The Following Linear Programming Problem Has Been Written to Plan

question 28

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
$$\begin{array} { l l } \text { MAX: } & 150 X _ { 1 } + 250 X _ { 2 } \\\text { Subject to: } & 2 X _ { 1 } + 5 X _ { 2 } \leq 200 - \text { resource 1 } \\& 3 X _ { 1 } + 7 X _ { 2 } \leq 175 - \text { resource } 2 \\& X _ { 1 } , X _ { 2 } \geq 0\end{array}$$ How many units of resource 1 are consumed by each unit of product 1 produced?

• A) 1
• B) 2
• C) 3
• D) 5