Huckaby Motor Services, Inc rebuilds small electrical items such as motors, alternators, and transformers, all using a certain type of copper wire

The firm's demand for this wire is approximately normal, averaging 20 spools per week, with a standard deviation of 6 spools per week. Cost per spool is $24; ordering costs are $25 per order; inventory handling cost is $4.00 per spool per year. Acquisition lead time is four weeks. The company works 50, 5-day weeks per year.
a. What is the optimal size of an order, if minimization of inventory system cost is the objective?
b. What are the safety stock and reorder point if the desired service level is 90%?

Demand is 20 × 50 = 1000 spools per year

a. Q* = = 111.8 Huckaby should order 112 spools at one time.

b. SS = 1.28 × 6 × = 15.36 or about 15 spools. The ROP is thus 204. + 15 = 95 spools.

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