No Tell Motel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases bath soap for $5.65 per box. The following information is available about these boxes of soap.

Demand = 132 boxes/week

Order cost =$74/order

Annual holding cost = 24 percent of cost

Desired cycle-service level = 95 percent

Lead time = 3 weeks

Standard deviation of weekly demand = 25 boxes

Current on-hand inventory is 159 boxes, with no open orders or backorders.

Definition: Cycle-service level = the probability of not stocking out.

a. What is the EOQ? What would be the average time between orders (in weeks)?

b. What should R be?

c. An inventory withdrawal of 18 boxes was just made. Is it time to reorder?

d. The motel currently uses a lot size of 600 boxes (i.e., Q = 600). What is the annual holding cost of this policy? Annual ordering cost? Without calculating the EOQ, how can you conclude from these two calculations that the current lot size is too large?

e. What would be the annual cost saved by shifting from the 600-box lot size to the EOQ?

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Annual holding cost x CH = $406.80 %3!