Question

George is the manager of KFC restaurant in Lawrence, KS. He has learned from the past...

George is the manager of KFC restaurant in Lawrence, KS. He has learned from the past that whenever he ordered supplies from the headquarter in Kentucky, it usually takes 6 days to reach Lawrence. (i.e., the lead time here is 6 days). He just got a notice that the inventory of chicken‐ wings in‐stock now is 2,000. Weekly sales of chicken‐wings is approximately normally distributed with a mean of 1800 and a standard deviation of 360. Assume there are 7 working days in a week.

(a) Characterize the lead time demand distribution for the chicken‐wings (i.e., write down the distribution and its parameters). [10 pts]

(b) If George orders today, is he going to be able to achieve the service level target of 90%? (Show your calculations in order to get credit from this question.) [8 pts]

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