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100
How do you add a constraint that x + y + z <= 25 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z <= 25)
101
How do you add a constraint that ensures x is at least 5 in Pyomo?
model.constraint = Constraint(expr=model.x >= 5)
102
How do you add a constraint that 2x + 3y - z = 0 in Pyomo?
model.constraint = Constraint(expr=2*model.x + 3*model.y - model.z == 0)
103
How do you add a constraint to ensure x is between 1 and 10 in Pyomo?
model.constraint = Constraint(expr=(1 <= model.x <= 10))
104
How do you add a constraint that ensures the sum of x and y is at least 10 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y >= 10)
105
How do you add a constraint that x - y <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y <= 5)
106
How do you add a constraint ensuring that 2a + 3b + 4c = 30 in Pyomo?
model.constraint = Constraint(expr=2*model.a + 3*model.b + 4*model.c == 30)
107
How do you add a constraint that ensures x is not greater than 20 in Pyomo?
model.constraint = Constraint(expr=model.x <= 20)
108
How do you add a constraint ensuring x + 2y + 3z >= 40 in Pyomo?
model.constraint = Constraint(expr=model.x + 2*model.y + 3*model.z >= 40)
109
How do you add a constraint that ensures x - y >= 3 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y >= 3)
110
How do you add a constraint ensuring that a + b + c <= 15 in Pyomo?
model.constraint = Constraint(expr=model.a + model.b + model.c <= 15)
111
How do you add a constraint with a product of variables xy <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x * model.y <= 10)
112
How do you add a constraint that x^2 + y^2 <= 25 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 <= 25)
113
How do you add a constraint ensuring that the absolute difference |x - y| <= 5 in Pyomo?
model.constraint = Constraint(expr=abs(model.x - model.y) <= 5)
114
How do you add a constraint with a logical operator that if x >= 5 then y <= 3 in Pyomo?
model.constraint = Constraint(expr=(model.x >= 5) >> (model.y <= 3))
115
How do you add a constraint with min function min(x, y) >= 3 in Pyomo?
model.constraint = Constraint(expr=model.x >= 3)\nmodel.constraint2 = Constraint(expr=model.y >= 3)
116
How do you add a constraint with max function max(x, y) <= 10 in Pyomo?
model.constraint = Constraint(expr=model.x <= 10)\nmodel.constraint2 = Constraint(expr=model.y <= 10)
117
How do you add a constraint with a ratio x / y <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x <= 5 * model.y)
118
How do you add a constraint with a fractional function (x + 1) / (y + 2) >= 3 in Pyomo?
model.constraint = Constraint(expr=(model.x + 1) >= 3 * (model.y + 2))
119
How do you add a nonlinear constraint x^3 + y^2 <= 20 in Pyomo?
model.constraint = Constraint(expr=model.x**3 + model.y**2 <= 20)
120
How do you add a constraint with power function x^y <= 50 in Pyomo?
model.constraint = Constraint(expr=model.x**model.y <= 50)
121
How do you add a constraint with conditional statements that if x <= 2 then y >= 4 in Pyomo?
model.constraint = Constraint(expr=(model.x <= 2) >> (model.y >= 4))
122
How do you add a dynamic constraint x + ty <= 20 where t is a parameter in Pyomo?
model.t = Param(initialize=2)\nmodel.constraint = Constraint(expr=model.x + model.t * model.y <= 20)
123
How do you add a mixed-integer constraint where x is an integer and y is a continuous variable with x + y <= 10 in Pyomo?
model.x = Var(within=Integers)\nmodel.y = Var(domain=NonNegativeReals)\nmodel.constraint28 = Constraint(expr=model.x + model.y <= 10)
124
How do you add a constraint ensuring x + 2y = 10 in Pyomo?
model.constraint = Constraint(expr=model.x + 2 * model.y == 10)
125
How do you add a constraint ensuring x + y^2 <= 12 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y**2 <= 12)
126
How do you add a constraint ensuring 4x - y >= 8 in Pyomo?
model.constraint = Constraint(expr=4 * model.x - model.y >= 8)
127
How do you add a constraint ensuring x^3 + y <= 20 in Pyomo?
model.constraint = Constraint(expr=model.x**3 + model.y <= 20)
128
How do you add a constraint ensuring 2x - 3y <= 7 in Pyomo?
model.constraint = Constraint(expr=2 * model.x - 3 * model.y <= 7)
129
How do you add a constraint ensuring log(x + 1) + y <= 5 in Pyomo?
model.constraint = Constraint(expr=log(model.x + 1) + model.y <= 5)
130
How do you add a constraint ensuring e^x + y <= 10 in Pyomo?
model.constraint = Constraint(expr=exp(model.x) + model.y <= 10)
131
How do you add a constraint ensuring x + sqrt(y) >= 2 in Pyomo?
model.constraint = Constraint(expr=model.x + sqrt(model.y) >= 2)
132
How do you add a constraint ensuring x + y + z <= 15 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z <= 15)
133
How do you add a constraint ensuring x is binary (0 or 1) in Pyomo?
model.x = Var(within=Binary)\nmodel.constraint = Constraint(expr=model.x >= 0)
134
How do you add a constraint ensuring 5x - 3y <= 8 in Pyomo?
model.constraint = Constraint(expr=5 * model.x - 3 * model.y <= 8)
135
How do you add a constraint ensuring x + y + z = 12 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + model.z == 12)
136
How do you add a constraint ensuring 3x + 2y - 4z <= 6 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 2 * model.y - 4 * model.z <= 6)
137
How do you add a constraint ensuring 2x - y + z >= 7 in Pyomo?
model.constraint = Constraint(expr=2 * model.x - model.y + model.z >= 7)
138
How do you add a constraint ensuring log(x + 2) + y <= 5 in Pyomo?
model.constraint = Constraint(expr=log(model.x + 2) + model.y <= 5)
139
How do you add a constraint ensuring exp(x) + y + z <= 15 in Pyomo?
model.constraint = Constraint(expr=exp(model.x) + model.y + model.z <= 15)
140
How do you add a constraint ensuring x + y^3 >= 4 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y**3 >= 4)
141
How do you add a constraint ensuring 2x - 5y = 10 in Pyomo?
model.constraint = Constraint(expr=2 * model.x - 5 * model.y == 10)
142
How do you add a constraint ensuring sqrt(x) + y <= 3 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x) + model.y <= 3)
143
How do you add a constraint ensuring x + y + 2z >= 9 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + 2 * model.z >= 9)
144
How do you add a constraint ensuring x * y <= 20 in Pyomo?
model.constraint = Constraint(expr=model.x * model.y <= 20)
145
How do you add a constraint ensuring x^2 + y^2 + z^2 <= 30 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 + model.z**2 <= 30)
146
How do you add a constraint ensuring sin(x) + y <= 1 in Pyomo?
model.constraint = Constraint(expr=sin(model.x) + model.y <= 1)
147
How do you add a constraint ensuring cos(x) + y >= 0 in Pyomo?
model.constraint = Constraint(expr=cos(model.x) + model.y >= 0)
148
How do you add a constraint ensuring tan(x) + y <= 2 in Pyomo?
model.constraint = Constraint(expr=tan(model.x) + model.y <= 2)
149
How do you add a constraint ensuring x + y + log(z) <= 7 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + log(model.z) <= 7)
150
How do you add a constraint ensuring exp(x) + y >= 5 in Pyomo?
model.constraint = Constraint(expr=exp(model.x) + model.y >= 5)
151
How do you add a constraint ensuring x / y <= 4 in Pyomo?
model.constraint = Constraint(expr=model.x / model.y <= 4)
152
How do you add a constraint ensuring y - 3x >= 2 in Pyomo?
model.constraint = Constraint(expr=model.y - 3 * model.x >= 2)
153
How do you add a constraint ensuring x - 2y + z <= 8 in Pyomo?
model.constraint = Constraint(expr=model.x - 2 * model.y + model.z <= 8)
154
How do you add a constraint ensuring x^3 + y^2 + z >= 6 in Pyomo?
model.constraint = Constraint(expr=model.x**3 + model.y**2 + model.z >= 6)
155
How do you add a constraint ensuring log(x) + y + z <= 10 in Pyomo?
model.constraint = Constraint(expr=log(model.x) + model.y + model.z <= 10)
156
How do you add a constraint ensuring sqrt(x) + y + z >= 3 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x) + model.y + model.z >= 3)
157
How do you add a constraint ensuring sin(x) + cos(y) <= 1 in Pyomo?
model.constraint = Constraint(expr=sin(model.x) + cos(model.y) <= 1)
158
How do you add a constraint ensuring tan(x) + y - z >= 2 in Pyomo?
model.constraint = Constraint(expr=tan(model.x) + model.y - model.z >= 2)
159
How do you add a constraint ensuring x + 2y - 3z <= 9 in Pyomo?
model.constraint = Constraint(expr=model.x + 2 * model.y - 3 * model.z <= 9)
160
How do you add a constraint ensuring 4x + 5y - 6z = 12 in Pyomo?
model.constraint = Constraint(expr=4 * model.x + 5 * model.y - 6 * model.z == 12)
161
How do you add a constraint ensuring log(x + y) <= 2z in Pyomo?
model.constraint = Constraint(expr=log(model.x + model.y) <= 2 * model.z)
162
How do you add a constraint ensuring x^2 + y^2 = z^2 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 == model.z**2)
163
How do you add a constraint ensuring sqrt(x + y) + z <= 5 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x + model.y) + model.z <= 5)
164
How do you add a constraint ensuring exp(x) + log(y) <= 1 in Pyomo?
model.constraint = Constraint(expr=exp(model.x) + log(model.y) <= 1)
165
How do you add a constraint ensuring sin(x) + cos(y) + tan(z) <= 3 in Pyomo?
model.constraint = Constraint(expr=sin(model.x) + cos(model.y) + tan(model.z) <= 3)
166
How do you add a constraint ensuring 3x + 4y + 5z >= 10 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y + 5 * model.z >= 10)
167
How do you add a constraint ensuring 2x + log(y + z) <= 8 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + log(model.y + model.z) <= 8)
168
How do you add a constraint ensuring sqrt(x + y + z) <= 4 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x + model.y + model.z) <= 4)
169
How do you add a constraint ensuring exp(x + y) + z <= 5 in Pyomo?
model.constraint = Constraint(expr=exp(model.x + model.y) + model.z <= 5)
170
How do you add a constraint ensuring log(x + y + z) <= 6 in Pyomo?
model.constraint = Constraint(expr=log(model.x + model.y + model.z) <= 6)
171
How do you add a constraint ensuring sin(x + y) + cos(z) <= 2 in Pyomo?
model.constraint = Constraint(expr=sin(model.x + model.y) + cos(model.z) <= 2)
172
How do you add a constraint ensuring x + y^2 + z^3 <= 20 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y**2 + model.z**3 <= 20)
173
How do you add a constraint ensuring 2x + 3y - z <= 7 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y - model.z <= 7)
174
How do you add a constraint ensuring x + 2y - 3z >= 8 in Pyomo?
model.constraint = Constraint(expr=model.x + 2 * model.y - 3 * model.z >= 8)
175
How do you add a constraint ensuring 3x - 4y + 5z <= 15 in Pyomo?
model.constraint = Constraint(expr=3 * model.x - 4 * model.y + 5 * model.z <= 15)
176
How do you add a constraint ensuring log(x) + y - z >= 3 in Pyomo?
model.constraint = Constraint(expr=log(model.x) + model.y - model.z >= 3)
177
How do you add a constraint ensuring exp(x) - y + z <= 10 in Pyomo?
model.constraint = Constraint(expr=exp(model.x) - model.y + model.z <= 10)
178
How do you add a constraint ensuring x^2 + y^2 + z <= 5 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 + model.z <= 5)
179
How do you add a constraint ensuring x - y + 2z <= 12 in Pyomo?
model.constraint = Constraint(expr=model.x - model.y + 2 * model.z <= 12)
180
How do you add a constraint ensuring x + y + log(z + 1) <= 7 in Pyomo?
model.constraint = Constraint(expr=model.x + model.y + log(model.z + 1) <= 7)
181
How do you add a constraint ensuring sqrt(x) + y - z >= 2 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x) + model.y - model.z >= 2)
182
How do you add a constraint ensuring sin(x) + cos(y) - z <= 1 in Pyomo?
model.constraint = Constraint(expr=sin(model.x) + cos(model.y) - model.z <= 1)
183
How do you add a constraint ensuring tan(x) - y + z >= 3 in Pyomo?
model.constraint = Constraint(expr=tan(model.x) - model.y + model.z >= 3)
184
How do you add a constraint ensuring 2x + 3y + 4z <= 10 in Pyomo?
model.constraint = Constraint(expr=2 * model.x + 3 * model.y + 4 * model.z <= 10)
185
How do you add a constraint ensuring log(x + y) - z >= 1 in Pyomo?
model.constraint = Constraint(expr=log(model.x + model.y) - model.z >= 1)
186
How do you add a constraint ensuring exp(x + y) - z <= 6 in Pyomo?
model.constraint = Constraint(expr=exp(model.x + model.y) - model.z <= 6)
187
How do you add a constraint ensuring sqrt(x + y) - z <= 3 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x + model.y) - model.z <= 3)
188
How do you add a constraint ensuring sin(x + y) + z <= 4 in Pyomo?
model.constraint = Constraint(expr=sin(model.x + model.y) + model.z <= 4)
189
How do you add a constraint ensuring cos(x + y) + z <= 2 in Pyomo?
model.constraint = Constraint(expr=cos(model.x + model.y) + model.z <= 2)
190
How do you add a constraint ensuring tan(x + y) + z >= 5 in Pyomo?
model.constraint = Constraint(expr=tan(model.x + model.y) + model.z >= 5)
191
How do you add a constraint ensuring x^2 + y^2 - z^2 <= 9 in Pyomo?
model.constraint = Constraint(expr=model.x**2 + model.y**2 - model.z**2 <= 9)
192
How do you add a constraint ensuring log(x + y + z) <= 10 in Pyomo?
model.constraint = Constraint(expr=log(model.x + model.y + model.z) <= 10)
193
How do you add a constraint ensuring exp(x + y + z) <= 15 in Pyomo?
model.constraint = Constraint(expr=exp(model.x + model.y + model.z) <= 15)
194
How do you add a constraint ensuring sqrt(x + y + z) <= 5 in Pyomo?
model.constraint = Constraint(expr=sqrt(model.x + model.y + model.z) <= 5)
195
How do you add a constraint ensuring sin(x + y + z) <= 1 in Pyomo?
model.constraint = Constraint(expr=sin(model.x + model.y + model.z) <= 1)
196
How do you add a constraint ensuring cos(x + y + z) >= 0 in Pyomo?
model.constraint = Constraint(expr=cos(model.x + model.y + model.z) >= 0)
197
How do you add a constraint ensuring tan(x + y + z) <= 2 in Pyomo?
model.constraint = Constraint(expr=tan(model.x + model.y + model.z) <= 2)
198
How do you add a constraint ensuring 3x + 4y + 5z <= 20 in Pyomo?
model.constraint = Constraint(expr=3 * model.x + 4 * model.y + 5 * model.z <= 20)
199
How do you add a constraint ensuring log(x + y) + z >= 3 in Pyomo?
model.constraint = Constraint(expr=log(model.x + model.y) + model.z >= 3)