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. For every Queen Size Matress purchased, they need to purchase at least twice as many King Size Mattresses. Profit for each King Bed is $300, and for each Queen Bed is $150. Maximize Z = $ 150 Subject to: Storage Available Money Available $ 300 At least Twice as many Kings as Queens KOS A/ Q A/ A/ A/ K+ Q<= A/ A K+ $ A K+ $ A Q<= $ A/ K >= Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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. For every Queen Size Matress purchased, they need to purchase at least twice
as many King Size Mattresses. Profit for each King Bed is $300, and for each Queen Bed is $150.
Maximize Z = $
150
Subject to:
Storage Available
Money Available
$
300
At least Twice as many Kings as Queens
KOS
A/ Q
A/
A/
A/
K+
Q<=
A/
A K+ $
A K+ $
A Q<= $
A/
K >= Q
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. For every Queen Size Matress purchased, they need to purchase at least twice as many King Size Mattresses. Profit for each King Bed is $300, and for each Queen Bed is $150. Maximize Z = $ 150 Subject to: Storage Available Money Available $ 300 At least Twice as many Kings as Queens KOS A/ Q A/ A/ A/ K+ Q<= A/ A K+ $ A K+ $ A Q<= $ A/ K >= Q
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