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

Question

4. Formulate only. Define all your variables first. There are decision 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 (hrs. per unit product) Equipment (hrs. per unit product) Profit per unit product $30 $25 The general manager has prioritized the following goals PI. 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 three decision variable here.

Here we can assume that There are X unit of product A produced and Y unit of product B is produced.

Here we have to acheive the target of total profit

TP = 30X + 25 Y

Constraint to :

X 7

Y 10

7X + 4 Y   95

2X + 5Y   130

6X + 9Y   110

30 X + 25Y = 850

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