A large automobile repair shop installs about 1,250 mufflers per year, 18 percentof which are for imported cars. All the imported-car mufflers are purchased froma single local supplier at a cost of $18.50 each. The shop uses a holding cost basedon a 25 percent annual interest rate. The setup cost for placing an order is estimated to be $28.a. Determine the optimal number of imported-car mufflers the shop should purchase each time an order is placed, and the time between placement of orders.b. If the replenishment lead time is six weeks, what is the reorder point based onthe level of on-hand inventory?c. The current reorder policy is to buy imported-car mufflers only once a year.What are the additional holding and setup costs incurred by this policy?

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Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
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Problem 7E: Ottis, Inc., uses 640,000 plastic housing units each year in its production of paper shredders. The...
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A large automobile repair shop installs about 1,250 mufflers per year, 18 percent
of which are for imported cars. All the imported-car mufflers are purchased from
a single local supplier at a cost of $18.50 each. The shop uses a holding cost based
on a 25 percent annual interest rate. The setup cost for placing an order is estimated to be $28.
a. Determine the optimal number of imported-car mufflers the shop should purchase each time an order is placed, and the time between placement of orders.
b. If the replenishment lead time is six weeks, what is the reorder point based on
the level of on-hand inventory?
c. The current reorder policy is to buy imported-car mufflers only once a year.
What are the additional holding and setup costs incurred by this policy?

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