4. Formulate only. Define all your Tatiables first. There are - decision varlabl

Question

4. Formulate only. Define all your Tatiables first. There are - decision varlables in this problen. Ace Manufacturing produces two products A and B according to the Eollowing data chart. roduct A Product B Material (parts per unit product) Labor thrs. per unit product Equigment thrs. per unit product Profit per unit product 535 525 The general nanager has prioritized the following goals. PI. Manufacture at least 8 units of product A and 20 units of product B. 22. Avoid using nore than 95 parts of naterial, 125 worker houts, and 110 equipment hours. P3. Achieve a target profit ot $750 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- = 8

B - d2+ + d2- = 20

9A + 5B - d3+ + d3- = 95

3A + 5B - d4+ + d4- = 125

6A + 4B - d5+ + d5- = 110

35A + 25B - d6+ + d6- = 750

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

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