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Problem: [s,O] Inventory Model tailer sells umbrellas and experiences demand that follows a normal distribution with a weekly mean of 1013 umbrellas and a weekly standard deviation of 20 umbrellas. The cost of each umbrella is $15 and the annualized WACC [weighted average cost of capital} for tailer is 20%. Once an order is issued, it is delivered in 5 days. tailer works for SCI weeks a year. tailer uses [s,O} model to manage its umbrella inventory and determines the order quantity for each order placed according to EOO. a) How many umbrellas should tailer order every time it places an order? b} It tailer would like to be in stock 95% of all reorder periods; what would be the inventory level that tailer should issue an order? cjl Based on your result in part b. what is the level of pipeline inventory? d] Based on your result in part b, what is the level of safety stock? e) What is the total annual cost per year in managing this umbrella inventory? SHOIJI.Ir ALL YOUR WORK & USE 4 DECIMAL PLACES IN ALL CALCULATIONS