4. Formulate decision only. Define all your variables first. There are variables

Question

4. Formulate decision only. Define all your variables first. There are variables in this problem. Ace Manufacturing produces two products A and B according to the following data chart. Product A Product B Material (parts per unit product) Labor thrs. per unit product) Equipment (hrs. per unit product) Profit per unit product 9 3. $45 , $25 The general manager has prioritized the following goals. PI. Manufacture at least 8 units of product A and 20 units of product B. P2. Avoid using more than 95 parts of material, 125 worker hours, and 110 equipment hours. P3. Achieve a target profit of $350 exactly.

Explanation / Answer

Objective (Z): Profit maximization is $45 for product A & $ 25 for Product B

There is Following Variable in this problem

                                                                Product A                             Product B

Material (part per unit)                        9                                             5

Labors (hrs per unit)                             3                                             7

Equipment (hrs per unit product)      6                                             4

Production of Unit at least                  8 units                                    20 units

Formulation of Problem

Z = $45A + $25B = $350

Variables

9A+5B 95 Part              (Material Constraints)

3A+7B 125 hrs             (Worker Hours Constraints)

6A+4B 110 Equipment (Equipment Constraints)

A 8 Units             (Production Constraints)

B 20 Units           (Production Constraints)

A+B 0,

A 0,

B 0,

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