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Question
A small coffee shop consumes on average 5000 bags of their most popular coffee beans each month. Demand is normally distributed with standard deviation of the monthly demand being 200 bags. The shop pays $12 for each bag to the supplier. The cost of ordering and receiving shipments is $15 per order. Accounting estimates annual inventory carrying cost is 30% of its value. The supplier lead time is a constant of 2 operating days. The shop operates 240 days per year, i.e., the shop operates 20 days each month. Each order is received from the supplier in a single delivery. The coffee shop uses continuous review (i.e., fixed-order quantity) inventory system and pays the supplier when the order is delivered (i.e., cash on delivery). There are no quantity discounts. Please keep two decimal places in all your calculations n show right formula
1. The coffee shop manager worries that the safety stock of bags is too low and ask for your advice. What should be the safety stock if the coffee shops maintains a service level of 95%?
2. What is the reorder point if the coffee shop maintains a service level of 95%?
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