The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
What is the storage space constraint?
A)200 K + 100 Q ≤ 18,000
B)200 K + 90 Q ≤ 18,000
C)300 K + 90 Q ≤ 18,000
D)500 K + 100 Q ≤ 18,000
E)100 K + 90 Q ≤ 18,000

Question

Quizplus · Accepted Answer

The storage space constraint is determined by the amount of cubic feet each type of bed requires. King beds require 100 cubic feet and queen beds require 90 cubic feet. Therefore, the constraint for storage space is 100 cubic feet per king bed and 90 cubic feet per queen bed, leading to the equation 100K + 90Q ≤ 18,000.

The Logistics/operations Manager of a Mail Order House Purchases Two