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The Knitting Company (TKC) is planning production for its sweaters that are popular during Christmas The demand

Question

The Knitting Company (TKC) is planning production for its sweaters that are popular during Christmas. The demand

is normally distributed with an expected demand of 8,000 with a standard deviation of 4,000. Currently all sweaters are produced before the start of the season. Production cost is $ 20 per sweater, and they are sold for a wholesale price of $ 35. Any unsold sweaters at the end of the season are discounted to $ 15, and they all sell at that price. It costs $ 2 to hold the sweater in inventory for the entire season if it does not sell.

a. How many sweaters should TKC manufacture?

b. What is the expected profit from this policy?

c. How many sweaters does TKC expect to sell at a discount?

THE KNITTING COMPANY SINGLE-PERIOD INVENTORY PROBLEM
Expected Values
Price, p
Cost, c
Holding cost, h
Salvage value, s Cost of underage
Cost of overage
Critical Ratio
Optimal Order Quantity, O* 35…
Operations Management