The Following Linear Programming Problem Has Been Written to Plan

question 22

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 − resource 1}
3 X₁ + 7 X₂ ≤ 175 − resource 2 X₁,X₂ ≥ 0
How many units of resource 1 are consumed by each unit of product 1 produced?

• A)1
• B)2
• C)3
• D)5