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- One item a computer store sells is supplied by a vendor who handles only that item. Demand forthat item recently changed, and the store manager must determine when to replenish it. The managerwants a probability of at least 96 percent of not having a stockout during lead time. The managerexpects demand to average a dozen units a day and have a standard deviation of two units a day.Lead time is variable, averaging four days with a standard deviation of one day. Assume normalityand that seasonality is not a factor.a. When should the manager reorder to achieve the desired probability?b. Why might the model not be appropriate if seasonality were present?An item has normally distributed demand with a mean of 100 and a standard deviation of 50. They order a week with one week lead time. Backorders are allowed. A) With an order-up-to level of 300, on-hand inventory of 200, and on-order inventory of 60, how much will be ordered this week? B) What is the standard deviation of demand over 2 weeks?Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.
- A product's demand in cach period follows a Normal distribution with mean of 50 and standard deviation of 6. The order up to level S is 225. Lead time is 3 periods. What is the Expected On hand Inventory? Show all formulas used. calculations and results. What is the stock out probability ? Show all formulas used, calculations and results.A hospital must order the drug Porapill from DaisyDrug Company. It costs $500 to place an order and $30 toreview the hospital’s inventory of the drug. Annual demandfor the drug is N(10,000, 640,000), and it costs $5 to holdone unit in inventory for one year. Orders arrive one monthafter being placed. Assume that all shortages are backlogged.a Estimate R and the number of orders per year thatshould be placed.b Using the answer in part (a), determine the optimal(R, S) inventory policy. Assume that the shortage costper unit of the drug is $100.Among the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stock
- Your firm uses a periodic review system for all SKUs classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUs classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item’s current characteristics are:Demand 1D2 = 15,080 units/yearOrdering cost 1S2 = $125.00/orderHolding cost 1H2 = $3.00/unit/yearLead time 1L2 = 5 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 64 units.a. Calculate the item’s EOQ.b. Use the EOQ to define the parameters of an appropriate continuous review and periodic review system for this item.c. Which system requires more safety stock and by how much?Reorder PointConsider an economic order quantity case where annual demand D = 1,000 units, economic order quantity Q = 200 units, the desired probability of not stocking out P = .95, the standard deviation of demand during lead time σL = 25 units, and lead time L = 15 days. Determine the reorder point. Assume that demand is over a 250-workday year.Inventory manager of a retail store wants to order plastic Easter eggs, demand for which is highly seasonal. Easter eggs come in a special value box (250 eggs per box). The manufacturer is located in China, so a long lead time required to receive the orders. After the order is placed, eggs will arrive just in time before the Easter Holiday. Therefore, if stocks out, the inventory manager will not be able to place a second order. The demand follows a normal distribution with a mean of 4,000 boxes and a standard deviation of 500 boxes. Each ordered special value box will cost $3 and will retail at $7. Leftover eggs will be salvaged at $2 per box after the Easter Holiday. Customer goodwill cost is estimated to be $0.934 for each lost sale. Find optimal order quantity and Expected Sold (Assume f_u(z)=0.25). Group of answer choices Cannot be calculated using the information given Q*=4,480 boxes, E[Sold]=4,000 boxes Q*=3,956 boxes, E[Sold]=4,480 boxes Q*=4,480 boxes, E[Sold]=3,956…
- What is the average demand and standard deviation of demand during the protextion interval? the target inventory ? the order quantity ?A retailer uses the order-up-to model to manage inventory of an item in a store. The leadtime for replenishments is four weeks and it can place orders weekly. Weekly demand isPoisson with mean 0.10 unit. Its order-up-to level is five and unfilled demand is backordered. What is the coefficient of variation of its orders?[item no. 11] In a single period inventory model, the demand is assumed to follow a normal distribution. The value of ML/(ML+MP) is 0.6. The company used marginal analysis with the normal distribution to determine the optimal stocking level X*. If the mean demand is 100, then X* a. is less than 100 b. is equal to 100 c. cannot be determined from the information given d. is greater than 100