The operations manager of a mail order house purchases double (D) and twin (T) beds for resale. Each double bed costs $500 and requires 100 cubic feet of storage space. Each twin 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 double bed is $300 and for each twin bed is $150.
-What is the storage space constraint?
A)100D + 100T $\le$ 18,000.
B)100D + 90T $\ge$ 18,000.
C)300D + 90T $\le$ 18,000.
D)500D + 100T $\le$ 18,000.
E)100D + 90T $\le$ 18,000.

Question

Quizplus · Accepted Answer

The storage space constraint is based on the cubic feet required for each bed type. Double beds require 100 cubic feet and twin beds require 90 cubic feet. The total storage space available is 18,000 cubic feet, so the constraint is 100D + 90T ≤ 18,000.

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