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Questions and Answers
Given the equations $x_1 + 2x_3 = 0$ and $x_2 + x_3 = 1$, and the objective function to maximize $Z = 2x_1 + 3x_2 + 10x_3$, what is the maximum value of Z?
Given the equations $x_1 + 2x_3 = 0$ and $x_2 + x_3 = 1$, and the objective function to maximize $Z = 2x_1 + 3x_2 + 10x_3$, what is the maximum value of Z?
- 3
- 6
- 4
- 5 (correct)
Flashcards
Objective Function
Objective Function
The objective function to be maximized in a linear programming problem.
Constraints
Constraints
Equations that restrict the values of the variables in the objective function.
Coefficient
Coefficient
The value assigned to each variable in the objective function.
Decision Variable
Decision Variable
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Inputs and Outputs
Inputs and Outputs
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Study Notes
- The goal is to maximize Z = 2x₁ + 3x₂ + 10x₃
- Subject to the constraints:
- x₁ + 2x₃ = 0
- x₂ + x₃ = 1
- Potential answers include: 3, 4, 6, and 5
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Description
Maximization problem with constraints. Maximize Z = 2x₁ + 3x₂ + 10x₃ subject to the constraints: x₁ + 2x₃ = 0, x₂ + x₃ = 1.
