A company uses 4 pounds of resource 1 to make each unit of X₁ and 3 pounds of resource 1 to make each unit of X₂. There are only 150 pounds of resource 1 available. Which of the following constraints reflects the relationship between X₁, X₂ and resource 1? A)4 X₁ + 3 X₂ $\ge$150 B)4 X₁ + 3 X₂ $\le$ 150 C)4 X₁ + 3 X₂ = 150 D)4 X₁ $\le$ 150

Question

Quizplus · Accepted Answer

The constraint should limit the use of resource 1 to 150 pounds, which means the total amount of resource 1 used in making X₁ and X₂ should be less than or equal to 150 pounds. Therefore, the correct constraint is 4 X₁ + 3 X₂ ≤ 150, which can be rewritten as 4 X₁ + 3 X₂ F1F1F1S1F1F1F10 150. The answer is B.

A Company Uses 4 Pounds of Resource 1 to Make ≥\ge≥

A Company Uses 4 Pounds of Resource 1 to Make $\ge$