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 21 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 22 sets and the Pasadena warehouse has 20 sets in stock, how many sets should be shipped from each warehouse to each store to fill the orders at a minimum shipping cost?

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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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 21 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 22 sets and the Pasadena warehouse has 20 sets in stock, how many sets should be shipped from each warehouse to each store to fill the orders at a minimum shipping cost?

Long Beach to Santa Monica       sets
Long Beach to El Toro       sets
Pasadena to Santa Monica       sets
Pasadena to El Toro   sets

 

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