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

This is the problem having the main objective of maximizing profit.

Let x1 is represents the product A and x2 represents product B

The objective function Max Z =45 x1 + 25 x2

Constraints:-

For number of units:- x1 8 ;   x2 20

Avoiding:- 9 x1 +5 x2 95

3 x1+7 x2 125

6 x1+ 4 x2 110

Target Profit :- 45 x1 + 25 x2 =350

Where x1 , x2 >0

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