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Question: the harmon music company produces a variety of wind instruments...

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The Harmon Music Company produces a variety of wind instruments in its plant in Joliet, Illinois. Because the company is relatively small, it would like to minimize the amount of money tied up in inventory, by matching production with demand to the extent permissible. One of the instruments produced is the model 85C trumpet, which retails for $400. Based on orders from music stores around the country and online sales, the anticipated demand for an eight-week planning horizon are 62, 52, 42, 22, 36, 92, 55, 24. Assume that h = $1/unit/week and A = $100/order. Find the optimal production schedule. How many trumpets are ordered in week 6?

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