Let P1 = number of Product 1 to be produced P2 = number of Product 2...

Let P1 = number of Product 1 to be produced

P2 = number of Product 2 to be produced

P3 = number of Product 3 to be produced

P4 = number of Product 4 to be produced

Maximize 15P1 + 20P2 + 24P3 + 15P4 Total profit

Subject to

8P1 + 12P2 + 10P3 + 8P4 ≤ 3000 Material requirement constraint

4P1 + 3P2 + 2P3 + 3P4 ≤ 1000 Labor hours constraint

P2 > 120 Minimum quantity needed for Product 2 constraint

And P1, P2, P3, P4 ≥ 0 Non-negativity constraints.

(a) Determine the optimal solution and the optimal value and interpret their meanings.

(b) Determine the slack (or surplus) value for each constraint and interpret its meaning.

Solve without using Microsoft Excel

Expert Solution

orchestra answered 2 years ago

Let P1 = number of Product 1 to be produced P2 = number of Product 2...

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Let P1 = number of Product 1 to be produced P2 = number of Product 2...

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