Question: Problem 13: Sam's Cat Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter

Problem 13: Sam's Cat Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $11.70 per bag. The following information is available about these bags.

Demand = 90 bags/week

Order Cost= $54/0rder

Annual Holding cost = 27% of cost

Desired cycle-service level = 80%

Lead time = 3 weeks (18 working days)

Standard deviation of weekly demand = 15 bags

Current on-hand inventory is 320 bags, with no open orders or backorders.

Suppose that Sam's Cat Hotel in Problem 13 uses a P system instead of a Q system. The average weekly demand is d = 90 bags and the standard deviation of the weekly demand is = 15 bags.

a. What P (in weeks) and T should be used to approximate the cost trade-offs of the EOQ?

b. How much more safety stock is needed than with a Q system?

c. It is time for the periodic review. How much kitty litter should be ordered?"

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