Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 13, Problem 7CQ

A retailer has two merchandizers, Sue and Bob, who are responsible for setting order quantities for the products they manage. For all of their products, the critical ratio is .7 and the coefficient of variation of their demand forecasts is 0.35. At the end of the season, Sue is proud to report that she has sold the entire inventory she purchased. Bob, on the other hand, sold only about a third of his products. Who is more likely to be choosing quantities that maximize expected profit?

  1. a. Sue because she doesn’t incur the cost of salvaging inventory.
  2. b. Sue because she must have sold more units than Bob.
  3. c. Bob because even leftover inventory generates some additional revenue.
  4. d. Bob because he is probably ordering more than the mean of the demand forecast.
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A retail outlet sells a seasonal product for $10 per unit. The cost of the product is $8 per unit. All units not sold during the regular season for half the retail price in an end-of-season clearance sale. Assume that the demand for the product is uniformly distributed between 200 and 800. a. What is the recommended ordering quantity? b. What is the probability of a stockout using your order quantity in (a)? c. To keep customers happy and returning to the store later, the owner feels that stockouts should be avoided if at all possible. What is your recommended order quantity if the owner is willing to tolerate a 0.15 probability of stockout? d. Using your answer to (c), what is the goodwill cost you are assigning to a stockout?
You are running the supply chain for a grocery store operating across Upstate Souun Carolina. You operate a central warehouse and have multiple stores. For each of the following situations determine if it would be best to operate inventory for the product that is pooled at your central warehouse or determined individually by each retail store. Provide at least 1 sentence discussing your choice. (a) The demand for boxes of Nutty Bars at each store during a week is i.i.d. with mean u = 1000 and standard deviation o = Nutty Bars are high compared to holding costs for Nutty Bars. 10. Transshipment costs between the stores for (b) The demand for Fudge Rounds at each store during a week is i.i.d. with mean u = 200 75. Transhipment costs between the stores for Fudge and standard deviation o Rounds are relatively small compared to holding costs.
An auto parts supplier sells Hardy-brand batteries to car dealers and auto mechanics. The annual demand is approximately 1,200 batteries. The supplier pays $28 for each battery and estimates that the annual holding cost is 30 percent of the battery’s value. It costs approximately $20 to place an order (managerial and clerical costs). The supplier currently orders 100 batteries per month. a)  Determine the ordering, holding, and total inventory costs for the current order quantity. b)  Determine the economic order quantity(EOQ). c)  How many orders will be placed per year using the EOQ? d)  Determine the ordering, holding, and total inventory costs for the EOQ. How has ordering cost changed? Holding cost? Total inventory cost?

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