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Acrosonic of the earlier example also manufactures a model G loudspeaker system in plants I and II. The output at Plant I is at most 800 systems/month whereas the output at Plant II is at most . These loudspeaker systems are also shipped to three warehouses- , and -whose minimum monthly requirements are 500,400 , and 400 , respectively. Shipping costs from Plant I to Warehouse , Warehouse , and Warehouse are , and per system, respectively, and shipping costs from Plant II to each of these warehouses are , and per system, respectively. What shipping schedule will enable Acrosonic to meet the warehouses' requirements and at the same time keep its shipping costs to a minimum?
Solution
VerifiedUse the sketch below to define the nonnegative variables representing the number of units shipped from (Plant I or II) to (Warehouse A,B, or C)
The object is to minimize the cost of shipping, which is, according to the text,
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