SOLUTION: 5) An electronics discount chain has a sale on a certain brand of stereo. The chain has stores in Batu Pahat and Malacca and warehouses in Selangor and Seremban. To satisfy rush or

Question 927413: 5) An electronics discount chain has a sale on a certain brand of stereo. The chain has stores in Batu Pahat and Malacca and warehouses in Selangor and Seremban. To satisfy rush orders, 15 sets must be shipped from the warehouses to the Batu Pahat store, and 19 must be shipped to the Malacca store. The cost of shipping a set is RM5 from Selangor to Batu Pahat, RM6 from Selangor to Malacca, RM4 from Seremban to Batu Pahat, and RM5.50 from Seremban to Malacca. If the Selangor warehouse has 24 sets and the Seremban 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?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the following simplex calculator was used.
http://www.zweigmedia.com/RealWorld/simplex.html

a is batu pahat
b is malacca

1 is selangor
2 is seramban

a1 is batu pahat to selangor at cost of 5
a2 is batu pahat to seremban at a cost of 4
b1 is malacca to selangor at a cost of 6
b2 is malacca to seremban at a cost of 5.5

minimum cost is 172 when:

a1 = 0
a2 = 15
b1 = 16
b2 = 3

i got the same results using excel.

here's the results and the inputs from the simplex calculator.

$$$

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