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<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a simple linear constraint x + y <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring that 3x + 4y >= 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3*model.x + 4*model.y >= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add an equality constraint x = y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x == model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint to limit z <= 15 where z is a variable in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.z <= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that x + y + z <= 25 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y + model.z <= 25)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that ensures x is at least 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x >= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that 2x + 3y - z = 0 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2*model.x + 3*model.y - model.z == 0)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint to ensure x is between 1 and 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(1 <= model.x <= 10))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that ensures the sum of x and y is at least 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y >= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that x - y <= 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x - model.y <= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring that 2a + 3b + 4c = 30 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2*model.a + 3*model.b + 4*model.c == 30)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that ensures x is not greater than 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring x + 2y + 3z >= 40 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + 2*model.y + 3*model.z >= 40)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring y is exactly 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.y == 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring x is at least twice y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x >= 2*model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that ensures x + y - z = 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y - model.z == 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring x <= 5y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= 5*model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that 3x + 4y + 5z <= 50 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3*model.x + 4*model.y + 5*model.z <= 50)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring a + b + c >= 100 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.a + model.b + model.c >= 100)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + y <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you enforce 3x + 4y >= 25 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.x + 4 * model.y >= 25)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add the equality constraint x - y = 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x - model.y == 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you include the constraint 2a + 3b + c <= 15 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.a + 3 * model.b + model.c <= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add 4m - 2n = 8 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=4 * model.m - 2 * model.n == 8)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you enforce p + 5q >= 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.p + 5 * model.q >= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add the constraint 2x + 3y - z <= 18 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.x + 3 * model.y - model.z <= 18)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you include the constraint 5x + 7y <= 35 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=5 * model.x + 7 * model.y <= 35)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add x - 2y >= 0 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x - 2 * model.y >= 0)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you enforce 3x + 4y + 5z = 50 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.x + 4 * model.y + 5 * model.z == 50)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add the constraint 2a - b + 3c <= 12 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.a - model.b + 3 * model.c <= 12)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you include 4p + 3q >= 40 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=4 * model.p + 3 * model.q >= 40)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add 2x + 3y + 4z <= 30 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.x + 3 * model.y + 4 * model.z <= 30)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you enforce 5a + b - c >= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=5 * model.a + model.b - model.c >= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add the constraint 3m - 2n <= 6 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.m - 2 * model.n <= 6)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you include 4x + 5y + 6z = 60 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=4 * model.x + 5 * model.y + 6 * model.z == 60)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add 2a + b >= 5 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.a + model.b >= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you enforce x + y + z <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y + model.z <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add the constraint 2p + 3q + r >= 15 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.p + 3 * model.q + model.r >= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How can you include 3a + 4b - c <= 20 as a constraint in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.a + 4 * model.b - model.c <= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that 3x + 4y <= 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.x + 4 * model.y <= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that 5x - 2y = 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=5 * model.x - 2 * model.y == 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that x + y >= 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y >= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add an upper bound constraint such that x <= 15 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a lower bound constraint such that y >= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.y >= 3)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that 2x + 3y + 4z <= 25 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.x + 3 * model.y + 4 * model.z <= 25)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that the sum of x, y, and z equals 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y + model.z == 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that the ratio of x to y is at least 2 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x >= 2 * model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that the difference between x and y is less than or equal to 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x - model.y <= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint that the absolute difference between x and y is less than or equal to 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=abs(model.x - model.y) <= 3)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you ensure that x is at least twice the value of y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x >= 2 * model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you ensure that y does not exceed the value of x in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.y <= model.x)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint using parameters a and b such that ax + by <= 30 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.a * model.x + model.b * model.y <= 30)"<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a piecewise linear constraint to a model in Pyomo?<|im_end|> <|im_start|>assistant from pyomo.environ import Piecewise model.f = Var() model.x_pts = [0, 1, 2] model.f_pts = [0, 1, 4] model.constraint = Piecewise(model.x, model.f, pw_pts=model.x_pts, f_rule=model.f_pts)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a logical constraint that if x >= 2, then y <= 4 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(model.x >= 2) & (model.y <= 4))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a conditional constraint that if x > 5, then y >= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(model.x > 5).implies(model.y >= 3))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint involving a binary variable b such that if b=1, then x >= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.b = Var(domain=Binary) model.constraint = Constraint(expr=model.x >= 10 * model.b)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint involving an integer variable z such that x + z <= 15 in Pyomo?<|im_end|> <|im_start|>assistant model.z = Var(domain=NonNegativeIntegers) model.constraint = Constraint(expr=model.x + model.z <= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add an equality constraint x + y = 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y == 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x <= 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint y >= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.y >= 3)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint 3x + 4y <= 24 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.x + 4 * model.y <= 24)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint 2x + 5y = 15 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.x + 5 * model.y == 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + 2y - z <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + 2 * model.y - model.z <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x^2 + y <= 9 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x**2 + model.y <= 9)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint y <= log(x) in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.y <= log(model.x))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + y >= 4 and x + y <= 6 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint1 = Constraint(expr=model.x + model.y >= 4) model.constraint2 = Constraint(expr=model.x + model.y <= 6)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x <= y + 2 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= model.y + 2)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x = y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x == model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + 3y + z >= 7 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + 3 * model.y + model.z >= 7)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint 2x + 3y - 4z <= 15 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=2 * model.x + 3 * model.y - 4 * model.z <= 15)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x >= y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x >= model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + y + z <= 12 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y + model.z <= 12)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x^2 + y^2 <= 25 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x**2 + model.y**2 <= 25)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint 3x - y + z >= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3 * model.x - model.y + model.z >= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x - 2y + 3z = 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x - 2 * model.y + 3 * model.z == 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + y <= 8 and x <= y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint1 = Constraint(expr=model.x + model.y <= 8) model.constraint2 = Constraint(expr=model.x <= model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint x + y <= z + 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y <= model.z + 3)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a quadratic constraint x^2 + y^2 <= 25 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x**2 + model.y**2 <= 25)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with absolute values |x - y| <= 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=abs(model.x - model.y) <= 5)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a piecewise linear constraint f(x) = x if x <= 1 else 2x - 1 if x > 1 in Pyomo?<|im_end|> <|im_start|>assistant model.f = Var() model.constraint1 = Constraint(expr=model.f <= model.x) model.constraint2 = Constraint(expr=model.f <= 2*model.x - 1 + M*(model.x <= 1))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint involving summation that ensures x + y = 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y == 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint involving product of variables xy <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x * model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with trigonometric functions sin(x) <= y in Pyomo?<|im_end|> <|im_start|>assistant import math model.constraint = Constraint(expr=math.sin(model.x) <= model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with logarithmic functions log(x) >= 2 in Pyomo?<|im_end|> <|im_start|>assistant import math model.constraint = Constraint(expr=math.log(model.x) >= 2)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with exponential functions e^x + y <= 10 in Pyomo?<|im_end|> <|im_start|>assistant import math model.constraint = Constraint(expr=math.exp(model.x) + model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with if-else conditions that if x >= 5 then y <= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(model.x >= 5) >> (model.y <= 3))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with min function min(x, y) >= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint1 = Constraint(expr=model.x >= 3) model.constraint2 = Constraint(expr=model.y >= 3)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with max function max(x, y) <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint1 = Constraint(expr=model.x <= 10) model.constraint2 = Constraint(expr=model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with a ratio x / y <= 5 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x <= 5 * model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with a fractional function (x + 1) / (y + 2) >= 3 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(model.x + 1) >= 3 * (model.y + 2))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a nonlinear constraint x^3 + y^2 <= 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x**3 + model.y**2 <= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with power function x^y <= 50 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x**model.y <= 50)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint with conditional statements that if x <= 2 then y >= 4 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=(model.x <= 2) >> (model.y >= 4))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a dynamic constraint x + ty <= 20 where t is a parameter in Pyomo?<|im_end|> <|im_start|>assistant model.t = Param(initialize=2) model.constraint = Constraint(expr=model.x + model.t * model.y <= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add an integer constraint x in {0, 1, 2, 3} in Pyomo?<|im_end|> <|im_start|>assistant model.x = Var(within=Integers, bounds=(0, 3))<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user 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?<|im_end|> <|im_start|>assistant model.x = Var(within=Integers) model.y = Var(domain=NonNegativeReals) model.constraint28 = Constraint(expr=model.x + model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a simple linear constraint x + y <= 10 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x + model.y <= 10)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint ensuring that 3x + 4y >= 20 in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=3*model.x + 4*model.y >= 20)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add an equality constraint x = y in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.x == model.y)<|im_end|>

<|im_start|>system You are a helpful assistant.<|im_end|> <|im_start|>user How do you add a constraint to limit z <= 15 where z is a variable in Pyomo?<|im_end|> <|im_start|>assistant model.constraint = Constraint(expr=model.z <= 15)<|im_end|>