Answer the next three questions based on the following linear programming proble

Question

Answer the next three questions based on the following linear programming problem, which has been written to plan the production of two products. The company wants to maximize its profits.

X1 = number of product 1 produced in each batch

X2 = number of product 2 produced in each batch

Max: 150X1 + 250 X2

Subject to: 2X1 + 5X2 <= 200

3X1 + 7X2 <= 175

X1, X2 >= 0

How much profit is earned per unit of product 2 produced?

a. 200

b. 175

c. 250

d. 150

How many units of resource 1 are consumed by each unit of product 1 produced?

a. 3

b. 1

c. 2

d. 5

How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2?

a. 750

b. 2500

c. 2750

d. 3250

Explanation / Answer

1) 250

2) a) 2

3) c) 2750

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