Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock. A one-week lead time is required to fill the order. Demand for one particular part during the five-week replenishment period is normally distributed with a mean of 18 units and a standard deviation of 6 units. a. At a particular periodic review, 8 units are in inventory. The parts manager places an order for 16 units. What is the probability that this part will hav stock-out before an order that is placed at the next four-week review period arrives? If required, round your answer to four decimal places. b. Assume that the company is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many parts should the manager have ordered in part (a)? If required, round your answer to the nearest whole number. The manager should have ordered units. What is the replenishment level for the four-week periodic review system? What is the replenishment level for the four-week periodic review system? The replenishment level for the four-week periodic review system is

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Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock. A one-week lead time is required to fill the order.
Demand for one particular part during the five-week replenishment period is normally distributed with a mean of 18 units and a standard deviation of 6
units.
a. At a particular periodic review, 8 units are in inventory. The parts manager places an order for 16 units. What is the probability that this part will have a
stock-out before an order that is placed at the next four-week review period arrives? If required, round your answer to four decimal places.
b. Assume that the company is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many parts should the
manager have ordered in part (a)? If required, round your answer to the nearest whole number.
The manager should have ordered
units.
What is the replenishment level for the four-week periodic review system? What is the replenishment level for the four-week periodic review system?
The replenishment level for the four-week periodic review system is
Transcribed Image Text:Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock. A one-week lead time is required to fill the order. Demand for one particular part during the five-week replenishment period is normally distributed with a mean of 18 units and a standard deviation of 6 units. a. At a particular periodic review, 8 units are in inventory. The parts manager places an order for 16 units. What is the probability that this part will have a stock-out before an order that is placed at the next four-week review period arrives? If required, round your answer to four decimal places. b. Assume that the company is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many parts should the manager have ordered in part (a)? If required, round your answer to the nearest whole number. The manager should have ordered units. What is the replenishment level for the four-week periodic review system? What is the replenishment level for the four-week periodic review system? The replenishment level for the four-week periodic review system is
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