Question: WEEK 1 2 3 4 5 6 7 8 9 10 Sales 110 115 125 120 125 120 130 115 110 130 A shop is

WEEK 1 2 3 4 5 6 7 8 9 10
Sales 110 115 125 120 125 120 130 115 110 130

A shop is open 5 days per week and 50 weeks per year. The weekly demand for water bottles is normally distributed with an average of 80 bottles per week, and a standard deviation of 10 bottles. Each bottle costs 500 Baisas. Orders cost OMR 2 and the holding rate is 10% per year.

1. Compute the EOQ and the number of orders on average made during the year.

2. The shop owner wishes to maintain a 95% service level. What would be the safety stock, the reorder point and the total cost if:

a) There is a constant lead time of 3 weeks?

b) The average lead time is 2 weeks, with a standard deviation of 1 week?

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