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rmulate only. Define all your variables first. There are variables in this probl

ID: 376779 • Letter: R

Question

rmulate only. Define all your variables first. There are variables in this problem. decision Ace Manufacturing produces two products A and B according to the following data chart. Product A ProductB Material (parts per unit product) Labor (hrs. per unit product) Equipment (hrs. per unit product) Profit per unit product s30 $25 The general manager has prioritized the following goal.s. PI. Manufacture at least 7 units of product A and 10 units of product B. P2. Avoid equipment using more than 95 parts of material, 130 worker hours, and 110 hours. P3. Achieve a target profit of $850 exactly.

Explanation / Answer

There are __ 14 __ decision variables. 2 of them are standard variables, and 12 are deviation variables.

Standar variables:

A = Number of product A to produce

B = Number of product B to produce

Objective: Min 3d1- + 3d2- + 2d3+ + 2d4+ + 2d5+ + d6+ d6-

Constraints:

A - d1+ + d1- = 7

B - d2+ + d2- = 10

7A + 4B - d3+ + d3- = 95

2A + 5B - d4+ + d4- = 130

6A + 9B - d5+ + d5- = 110

30A + 25B - d6+ + d6- = 850

A, B, d1+, d1-, d2+, d2-, d3+, d3-, d4+, d4-, d5+, d5-, d6+, d6- >= 0