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Fiesta28
1 month ago
9

The constraint 5x 1 + 3x 2 ≤ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of t

he 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
Mathematics
1 answer:
tester [12.3K]1 month ago
7 0

Response:

c. Optimize P,d1+; 5x1 + 3x2 + d1+ = 150

Detailed explanation:

5x1 + 3x2 = 150. To change an equation to equality, we introduce an ‘artificial’ variable (d1): 5X1 + 3X2 + d1 = 150. An artificial variable is used in linear programming and doesn't have a direct physical significance. It serves to provide an initial basic feasible solution for beginning the simplex method. It's important to note that an artificial variable cannot be part of the final solution. In this scenario, we use this artificial variable to prevent overutilization.

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