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Problem 2. (65 points) ( s,Q ) Inventory Model Eagle Tech sells its new generation of high-tech glasses and experiences an average monthly demand of

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Problem 2. (65 points) ( s,Q ) Inventory Model Eagle Tech sells its new generation of high-tech glasses and experiences an average monthly demand of 2000 units with a monthly standard deviation of 400 units. The lead time for replenishment is 2 weeks, and the company operates 4 weeks a month and 48 weeks a year. The cost to place an order is $100 for the delivery. The administrative cost of ordering is as low as $10 thanks to an online ordering system. The cost of a pair of high-tech glasses is $250 and the annualized WACC (weighted average cost of capital) for Eagle Tech is 30%. Eagle Tech uses the (s,Q) inventory model to manage its high-tech glasses inventory and determines the order quantity for each order placed according to EOQ. a) (2 points) What is the value of the annual flow rate of AURealm, i.e., R ? b) (1.5 points) What is the value of the setup cost per order for AURealm, i.e., K ? c) (1.5 points) What is the value of the holding cost per widget per year, i.e, h ? d) (5 points) How many pairs of high-tech glasses should Eagle Tech order every time it places an order, i.e., EOQ=2BK ? e) (20 points) If Eagle Tech wants to maintain a service level (SL) of 98%, i.e, Pr(DLs), which means it wants to have enough imventory to meet demand 98% of the time right before an order arrives, what would be the inventory level that Eagle Tech should issue an order, i.e., s=L+zSLL ? f) (10 points) Based on your result in part b, what is the level of pipeline inventory. i.e., average inventory on the truck, t ? g) (10 points) Based on your result in part b, what is the level of safety stock, i.e., SS=zSL+L ? h) (15 points) What is the total annual cost per year in managing the inventory of high-tech glasses, i.e., 0k+h(s+2q)+cR? NOTE: SHOW ALL YOUR WORK. USE 4 DECIMAL PLACES IN ALL CALCULATIONS

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