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It is your responsibility, as the new head of the automotive section of Nichols

ID: 355172 • Letter: I

Question

It is your responsibility, as the new head of the automotive section of Nichols Department Store, to ensure that reorder quantities for the various items have been correctly established. You decide to test one item and choose Michelin tires, XW size 185 × 14 BSW. A perpetual inventory system has been used, so you examine this as well as other records and come up with the following data:

A. Determine the ordery quantity.

B. Determine the reorder point.

days

Cost per tire $ 50 each Holding cost 25 percent of tire cost per year Demand 1,100 per year Ordering cost $ 32 per order Standard deviation of daily demand 7 tires Delivery lead time 8

days

Explanation / Answer

Annual demand (D) = 1100 tires

Ordering cost (S) = $32 per order

Holding cost (H) = 25% of cost = 25% of $50 = $12.5

Lead time (L) = 8 days

Assuming 365 days per year, Average daily demand (d) = D/365 days = 1100/365 = 3.01 tires

a) Economic order quantity = sqrt of (2DS/H)

= sqrt of [(2 x 1100 x 32) / 12.5]

= sqrt of 5632

= 75.05 or rounded to 75 tires

b) Reorder point = d x L = 3.01 x 8 = 24.08 or rounded to 24 units

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