XYZ Inc. produces two types of paper towels-regular and super-soaker. Regular uses 2 units of recycled paper per unit of production, and super-soaker uses 3 units of recycled paper per unit of production. The total amount of recycled paper available per month is 10,000 . They also have a binding contract to use at least 8,000 units of recycled paper per month with a local pollution control organization. Let $X_{1}$ be the number of units of regular produced per month and $X_{2}$ the number of units of super-soaker produced per month, the appropriate constraint/s will be
A) $2 X_{1}+3 X_{2} \geq 8000$
B) $2 X_{1}+3 X_{2} \leq 10000$
C) $2 X_{1}+3 X_{2}=10000$
D) A or B but not both
E) A and B

Question

Quizplus · Accepted Answer

The constraints reflect both the minimum usage requirement due to the contract with the local pollution control organization (at least 8,000 units of recycled paper, hence $2X_1 + 3X_2 \geq 8000$) and the maximum availability of recycled paper (cannot exceed 10,000 units, hence $2X_1 + 3X_2 \leq 10000$). Therefore, both A and B are correct and necessary constraints for the problem.

XYZ Inc Produces Two Types of Paper Towels-Regular and Super-Soaker X1X_{1}X1​

XYZ Inc Produces Two Types of Paper Towels-Regular and Super-Soaker $X_{1}$