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TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in...

TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in a warehouse in Pittsburgh. Thirty-five are needed in a store in Blairsville, and 40 are needed in a store in Youngstown. It costs $19 to ship from Pittsburgh to Blairsville and $21 to ship from Pittsburgh to Youngstown, whereas it costs $20 to ship from Erie to Blairsville and $25 to ship from Erie to Youngstown. How many televisions should be shipped from each warehouse to each store to minimize the shipping cost? Hint: If the number shipped from Pittsburgh to Blairsville is represented by x, then the number shipped from Erie to Blairsville is represented by 35 ? x. from Pittsburgh to Blairsville televisions from Pittsburgh to Youngstown televisions from Erie to Blairsville televisions from Erie to Youngstown televisions

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Answer #1

The cost of shipping televisions from Pittsburgh to Blairsville ($ 19) is lower than the cost of shipping televisions from Erie to Blairsville ($20) and the cost of shipping televisions from Pittsburgh to Youngstown ( $ 21) is lower than the cost of shipping televisions from Erie to Youngstown ($ 25). The difference in cost of shipping to Youngstown is $ 4, while the difference in cost of shipping to Blairsville is $ 1. Hence, all the 40 televisions needed at Youngstown should be shipped from Pittsburgh.

The remaining 20 televisions from Pittsburgh should be shipped to Blairsville and the remaining 15 televisions needed at Blairsville should be shipped from Erie to minimize the cost of shipping.

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