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

We need to find the value of the objective function given in the question for the values of X₁ = 10 and X₂ = 5. Profit = 200X₁ + 300X₂ Substituting the values, we get: Profit = (200*10) + (300*5) Profit = 2000 + 1500 Profit = 3500 Therefore, if the company produces 10 units of product 1 and 5 units of product 2, the profit earned would be $3500. The best choice is C.

The Following Linear Programming Problem Has Been Written to Plan