The Following Linear Programming Problem Has Been Written to Plan

question 63

Multiple Choice

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
MAX: ^{150 X}₁ ^{+ 250 X}₂
Subject to: ^{2 X}₁ ^{+ 5 X}₂ ^{≤ 200}
3 X₁ + 7 X₂ ≤ 175 X₁,X₂ ≥ 0
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

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