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

Question

4. Formulate only. Define all your variables Eirst. There are decision variables in this problem. Ace Manufacturing produces two products A and B according to the following data chart. Product A Product Material (parts per unit product) Labor (hrs. per unit product) Equipment (hrs. per unit product) Profit per unit product $30 $25 The general manager has prioritized the following goals. PT. Manufacture at least 7 units of product A and 10 units of product B. P2. Avoid using more than 95 parts of material, 130 worker hours, and 110 equipment hours. P3. Achieve a target profit of $850 exactly.

Explanation / Answer

There are two variables which are the units of Product A and product b

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 =30 x1 + 25 x2

Constraints:-

For number of units:- x1 7 ;   x2 10

Avoiding:- 7 x1 +4 x2 95

2 x1+5 x2 130

6 x1+ 9 x2 110

Target Profit :- 30 x1 + 25 x2 =850

Where x1 , x2 >0

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