3. Highland's TV-Radio Store must determine how many TVs and radios to keep in stock (the store stocks only TVs and radios). A TV requires 10 sq. ft. of floor space, whereas a radio requires 4 sq. ft; 200 sq. ft. of floor space is available. A TV will earn Highland $60 in profits, and a radio will earn $20. 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 $3000 worth of capital tied up at any time.
3. Highland's TV-Radio Store must determine how many TVs and radios to keep in stock (the store stocks only TVs and radios). A TV requires 10 sq. ft. of floor space, whereas a radio requires 4 sq. ft; 200 sq. ft. of floor space is available. A TV will earn Highland $60 in profits, and a radio will earn $20. 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 $3000 worth of capital tied up at any time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
- Formulate an IP that can be used to maximize Highland’s profit.
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How much more profit could be attained if Highland rented another 50 sq. ft. of floor space? How much should Highland be willing to pay for this extra footage?
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How much more profit could be attained if marketing changed their requirement so that only 40% of all appliances in stock be radios (keeping the floor space at 200 sq. ft.)?
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How much more profit could be attained if Highland was willing to have $3500 worth of capital tied-up (keeping the floor space at 200 sq. ft. and the marketing requirement at 40%)? How should Highland decide if it is worthwhile to increase this value?
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