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A drugstore uses fixed-order cycles for many of the items it stocks. The manager

ID: 349273 • Letter: A

Question

A drugstore uses fixed-order cycles for many of the items it stocks. The manager wants a service level of .98. The order interval is 12 days, and lead time is 3 days. Average demand for one item is 70 units per day, and the standard deviation of demand is 3 units per day. Given the on-hand inventory at the reorder time for each order cycle shown in the following table.
Use Table.

  
Determine the order quantities for cycles 1, 2, and 3: (Round your answers to the nearest whole number)

Cycle On Hand 1 35 2 10 3 100

Explanation / Answer

Service level = .98 , Z-value from probability table = 2.05

Order interval , OI = 11 days

Lead time, LT = 2 days

Demand, d= 70/day

?d= 5/day

A= At hand units

Order quantity formula = d (OI + LT) + Z?d (OI+LT)1/2 - A = 70 * 13 + 2.05 (5) * ?13 - 35 = 910+ 36.95 -35 = 912 units

Similary, for Cycle 2 = 70 * 13 + 2.05 (5) * ?13 - 10 = 910 + 36.95 - 10 = 937 units

And for Cycle 3 = 70 * 13 + 2.05 (5) * ?13 - 100 = 910+36.95 - 100 = 847 units

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