The following linear programming problem 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 How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2?

Question

The following linear programming problem 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

The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. X<sub>1</sub> = number of product 1 produced in each batch X<sub>2</sub> = number of product 2 produced in each batch 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

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

Quizplus · Accepted Answer

Based on the given linear programming problem, the profit earned per unit of product 1 is $250 and the profit earned per unit of product 2 is $500. Therefore, if the company produces 10 units of product 1 and 5 units of product 2, the total profit earned will be 10*$250 + 5*$500 = $2750. Hence, the answer is C.

The Following Linear Programming Problem Has Been Written to Plan