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
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  1. Formulate an IP that can be used to maximize Highland’s profit. 
  2. 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?

  3. 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.)?

  4. 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?

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.
Transcribed Image Text: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.
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