The constraint 5x₁ + 3x₂ $\le$ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of the following is appropriate? A)Min P₁d₁^- ; 5x₁ + 3x₂ + d₁^--d₁⁺ = 150 B)Min P₁d₁⁺ ; 5x₁ + 3x₂ + d₁^- -d₁⁺ = 150 C)Min P₁d₁⁺ ; 5x₁ + 3x₂ + d₁⁺ = 150 D)Min P₁d₁⁺ ; 5x₁ + 3x₂ -d₁⁺ = 150

Question

Quizplus · Accepted Answer

In order to turn the constraint into a goal equation, we want to minimize the value of a variable while still satisfying the constraint. In this case, we want to minimize the overutilization variable d₁ while still ensuring that 5x₁ + 3x₂ + d₁F1F1F1S1^-F1F1F10 <= 150. Option A adds an additional term to the objective function that includes the value of ^and, which are not relevant to minimizing the overutilization. Therefore, it is not an appropriate choice. Option C does not include the overutilization variable in the objective function, so it is not appropriate. Option D constraints the overutilization variable to be less than or equal to the difference between F1F1F1S1 and F1F1F10, which is not the same constraint as the original one. Therefore, it is not an appropriate choice. Option B is the correct choice because it minimizes d₁ while including the relevant constraint: 5x₁ + 3x₂ + d₁F1F1F1S1^- <= 150. Additionally, it includes the variables ^and in the objective function so as to avoid overutilization.

The Constraint 5x1 + 3x2 ≤\le≤ 150 Is Modified to Become a Goal Equation, and Priority

The Constraint 5x₁ + 3x₂ $\le$ 150 Is Modified to Become a Goal Equation, and Priority