูŠู†ุŒ ุฃูˆู„ ุญุงู„ุฉ
299
00:31:29,230 --> 00:31:40,610
condition is met at two casesุŒ ุงู„ู„ูŠ ู‡ู… six and
300
00:31:40,610 --> 00:31:49,290
three plus py times ky at
301
00:31:49,290 --> 00:31:49,730
six
302
00:31:55,580 --> 00:32:03,900
ุงู„ุนุงู…ุฉ ุงู„ุณูŠุงุณูŠุฉ ู‡ูˆ 20ุŒ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุฃุณุนุงุฑ X ูƒู…ุŸ 1
303
00:32:03,900 --> 00:32:08,900
(No changes needed)
304
00:32:08,900 --> 00:32:09,060
(No changes needed)
305
00:32:09,060 --> 00:32:09,560
(No changes needed)
306
00:32:09,560 --> 00:32:12,260
(No changes needed)
307
00:32:12,260 --> 00:32:12,880
(No changes needed)
308
00:32:12,880 --> 00:32:13,440
(No changes needed)
309
00:32:13,440 --> 00:32:14,860
(No changes needed)
310
00:32:14,860 --> 00:32:15,900
(No changes needed)
311
00:32:15,900 --> 00:32:15,920
(No changes needed)
312
00:32:15,920 --> 00:32:19,240
(No changes needed)
313
00:32:19,240 --> 00:32:19,780
(No changes needed)
314
00:32:23,960 --> 00:32:28,320
ู…ุน ูƒู…ุŸ ุซู„ุงุซุฉ ุนุดุงู†
315
00:32:28,320 --> 00:32:34,160
(No changes needed)
316
00:32:34,160 --> 00:32:37,880
(No changes needed)
317
00:32:37,880 --> 00:32:38,280
(No changes needed)
318
00:32:38,280 --> 00:32:38,500
(No changes needed)
319
00:32:38,500 --> 00:32:46,540
(No changes needed)
320
00:32:46,540 --> 00:32:51,460
ุนุดุงู† ุซู„ุงุซุฉ
321
00:32:55,940 --> 00:33:01,380
ุงู„ุนุดุฑุฉ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูˆุงุญุฏ
322
00:33:01,380 --> 00:33:09,880
ู…ุฑุฉุŒ ูƒู… ูŠูƒูˆู† ู‚ูŠู…ุฉ ุงู„ูˆุงุญุฏุฉ X ุฃูˆ ุงู„ูˆุงุญุฏุฉ X 10 ู…ุฑุฉ
323
00:33:09,880 --> 00:33:24,020
ูƒู…ุŸ 2 ู…ุฑุฉุŒ ูƒู…ุŸ 3.5 ู…ุฑุฉ
324
00:33:24,020 --> 00:33:24,120
(No changes needed)
325
00:33:24,120 --> 00:33:24,140
(No changes needed)
326
00:33:24,140 --> 00:33:24,400
(No changes needed)
327
00:33:24,400 --> 00:33:28,340
(No changes needed)
328
00:33:28,340 --> 00:33:30,460
(No changes needed)
329
00:33:30,460 --> 00:33:43,420
(No changes needed)
330
00:33:43,420 --> 00:33:48,700
ุซุงู†ูŠุฉุŒ ูˆู‡ูˆ ู…ุง ูŠู‚ูˆู… ุจุฅุนุงุฏุฉ ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„.
331
00:33:49,360 --> 00:33:55,580
ู„ุฐู„ูƒุŒ ุฅุฐุง ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุดุชุฑูŠ 10 ูˆุญุฏุฉ ู…ู† X
332
00:33:55,580 --> 00:34:03,820
ูˆ5 ูˆุญุฏุฉ ู…ู† YุŒ ูู‡ุฐู‡ ุงู„ู‚ูˆุงู†ูŠู† ุณุชุญุตู„
333
00:34:03,820 --> 00:34:06,700
ุนู„ู‰ ุงุชุฒุงู† ุฃูˆ ุฅุนุงุฏุฉ ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„.
334
00:34:14,990 --> 00:34:22,430
ุงู„ุณุคุงู„ ู‡ูˆ ุชุฎุทูŠุท ุฃุณุนุงุฑ ุงู„ู…ุฑูˆู†ุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ
335
00:34:22,430 --> 00:34:29,290
product X. ู„ุฏูŠู†ุง ุณุคุงู„ ุขุฎุฑ ูŠุณู…ู‰ ุชุฎุทูŠุท ุฃุณุนุงุฑ
336
00:34:29,290 --> 00:34:31,190
ุงู„ู…ุฑูˆู†ุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ product X ุนู†ุฏู…ุง ุชุฎุทูŠุท
337
00:34:31,190 --> 00:34:38,210
ุฃุณุนุงุฑ XุŒ ุชุฎุทูŠุท ุฃุณุนุงุฑ ุงู„ู…ุฑูˆู†ุฉ ุงู„ู…ุทุงู„ุจุฉ ู„ุดุฑูƒุฉ
338
00:34:38,210 --> 00:34:39,930
product X. ุชุฎุทูŠุท
339
00:34:45,430 --> 00:34:51,610
ุจุณูŠุทุฉ ุงู„ุณุนุฑ ู„ู„ุชุทุจูŠู‚ X ู„ุชุญุณูŠู†
340
00:34:51,610 --> 00:34:56,870
ุงู„ุณุนุฑ ุจุงุณุชุฎุฏุงู… ุฃุณุงุณูŠุฉ ุงู„ู€ midpoint. ุฏุนูˆู†ุง
341
00:34:56,870 --> 00:35:03,310
ู†ูƒุชุจ ุฃูˆ ู†ูƒุชุจ ู‡ุฐุง
342
00:35:03,310 --> 00:35:14,230
ู‡ูˆ ุณุนุฑ XุŒ ูƒู…ูŠุฉ ู…ุทุงู„ุจุฉ ู…ู† X ููŠ ุงู„ุณุนุฑ 2. ุนู†ุฏู…ุง ู‚ูŠู…ุฉ X
343
00:35:14,230 --> 00:35:25,350
ูƒุงู†ุช 2ุŒ ูƒู… ูุนู„ุงู‹ุŒ ูุฅู† ู‚ูŠู…ุฉ X ูƒุงู†ุช 6. ุนู†ุฏู…ุง
344
00:35:25,350 --> 00:35:32,590
ู‚ูŠู…ุฉ X ูƒุงู†ุช 1ุŒ ุนู†ุฏู…ุง ู‚ูŠู…ุฉ X ุชุชุฎู„ุต ุฅู„ู‰ 1ุŒ ูƒู…ุง ุชุฑู‰ ู‡ู†ุง
345
00:35:32,590 --> 00:35:35,910
ู‚ูŠู…ุฉ X ู‡ูŠ 10.
346
00:35:40,340 --> 00:35:48,980
ู…ุน ุงุณุชุฎุฏุงู… ุฃุณุงุณูŠุฉ ุงู„ุฃุณุนุงุฑ ู„ู„ุชุทุจูŠู‚ XุŒ ุจุงุณุชุฎุฏุงู…
347
00:35:48,980 --> 00:35:49,880
(Repeated text - No changes needed)
348
00:35:49,880 --> 00:35:57,420
(Repeated text - No changes needed)
349
00:36:02,510 --> 00:36:08,890
ู‚ูŠู…ุฉ ุฏู„ุชุง ูƒูŠูˆ ุงูƒุณ ุฃูˆ ุฏู„ุชุง ุจูŠ ุงูƒุณ
350
00:36:08,890 --> 00:36:08,910
(Repeated text - No changes needed)
351
00:36:08,910 --> 00:36:10,830
(Repeated text - No changes needed)
352
00:36:10,830 --> 00:36:11,030
(Repeated text - No changes needed)
353
00:36:11,030 --> 00:36:12,210
(Repeated text - No changes needed)
354
00:36:12,210 --> 00:36:21,510
(Repeated text - No changes needed)
355
00:36:21,510 --> 00:36:31,870
(Repeated text - No changes needed)
356
00:36:31,870 --> 00:36:44,640
ุฃูˆ DQ 10-6 / 1-2 = 3 / 16
357
00:36:44,640 --> 00:36:52,540
UD 4 /1 =3/ 16
358
00:37:19,270 --> 00:37:21,710
ุฃู…ุณุญ ู‡ุฐุงุŸ
359
00:37:24,830 --> 00:37:32,350
ุฃุฑุณู… ุงู„ู€ demand curve for the product X
360
00:37:32,350 --> 00:37:43,670
(Repeated text - No changes needed)
361
00:37:43,670 --> 00:37:48,530
ูƒู…ุง ุชุฑู‰ุŒ ู„ุฏูŠู†ุง 2 ู†ู‚ุทุฉ ู…ู† XุŒ ู„ู‚ูŠู… X ูˆู…ู‚ุฏุงุฑ X
362
00:37:52,050 --> 00:38:03,510
ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ XุŒ ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู† XุŒ ุงู„ู‚ูŠู…ุฉ 1ุŒ 2ุŒ 3
363
00:38:03,510 --> 00:38:16,670
ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ 2ุŒ 4ุŒ 6ุŒ 8ุŒ 10ุŒ 12. ููŠ ุงู„ู‚ูŠู…ุฉ 1 ุฃูˆ ุงู„ู‚ูŠู…ุฉ
364
00:38:16,670 --> 00:38:19,850
2ุŒ ูƒู…ูŠุฉ ุงู„ู…ุทุงู„ุจุฉ ู…ู†ู‡ุง 6
365
00:38:25,900 --> 00:38:31,560
ู…ุซู„ู‹ุงุŒ ุฅุฐุง ูƒุงู†ุช ู†ู‚ุทุฉ A ููŠ ุงู„ุฃุณุนุงุฑ 1ุŒ ุงู„ูƒู…ูŠุฉ ูƒุงู†ุช
366
00:38:31,560 --> 00:38:38,800
10ุŒ ููŠ ุงู„ุฃุณุนุงุฑ 2... ุขุณู... 1ุŒ ุงู„ูƒู…ูŠุฉ ูƒุงู†ุช
367
00:38:38,800 --> 00:38:43,520
10. ู…ุซู„ู‹ุงุŒ ุฅุฐุง ูƒุงู†ุช ู†ู‚ุทุฉ EุŒ ุฅุฐุง ู‚ู…ู†ุง ุจุชูˆุตูŠู„ ู‡ุฐู‡
368
00:38:43,520 --> 00:38:48,160
ุงู„ู†ู‚ุทุฉ ู…ุน ุจุนุถู‡ุงุŒ ุณู†ุตู„ ุฅู„ู‰ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉุŒ ู‡ุฐู‡ ู‡ูŠ
369
00:38:48,160 --> 00:38:53,120
ุงู„ุทุฑูŠู‚ุฉ ู„ู„ู…ู†ุชุฌ XุŒ ุตุญูŠุญุŸ ู„ุฏูŠ ุณุคุงู„ ุขุฎุฑ
370
00:38:57,140 --> 00:39:06,740
ุนู†ุฏู…ุง ู†ุฑู‰ ุฃู† ุงู„ุณุนุฑ ูŠุฒุงู„
371
00:39:06,740 --> 00:39:07,560
(Repeated text - No changes needed)
372
00:39:07,560 --> 00:39:08,120
(Repeated text - No changes needed)
373
00:39:08,120 --> 00:39:08,900
(Repeated text - No changes needed)
374
00:39:08,900 --> 00:39:09,200
(Repeated text - No changes needed)
375
00:39:09,200 --> 00:39:10,700
(Repeated text - No changes needed)
376
00:39:10,700 --> 00:39:11,300
(Repeated text - No changes needed)
377
00:39:11,300 --> 00:39:17,240
(Repeated text - No changes needed)
378
00:39:17,240 --> 00:39:18,700
(No changes needed)
379
00:39:21,080 --> 00:39:26,600
ู…ู…ุชุงุฒ. ุญุณู†ู‹ุงุŒ ู„ุฐู„ูƒ ูƒู…ุง ุฐูƒุฑู†ุง ุฃูˆ ูƒู…ุง ุฑุฃูŠู†ุง ุฃู† ุนู†ุฏู…ุง
380
00:39:26,600 --> 00:39:30,160
ูŠูƒูˆู† ุงู„ุชุทุจูŠู‚ ุบูŠุฑ ู…ุฑุชุจุทุŒ ูุณูŠูƒูˆู† ุงู„ุฅุณุชู‡ู„ุงูƒ ุฃูƒุซุฑ ู…ู†
381
00:39:30,160 --> 00:39:32,960
ุงู„ู…ุฌุงู„ ุงู„ุชุฌุงุฑูŠุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ ูˆู…ุงุฐุง ุนู† ุงู„ุชุฌุงุฑุฉ
382
00:39:32,960 --> 00:39:40,240
ุงู„ุชู‚ู„ูŠุฏูŠุฉุŸ ู‡ู„ ุณุชุฒุฏุงุฏ ุฃูˆ ุชุชู‚ู„ุตุŸ ุชุฒุฏุงุฏ
383
00:39:40,240 --> 00:39:45,560
ุงู„ุณุนุฑ ู…ู† 2 ุฅู„ู‰ 1ุŒ ุงู„ุชุฌุงุฑุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุณุชุชู‚ู„ุตุŒ
384
00:39:45,560 --> 00:39:49,180
ู…ู…ุชุงุฒุŒ ู„ุฃู† ุงู„ุชุทุจูŠู‚ ุบูŠุฑ ู…ุฑุชุจุทุŒ
385
00:39:51,840 --> 00:39:57,880
ูƒู…ุง ุชุฑู‰ุŒ ุฅุฐุง ุญุงูˆู„ู†ุง ุชุฎุทูŠุท ุงู„ู€ Total RevenueุŒ ู‡ุฐุง ู‡ูˆ
386
00:39:57,880 --> 00:40:03,020
ุงู„ู€ Total Revenue ููŠ
387
00:40:03,020 --> 00:40:11,880
ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุณุนุฑ ู…ุฑุฉ ร— ูƒู…ูŠุฉ 12 ร— 10 = 10. ููƒู…ุง ุชุฑู‰
388
00:40:11,880 --> 00:40:15,960
ุนู†ุฏู…ุง ูŠุชุบูŠุฑ ุงู„ุณุนุฑ ู…ู† 2 ุฅู„ู‰ 1ุŒ ุงู„ู€ Total Revenue
389
00:40:15,960 --> 00:40:20,360
ูŠุชุบูŠุฑ ู„ุฃู† ุงู„ู…ุทุงู„ุจุฉ ุบูŠุฑ ู…ุฑุชุจุทุฉุŒ ุตุญูŠุญุŸ
390
00:40:28,510 --> 00:40:32,350
calculate or draw the demand curve for the product
391
00:40:32,350 --> 00:40:37,610
YุŒ not X. here now we are talking about the product
392
00:40:37,610 --> 00:40:41,950
Y. calculate or draw the demand curve for the
393
00:40:41,950 --> 00:40:47,250
product Y, not X. draw the demand curve for the
394
00:40:47,250 --> 00:40:52,890
product Y. draw
395
00:40:58,550 --> 00:41:11,730
ุงู„ู…ุทุงู„ุจุฉ ูŠุชุนุงู…ู„ ู…ุน ู…ุฌู…ูˆุนุฉ YุŒ ูƒู…ุง
396
00:41:11,730 --> 00:41:18,610
ุชุนู„ู… ุฃู† ู‚ูŠู…ุฉ Y ู„ู† ุชุชุบูŠุฑุŒ ู„ุฐุง ู‡ุฐุง ู‡ูˆ
397
00:41:18,610 --> 00:41:21,970
ู‚ูŠู…ุฉ Y ูˆู…ุฌู…ูˆุนุฉ YุŒ ูˆุฏุนูˆู†ุง ู†ุจุฏุฃ ู…ู† ู‡ู†ุง
398
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
399
00:41:35,820 --> 00:41:47,860
ุงู„ุฃูˆู„ู‰ุŒ ู‚ูŠู…ุฉ Y ูƒุงู†ุช 2ุŒ ูƒู… ู‚ูŠู…ุฉ ุงู„ู…ุทุงู„ุจุฉ Y ูƒุงู†ุช 4ุŒ ุซู…
400
00:41:47,860 --> 00:41:54,580
ู‚ูŠู…ุฉ Y ู„ู… ุชุชุบูŠุฑุŒ 2ุŒ ู‚ูŠู…ุฉ ุงู„ู…ุทุงู„ุจุฉ ุชุบูŠุฑุช
401
00:41:54,580 --> 00:41:55,200
ุฅู„ู‰ 5.
402
00:41:59,990 --> 00:42:07,930
ู„ุฐุง ุฏุนูˆู†ุง ู†ุฑุณู… ู…ู†ุญู†ู‰ ุงู„ุทู„ุจ YุŒ ู‚ูŠู…ุฉ
403
00:42:07,930 --> 00:42:24,770
1ุŒ 2ุŒ 3ุŒ ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ YุŒ ู‚ูŠู…ุฉ ุงู„ุทู„ุจ YุŒ 1ุŒ 2ุŒ 3ุŒ 4ุŒ 5ุŒ 6. ุฅุถุงูุฉ
404
00:42:24,770 --> 00:42:31,500
ู‚ูŠู…ุฉ 2. ุงู„ุฃูˆู„ุŒ ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ
405
00:42:31,500 --> 00:42:42,600
ุทู„ุจุช Y ูƒุงู†ุช 4. AุŒ BุŒ ููŠ ุงู„ุญุงู„ุฉ 2ุŒ
406
00:42:42,600 --> 00:42:48,560
ุงู„ูƒู…ูŠุฉ ุงู„ุชูŠ ุทู„ุจุช Y ูƒุงู†ุช 5.
407
00:42:48,560 --> 00:42:53,600
(Repeated text - No changes needed)
408
00:42:53,600 --> 00:42:55,500
(Repeated text - No changes needed)
409
00:42:58,110 --> 00:43:02,190
ู„ูˆ ูƒุงู† ุงู„ุณุนุฑ ูŠุจู‚ู‰
410
00:43:02,190 --> 00:43:08,130
ู…ุณุชู…ุฑู‹ุงุŒ ูุงู„ู‚ูˆุฉ ุณุชุทู„ุจ ุชุบูŠูŠุฑู‹ุง ูƒุจูŠุฑู‹ุง.
411
00:43:11,130 --> 00:43:15,590
ู…ู† ุณูŠูƒูˆู† ุฃูƒุซุฑ ุฃูˆ ุฃู‚ู„ ุฃูˆ ุฃูƒุซุฑ ุฃูˆ ุฃูƒุซุฑ ู…ู†
412
00:43:15,590 --> 00:43:16,330
ู…ุฌู…ูˆุนุฉ ุงู„ุชุฌุงุฑุฉุŸ
413
00:43:20,790 --> 00:43:25,270
ู…ู†ุŸ ู…ู†ุŸ ุงู„ู…ู†ุชุฌุŒ ู†ุนู…ุŒ ุงู„ู…ู†ุชุฌ ุณูŠูƒูˆู†
414
00:43:25,270 --> 00:43:28,490
ููŠ ู‚ุงุนุฉ ู…ุฌู„ุณ ุงู„ุถุฑุงุฆุจุŒ ุฅุฐุง ูุฑุถุช ุงู„ุญูƒูˆู…ุฉ
415
00:43:28,490 --> 00:43:34,090
ุฃูˆ ูˆุถุนุช ุถุฑูŠุจุฉ ุนู„ู‰ ุงู„ู…ู†ุชุฌ B ุฃูˆ ุขุณู Y
416
00:43:34,090 --> 00:43:36,870
ุชู…ุงู…ุŸ ุญุณู†ุงู‹
417
00:43:42,240 --> 00:43:48,600
ู„ู†ุฃุฎุฐ ู…ุฑุญู„ุฉ ุฃุฎุฑู‰ ุฃูˆ ู…ุซุงู„ู‹ุง ู…ุฑุชุจุทู‹ุง ุจู€ Consumers
418
445
00:46:22,800 --> 00:46:23,080
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ
446
00:46:23,080 --> 00:46:27,520
ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃุณุจูˆุน ูˆ ุฃ
447
00:46:45,620 --> 00:46:52,620
ู…ู† 1 ุฅู„ู‰ 13 ู‡ุฐู‡ ุงู„ู…ู‚ุงู„ุฉ ู…ุทู„ูˆุจุฉ ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ B ู…ู† V
448
00:46:52,620 --> 00:46:56,500
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
449
00:46:56,500 --> 00:46:58,840
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
450
00:46:58,840 --> 00:46:59,140
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
451
00:46:59,140 --> 00:46:59,220
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
452
00:46:59,220 --> 00:46:59,280
ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V ู…ุฌู…ูˆุนุฉ ู…ู† V
453
00:46:59,280 --> 00:47:07,680
ู…ุฌู…ูˆุนุฉ
454
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
455
00:47:32,530 --> 00:47:41,220
And the total utility of product B is as follows: 15
456
00:47:41,220 --> 00:47:59,140
23 30 35 38 40.5 42.5 44 45
457
00:47:59,140 --> 00:48:06,540
45.75 46
458
00:48:06,540 --> 00:48:08,840
.25
459
00:48:10,650 --> 00:48:20,970
46.5 46.5 ุงูŠุถุง ุงุฐุง
460
00:48:20,970 --> 00:48:34,890
ู‚ูŠู…ุฉ A, P, A, F ู‚ูŠู…ุฉ A ุฃู‚ู„ ู…ู† 2 ูˆู‚ูŠู…ุฉ B ุฃู‚ู„ ู…ู† 0.5 ุฃูˆ ู†ุตู
461
00:48:34,890 --> 00:48:39,810
ูˆุฃู†ุชุฌ ุงู„ู†ุงุณ ุฃู‚ู„
462
00:48:39,810 --> 00:48:46,990
8 ู…ุง ู‡ูŠ ุฅูŠู‚ุงุฑุงุช ุงู„ุจุฑุงู…ุฌ ุงู„ูˆุงู‚ุนูŠุฉ ู„ู€ A ูˆ B ุงู„ุชูŠ ุชู‚ูˆู…
463
00:48:46,990 --> 00:48:51,870
ุจุชุญููŠุฒ ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู… ุงู„ูˆุงุถุญ ู„ู„ู…ุณุชุฎุฏู…ุŸ
464
00:48:55,700 --> 00:49:02,240
ุงู„ู…ุนุงุฏู„ุงุช ุงู„ู€ A ูˆ B ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุงุณุชุฎุฏุงู… ุงู„ู…ุนุงุฏู„ุงุช
465
00:49:02,240 --> 00:49:09,920
ุงู„ู€ A ูˆู…ุนุงุฏู„ุฉ ุงู„ู€ BุŒ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ A ุนู„ู‰ P A ูŠุฌุจ ุฃู†
466
00:49:09,920 --> 00:49:15,820
ุชูƒูˆู† ุงูŠุถุงุŒ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ B ุนู„ู‰ P BุŒ ู„ุฐู„ูƒ ุฏุนูˆู†ุง ู†ุจุฏุฃ
467
00:49:15,820 --> 00:49:22,860
ุจุงุณุชุฎุฏุงู… ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู€ A ุนู„ู‰ ู†ู‚ุทุฉ ูˆุงุญุฏุฉุŒ ูŠุฌุจ ุฃู†
468
00:49:22,860 --> 00:49:25,580
ูŠูƒูˆู† ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ุฃู‚ู„ ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุฒุงู†ูŠุฉ ู„ู€ AุŒ
469
00:49:25,580 --> 00:49:33,220
ู„ุฐู„ูƒ 40ุŒ ุซู… 70 ู…ู‚ุงุฑู†ุฉ 40ุŒ ุนุงุฏุฉ 2 ู…ู‚ุงุฑู†ุฉ 1ุŒ ูƒู…ุง
470
00:49:33,220 --> 00:49:37,960
ุชุนู„ู…ูŠู† ุฃู† MUA ูŠู‚ู„ ู„ู€ Delta Q ุฃูˆ Delta Tu AุŒ ุนุงุฏุฉ
471
00:49:37,960 --> 00:49:43,280
Delta QุŒ ู„ุฐู„ูƒ 70 ู…ู‚ุงุฑู†ุฉ 30ุŒ ุนุงุฏุฉ 2 ู…ู‚ุงุฑู†ุฉ 1ุŒ 30ุŒ
472
00:49:43,280 --> 00:49:54,010
20ุŒ 10ุŒ 5ุŒ 2 ุฃูˆ
473
00:49:54,010 --> 00:49:56,690
10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ
474
00:49:56,690 --> 00:50:01,110
10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ
475
00:50:01,110 --> 00:50:06,670
10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ
476
00:50:10,190 --> 00:50:10,590
5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ
477
00:50:10,930 --> 00:50:16,060
2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ุฃูˆ 10ุŒ 5ุŒ 2 ู…ุงุฐุง ุนู†
478
00:50:16,060 --> 00:50:21,000
ุงู„ู…ูˆุถูˆุน ุงู„ุซุงู†ูŠ ุฃูˆ ุงู„ู…ูˆุถูˆุน BุŸ ู„ู„ู…ูˆุถูˆุน BุŒ ุงู„ู…ู‚ุงุฑู†ุฉ
479
00:50:21,000 --> 00:50:26,120
ุจู€ B 15 23
480
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
481
00:50:42,920 --> 00:50:44,780
.5
482
00:50:46,160 --> 00:50:56,980
ูˆ 0.75 ูƒู…ุŸ ู†ุตู 0
483
00:50:56,980 --> 00:51:03,060
.25 ูˆ ุงู„ุฃุฎูŠุฑ 0ุŒ ู„ุชุฎุทูŠุท
484
00:51:03,060 --> 00:51:07,780
ุงุณุชุฎุฏุงู… ุงู„ู…ุฌุงู„ ู„ู„ุฏูˆู„ุงุฑ ุงู„ุฃุฎูŠุฑ ุงู„ุฐูŠ ู‚ู…ุช ุจู‡ุŒ ุงู„ุจุฑุงุฏุฑ
485
00:51:07,780 --> 00:51:18,170
ุจูŠู‡ ู…ูŠูˆ ุจูŠ ุนู…ุฑ ุจูŠ ุจูŠ 15 ุนู…ุฑ ู†ุตูุŒ ุทุจุนุง times two yes
486
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
487
00:51:34,030 --> 00:51:44,890
0.5 0 right ู„ุชุฎุทูŠุท ู…ู‚ุงูˆู…ุฉ ุงู„ุงูŠูƒูˆู„ูŠุจุฑุงู… ู„ู€ X ูˆ Y ุฃูˆ A
488
00:51:44,890 --> 00:51:48,050
ูˆ B ุงู„ุชูŠ ุชู‚ูˆู… ุจุชุญู‚ูŠู‚ ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู… ุจุงู„ูƒุงู…ู„
489
00:51:48,050 --> 00:51:54,570
ู„ู„ู…ุณุชุฎุฏู…ุŒ ูƒู…ุง ุฐูƒุฑู†ุง ุฃู†ู†ุง ู„ุฏูŠู†ุง ุงุชุฌุงุฑุงุช ุฃูˆู„ู‰ุŒ ู…ูŠูˆ ุงูŠ
490
00:51:54,570 --> 00:52:03,350
ู…ูŠูˆ ุงูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
491
00:52:03,350 --> 00:52:06,530
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
492
00:52:06,530 --> 00:52:08,530
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
493
00:52:08,530 --> 00:52:08,550
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ูˆ ู…ูŠูˆ ุจูŠ ุง
494
00:52:09,920 --> 00:52:20,880
ู…ุงุฐุง ูŠุนู†ูŠ ู‡ุฐุงุŸ ุฏุนู†ุง ู†ุฃุฎุฐ ุญุงู„ุชูŠู†ุŒ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ
495
00:52:20,880 --> 00:52:24,800
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
496
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
497
00:52:27,200 --> 00:52:27,380
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
498
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
499
00:52:27,980 --> 00:52:28,000
ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ
500
00:52:28,000 --> 00:52:38,000
ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ ูˆ ู…ูŠูˆ ุงูŠ
501
00:52:38,000 --> 00:52:48,780
ูˆ ู…ูŠ 10 ูˆ 10 5 yes 2
502
00:52:48,780 --> 00:52:59,720
.5 ู‡ู„ ู‡ู†ุงูƒ 2.5ุŸ ู„ุงุŒ 1 ู†ุนู…ุŒ 1 ู†ุนู…ุŒ ู…ุชูˆูุฑ ู„ุฐู„ูƒ
503
00:52:59,720 --> 00:53:08,140
ุงู„ูˆุถุน ุงู„ุฃูˆู„ุŒ ู…ู„ุชู‚ู‰ ุงู„ูˆุถุน
504
00:53:08,140 --> 00:53:08,200
ุงู„ุฃูˆู„
505
00:53:13,090 --> 00:53:21,550
is met at three cases; these
506
00:53:21,550 --> 00:53:26,290
cases are ten, five, and one; and one and one, ten,
507
00:53:26,290 --> 00:53:33,350
five, and one. So let's do the second, or test the
508
00:53:33,350 --> 00:53:39,150
second condition. The second condition is met at
509
00:53:44,490 --> 00:53:55,610
when I equals PA times QA plus PB times QB, or
510
00:53:55,610 --> 00:54:00,890
income is how much? The first condition, or at 10
511
00:54:02,690 --> 00:54:08,130
ู„ู†ุฃุฎุฐ ู‡ุฐู‡ ุงู„ุซู„ุงุซ ุญุงู„ุงุช ูˆุงุญุฏุฉ ุนู„ู‰ ูˆุงุญุฏุฉุŒ ู†ุฌุฑุจ ู‡ุฐู‡
512
00:54:08,130 --> 00:54:13,330
ุงู„ุซู„ุงุซ ุญุงู„ุงุช ูˆุงุญุฏุฉ ุนู„ู‰ ูˆุงุญุฏุฉ. ู„ุฐู„ูƒ ููŠ AุŒ ู†ู‚ู„ 8 ูŠุฌุจ
513
00:54:13,330 --> 00:54:24,150
ุฃู† ูŠูƒูˆู† ุฅูŠู‚ุงุฑ ุฃุณุนุงุฑ A ู‡ูˆ 2ุŒ ุงู„ู…ุฑุฉ ุงู„ู…ุงุฏุฉ ู…ู† A ููŠ 10
514
00:54:24,150 --> 00:54:30,310
ุงู„ู…ุฑุฉ ุงู„ู…ุงุฏุฉ ู…ู† A ููŠ 10 ู‡ูˆ ูƒู…ุŸ 3ุŒ ู†ุนู… 3
515
00:54:32,630 --> 00:54:41,190
plus the price of B, half times the quantity of B
516
00:54:41,190 --> 00:54:51,410
at ten, four yes. So it must equal two times three
517
00:54:51,410 --> 00:54:59,960
six plus two, achieved or met. ู„ุง ูŠูˆุฌุฏ ุญุงุฌุฉ ู„ุชุฌุงุฑุจ
518
00:54:59,960 --> 00:55:06,520
ุงู„ุฃุฎุฑู‰ุŒ ุงู„ุฃุณุงุณูŠูŠู† ุฃูˆ ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
519
00:55:06,520 --> 00:55:07,420
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
520
00:55:07,420 --> 00:55:08,060
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
521
00:55:08,060 --> 00:55:12,740
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
522
00:55:12,740 --> 00:55:15,360
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
523
00:55:15,360 --> 00:55:15,380
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
524
00:55:15,380 --> 00:55:17,380
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู†
525
00:55:17,380 --> 00:55:24,660
ุงู„ุฃุณุงุณูŠูŠู† ุงู„ุฃุณุงุณูŠูŠู† ุงู„
526
00:55:25,910 --> 00:55:34,690
ู„ุฃู†ู†ุง ู†ุนุฑู ุฃู† ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช A ูˆ B ุชุญูุฒ ู†ุชูŠุฌุฉ
527
00:55:34,690 --> 00:55:44,190
ุงู„ู…ุณุชุฎุฏู…ุŒ ุตุญูŠุญุŸ ุญุณู†ุงุŒ ู„ุฐุง ุฏุนูˆู†ุง ู†ู‚ุฑุฃ ูˆู†ู‚ุฑุฃ ู‡ุฐุง
528
00:55:44,190 --> 00:55:44,530
ุงู„ู…ูˆุถูˆุน
529
00:55:52,620 --> 00:55:54,980
ู†ุญู† ู„ุฏูŠู†ุง... ุงุนุชุจุงุฑ ุฃู† ู„ุฏูŠู†ุง ู‚ุงุฆู…ุฉ ุงู„ุงุฎุชุตุงุฑุงุช
530
00:55:54,980 --> 00:56:03,000
ุงู„ุชุงู„ูŠุฉ: ู‡ุฐู‡ ู‡ูŠ ูƒู…ูŠุฉ AุŒ ูƒู…ูŠุฉ
531
00:56:03,000 --> 00:56:10,560
VุŒ ูƒู…ูŠุฉ ุงุณุชุฎุฏุงู…ุŒ ุงูƒุชุณุงุจ
532
00:56:10,560 --> 00:56:16,940
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
533
00:56:16,940 --> 00:56:18,520
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
534
00:56:18,520 --> 00:56:21,560
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ
535
00:56:21,560 --> 00:56:27,010
ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุงูƒุชุณุงุจ ุนู†ุฏู…ุง ู†ุดุฑุญ ุฃู†ู†ุง ู†ุฏุนูŠ ุงู„ู…ุณุชุฎุฏู…
536
00:56:27,010 --> 00:56:37,610
ุฃู† ูŠุดุชุฑูŠ ุซู„ุงุซุฉ ู…ู† AุŒ ุซู„ุงุซุฉ ุนูŠูˆู† ู…ู† AุŒ ูˆุฃุฑุจุนุฉ ุนูŠูˆู†
537
00:56:37,610 --> 00:56:44,980
ู…ู† BุŒ ูŠุนู†ูŠ ุซู„ุงุซุฉ A ูˆุฃุฑุจุนุฉ B. ูˆู‚ุฏ ู‚ู„ู†ุง ุฃู† ู‡ุฐู‡
538
00:56:44,980 --> 00:56:49,420
ุงู„ู…ู‚ุงูˆู…ุงุช A ูˆ B ุณุชู‚ูˆู… ุจุฅุนุงุฏุฉ ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…
539
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
540
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…ู„
541
00:57:08,200 --> 00:57:14,390
ุงุณุชุฎุฏุงู… ุงู„ู…ุณุชุฎุฏู…ุŸ ุนุดุงู† 90 ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุนุดุงู† ุนุดุงู†
542
00:57:14,390 --> 00:57:14,710
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
543
00:57:14,710 --> 00:57:15,030
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
544
00:57:15,030 --> 00:57:16,010
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
545
00:57:16,010 --> 00:57:18,150
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
546
00:57:18,150 --> 00:57:21,270
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
547
00:57:21,270 --> 00:57:22,230
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู†
548
00:57:22,230 --> 00:57:29,130
ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุดุงู† ุนุด
549
00:57:31,260 --> 00:57:35,960
ูƒู… ู‡ูˆ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
550
00:57:35,960 --> 00:57:39,860
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
551
00:57:39,860 --> 00:57:41,700
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
552
00:57:41,700 --> 00:57:42,800
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
553
00:57:42,800 --> 00:57:44,240
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
554
00:57:44,240 --> 00:57:45,660
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
555
00:57:45,660 --> 00:57:51,100
ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
556
00:57:51,100 --> 00:57:57,740
ุงู„
557
00:57:59,810 --> 00:58:07,490
ุฃูˆ ุนู†ุฏู…ุง ูŠุณุชู‡ู„ูƒ ุงู„ู…ุณุชุฎุฏู… 2 ุฌุฒูŠุฑุฉ A ูˆ 8 ุฌุฒูŠุฑุฉ BุŒ ุฅุฐุง
558
00:58:07,490 --> 00:58:18,850
ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุณุชู‡ู„ูƒ... ุฅุฐุง
559
00:58:18,850 --> 00:58:27,050
ูƒุงู† ุงู„ู…ุณุชุฎุฏู… ูŠุณุชู‡ู„ูƒ
560
00:58:29,070 --> 00:58:34,470
ูŠุณุชุฎุฏู… 2 ุฌู…ุนุงุช ูˆ
561
00:58:34,470 --> 00:58:42,390
8 ุฌู…ุนุงุช ู…ู† BุŒ ุฏุนูˆู†ุง ู†ุฌุฑุจ ุงู„ูˆุถุน ุงู„ุซุงู†ูŠุŒ ุงู„ูˆุถุน
562
00:58:42,390 --> 00:58:52,650
ุงู„ุซุงู†ูŠ ู‡ูˆ I = PA ร— QA + PB ร— QBุŒ I ู‡ูˆ ูƒู…ุŸ
563
00:58:52,650 --> 00:59:06,550
8ุŒ ุฅูŠู‚ุงุฑ ุนู…ู„ A ู‡ูˆ 2ุŒ ู…ุน ุงู„ู…ู‚ุงูˆู…ุฉ ู„ู€ AุŒ 2ุŒ ุงู„ู…ู‚ุงูˆู…ุฉ
564
00:59:06,550 --> 00:59:21,710
ุจู„ูŠุณุฉ ุจูŠู‡ ู†ุตู ูˆ ุงู„ู…ู‚ุงูˆู…ุฉ ูƒู…ูŠุฉ ููŠ ุงุซู…ุฉ ุงุซู…ุฉ ุงุซู…ุฉ
565
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
566
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
567
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
568
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
569
00:59:28,620 --> 00:59:34,600
ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ูˆู„ูƒู† ู…ุงุฐุง ุนู† ุงู„ูˆุถุน ุงู„ุฃูˆู„ุŸ ููŠ ู‡ุฐู‡
570
00:59:34,600 --> 00:59:37,600
ุงู„ุญุงู„ุฉุŒ ุฃูˆ ุฏุนู†ุง ู†ู‚ูˆู… ุจุชุฎุทูŠุท ุงุณุชุฎุฏุงู… ุงู„ู…ุฌุชู…ุน
571
00:59:37,600 --> 00:59:40,820
ุงู„ู…ุฌุชู…ุนูŠ
572
00:59:43,530 --> 00:59:53,090
ูŠูƒูˆู† ู‡ู†ุงูƒ ุงุชุตุงู„ ุงุชุตุงู„
573
00:59:53,090 --> 00:59:57,010
ุงุชุตุงู„ ุงุชุตุงู„
574
00:59:57,010 --> 01:00:04,410
ุงุชุตุงู„
575
01:00:04,410 --> 01:00:10,310
ุงุชุตุงู„
576
01:00:10,310 --> 01:00:11,490
ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„ ุงุชุตุงู„
577
01:00:11,490 --> 01:00:19,600
ุงุชุตุงู„ ุงุช the total utility of B is 44; how much
578
01:00:19,600 --> 01:00:26,980
does the total utility equal? 114. Which combination of
579
01:00:26,980 --> 01:00:31,400
the quantity of X and Y, or A and B, gives the
580
01:00:31,400 --> 01:00:36,320
consumer maximum utility? The first, the first
581
01:00:36,320 --> 01:00:39,440
combination, because the first combination, three
582
01:00:39,440 --> 01:00:45,950
units of A and four... yes, because it meets the two
583
01:00:45,950 --> 01:00:49,670
conditions: first condition and the second. Let us
584
01:00:49,670 --> 01:00:54,970
test this.
585
01:00:54,970 --> 01:00:59,290
Or when the consumer consumes two units of A and
586
01:00:59,290 --> 01:01:03,550
eight of B, does the first condition achieved or
587
01:01:03,550 --> 01:01:11,650
meet? We will see. Let us do a test. ุงู„ูˆุงุถุญุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ
588
01:01:11,650 --> 01:01:18,310
ู…ูŠูˆ ุงูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
589
01:01:18,310 --> 01:01:18,630
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
590
01:01:18,630 --> 01:01:21,250
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
591
01:01:21,250 --> 01:01:21,270
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
592
01:01:21,270 --> 01:01:21,710
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
593
01:01:21,710 --> 01:01:29,150
ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ ู…ูŠูˆ ุจูŠ ุฃูˆ
594
01:01:29,150 --> 01:01:34,870
ู…ูŠูˆ
595
01:01:34,870 --> 01:01:35,590
ุจูŠ ุง
596
01:01:48,610 --> 01:01:59,270
15 ุฃูƒุซุฑ ู…ู† 3ุŒ ูุงู„ุฃูˆู„ ุญุงู„ุฉ ู„ุง ุชู†ุฌุญ
597
01:02:05,500 --> 01:02:14,300
ูˆุงู„ุซุงู†ูŠ ู…ุตุทู„ุญ ู…ูˆุฌูˆุฏุŒ ูุงู„ู…ุตุทู„ุญ ุงู„ุฃูˆู„ ู„ูŠุณ ู…ูˆุงุฌู‡ ุฃูˆ
598
01:02:14,300 --> 01:02:22,740
ู…ูˆุงุฌู‡ุŒ ู„ูŠุณ ู…ูˆุงุฌู‡ุŒ ุตุญุŸ ู„ุฏูŠู†ุง ุญุงู„ุฉ ุฃุฎุฑู‰ุŒ ู…ูˆุงุฌู‡
599
01:02:22,740 --> 01:02:29,820
ุงู„ู…ุตุทู„ุญ ุงู„ุซุงู†ูŠ. ุฅุฐุง ู†ุญู† ู…ู† ุงู„ู…ุณุชุฎุฏู… ู†ุณุชู‡ู„ูƒ ุฃุญุฏ ุฃุฌุฒุงุก
600
01:02:29,820 --> 01:02:39,820
A ูˆ 10 ุฃุฌุฒุงุก B. 12 units of B, yes. In this case, if
601
01:02:39,820 --> 01:02:44,900
the consumer consumes one unit of A and 12 units
602
01:02:44,900 --> 01:02:51,220
of B, let us do the second test. The second
603
01:02:51,220 --> 01:02:59,200
condition: it equals the price of A, two times the
604
01:02:59,200 --> 01:03:09,000
quantity of A, one plus the price of B, half
605
01:03:09,000 --> 01:03:18,500
ู…ุน 12 ูŠุฌุจ ุฃู† ูŠูƒูˆู† 2 + 6. ู„ู‚ุฏ ุชู… ุฅูŠุฌุงุฏู‡ุŒ ุฑูŠู…ูŠู„ุŒ ู„ูƒู† ู…ุงุฐุง
606
01:03:18,500 --> 01:03:24,620
ุนู† ุงู„ูˆุถุน ุงู„ุฃูˆู„ุŸ ู„ุง ุฃุนุฑูุŒ ูŠุฌุจ ุฃู† ู†ู‚ูˆู… ุจุงู„ุชุฌุงุฑุจ ู‡ู†ุง
607
01:03:25,730 --> 01:03:30,430
ุงู„ู…ูˆุถูˆุน ุงู„ุฃูˆู„ ู‡ูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
608
01:03:30,430 --> 01:03:31,490
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
609
01:03:31,490 --> 01:03:33,110
ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
610
01:03:33,110 --> 01:03:34,130
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
611
01:03:34,130 --> 01:03:39,790
ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ
612
01:03:39,790 --> 01:03:45,770
ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ ู…ูŠูˆ ุงูƒุณ ุฃูˆ
613
01:03:45,770 --> 01:03:50,570
ู…ูŠูˆ ุงูƒุณ
614
01:03:50,570 --> 01:03:51,570
ุฃูˆ
615
01:03:54,660 --> 01:03:57,800
ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
616
01:03:57,800 --> 01:04:00,340
ู…ูŠูˆ ู…ูŠูˆ ู…ูŠูˆ
617
01:04:18,320 --> 0