Shipping Televisions An electronics discount chain has a sale on a certain brand of 60-in. high-definition television set. The chain has stores in Santa Monica and El Toro and warehouses in Long Beach and Pasadena. To satisfy rush orders, 15 sets must be shipped from the warehouses to the Santa Monica store, and 19 must be shipped to the El Toro store. The cost of shipping a set is $5 from Long Beach to Santa Monica, $6 from Long Beach to El Toro, $4 from Pasadena to Santa Monica, and $5.50 from Pasadena to El Toro. If the Long Beach warehouse has 24 sets and the Pasadena warehouse has 18 sets in stock, how many sets should be shipped from each warehouse to each store to fill the orders at a minimum shipping cost?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 9P: Shipping TelevisionsAn electronics discount chain has a sale on certain brand of 60-in....
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Shipping Televisions An electronics discount chain has a sale on a certain brand of
60-in. high-definition television set. The chain has stores in Santa Monica and El Toro and
warehouses in Long Beach and Pasadena. To satisfy rush orders, 15 sets must be shipped
from the warehouses to the Santa Monica store, and 19 must be shipped to the El Toro
store. The cost of shipping a set is $5 from Long Beach to Santa Monica, $6 from Long
Beach to El Toro, $4 from Pasadena to Santa Monica, and $5.50 from Pasadena to El Toro.
If the Long Beach warehouse has 24 sets and the Pasadena warehouse has 18 sets in stock,
how many sets should be shipped from each warehouse to each store to fill the orders at a
minimum shipping cost?
Transcribed Image Text:Shipping Televisions An electronics discount chain has a sale on a certain brand of 60-in. high-definition television set. The chain has stores in Santa Monica and El Toro and warehouses in Long Beach and Pasadena. To satisfy rush orders, 15 sets must be shipped from the warehouses to the Santa Monica store, and 19 must be shipped to the El Toro store. The cost of shipping a set is $5 from Long Beach to Santa Monica, $6 from Long Beach to El Toro, $4 from Pasadena to Santa Monica, and $5.50 from Pasadena to El Toro. If the Long Beach warehouse has 24 sets and the Pasadena warehouse has 18 sets in stock, how many sets should be shipped from each warehouse to each store to fill the orders at a minimum shipping cost?
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