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Highland’s TV-Radio Store must determine how manyTVs and radios to keep in stock. A TV requires 10 sq ft offloorspace, whereas a radio requires 4 sq ft; 200 sq ft offloorspace is available. A TV will earn Highland $60 inprofits, and a radio will earn $20. The store stocks only TVsand radios. Marketing requirements dictate that at least 60%of all appliances in stock be radios. Finally, a TV ties up$200 in capital, and a radio, $50. Highland wants to have atmost $3,000 worth of capital tied up at any time. Formulatean LP that can be used to maximize Highland’s profit

Highland’s TV-Radio Store must determine how manyTVs and radios to keep in stock. A TV requires 10 sq ft offloorspace, whereas a radio requires 4 sq ft; 200 sq ft offloorspace is available. A TV will earn Highland $60 inprofits, and a radio will earn $20. The store stocks only TVsand radios. Marketing requirements dictate that at least 60%of all appliances in stock be radios. Finally, a TV ties up$200 in capital, and a radio, $50. Highland wants to have atmost $3,000 worth of capital tied up at any time. Formulatean LP that can be used to maximize Highland’s profit

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 32P
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Highland’s TV-Radio Store must determine how many
TVs and radios to keep in stock. A TV requires 10 sq ft of
floorspace, whereas a radio requires 4 sq ft; 200 sq ft of
floorspace is available. A TV will earn Highland $60 in
profits, and a radio will earn $20. The store stocks only TVs
and radios. Marketing requirements dictate that at least 60%
of all appliances in stock be radios. Finally, a TV ties up
$200 in capital, and a radio, $50. Highland wants to have at
most $3,000 worth of capital tied up at any time. Formulate
an LP that can be used to maximize Highland’s profit

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