The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) an queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen be 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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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?
O 200K+90Q ≤ 18,000
O 100K+90Q ≤ 18,000
O 300K+ 90Q ≤ 18,000
O 500K+ 1000 ≤ 18,000
O 200K+ 100Q ≤ 18,000
Transcribed Image Text: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? O 200K+90Q ≤ 18,000 O 100K+90Q ≤ 18,000 O 300K+ 90Q ≤ 18,000 O 500K+ 1000 ≤ 18,000 O 200K+ 100Q ≤ 18,000
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