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 ≥ 150 B) 4 X₁ + 3 X₂ ≤ 150 C) 4 X₁ + 3 X₂ = 150 D) 4 X₁ ≤ 150

Question

Quizplus · Accepted Answer

Each unit of X₁ requires 4 pounds of resource 1 while each unit of X₂ requires 3 pounds of resource 1. To find the relationship between the two variables and the available resource, we can use the inequality: 4X₁ + 3X₂ ≤ 150 This is because the company cannot use more than 150 pounds of resource 1. Therefore, B is the correct option.

A Company Uses 4 Pounds of Resource 1 to Make