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An online store sells a product for which the daily demand is normally distributed with a mean of 120 units and with a standard deviation

An online store sells a product for which the daily demand is normally distributed with a mean of 120 units and with a standard deviation of 10 units. We assume the source of supply has a constant lead time of 14 days. The cost for placing an order is $75 and the annual holding cost per item is $0.5. There is no stock out cost and we assume that unfilled orders are filled as soon as the orders arrives. Sales operate 365 days/year. The company wants to have a 95% service level of not stocking out during the lead time.

Tables that might be useful for answering the questions (click to open):

Normal Distribution function table Service loss function table

5a. What is the Economic Order Quantity (EOQ)?

Enter the correct value in the input field. Round off to the closest integer.

units incorrect

5b. What Safety Stock level does the company need to reach the desired service level?

Enter the correct value in the input field. Round off to the integer value that makes most sense.

units incorrect

5c. What Re-Order Point (ROP) level does the company need to reach the desired service level?

Enter the correct value in the input field.

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