A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged but estimates that if he is short one car for one year, he will lose $20,000 in future profits. Each time the dealer places an order for cars, the ordering cost amounts to $10,000. Question: Find a cycle service level ordering policy that results in a 80% CSL.

A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged but estimates that if he is short one car for one year, he will lose $20,000 in future profits. Each time the dealer places an order for cars, the ordering cost amounts to $10,000. Question: Find a cycle service level ordering policy that results in a 80% CSL.

Name: A Mercedes dealer purchases vehicles for $20,000. The annual holding c
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Description: A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged but estimates that if he is sho

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Chapter16: Lean Supply Chain Management

Section: Chapter Questions

Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...

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A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: If the Mercedes dealer wants to limit backorders so that they occur 20% of the time, what is the maximum number of backorders that should be allowed (assuming the optimal order quantity doesn't change)?
A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: What percent of the time do shortages occur? I've deduced the percent of shortage time to be 25%, but am not sure I've set up my formulas correctly.
Red Lip Cherry (RLC) is a local retailer of cherries. During the cherry seasons, daily demand follows a normal distribution with a mean of 100 pounds and a standard deviation of 10 pounds. RLC purchases its cherries from a local orchard for $12 per pound and sells them for $20 per pound. At the end of business day, any remaining cherries will be sold to a producer of cherry juice for $10 per pound. What is the optimal service level to set? What is the optimal ordering quantity (corresponding to the optimal service level in Q29)?
A Mercedes dealer must pay $20,000 for each car purchased. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He considers the lawsuit to be behind schedule but estimates that if he is short on one car in one year he will lose $20,000 worth of future profits. Each time the dealer places an order for automobiles, the ordering cost adds up to $10,000. Determine the distributor's optimal ordering policy. What is the maximum deficit that will occur? What is the total annual cost?
A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged, but estimates that if he is short one car for one year, he will lose $20,000 in future profits. Each time the dealer places an order for cars, the ordering cost amounts to $10,000. Determine the Mercedes dealer's optimal (?,?) ordering policy.
Arthur Meiners is the production manager for Wheel-Rite, a small manufacturer of metal parts. Wheel-Rite sells 10,378 gear wheels each year. Wheel-Rite setup cost is $45 and maintenance cost is $0.60 per sprocket per year. Wheel-Rite can produce 493 gear wheels per day. The daily demand for the gear wheels is 51 units. Show your work. 1. What inventory management model should we use to solve this problem? Model for discount purchases Model Economic Quantity to Order Model Economic Quantity to Produce Model to handle dependent demand 2. What is the optimal amount of production? Response 3. What is the maximum inventory level of gear wheels that will be in the Wheel-Rite warehouse? Response 4. What is Wheel-Rite's annual setup cost? Response 5. What is the annual cost of maintaining Wheel-Rite? Response
I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…
GameStop has maintained 75% service level for inventory of PlayStation 5. Mean demand during lead time is 166 PlayStations, and the standard deviation during lead time is 58 PlayStations. The annual cost of carrying one PlayStation in inventory is $12. The store’s operations analyst recently told GameStop's management that they could expect a $550 improvement in profit (based on current figures of cost per PlayStation) if the service level were increased to 97.5%. Is it worthwhile for GameStop to make this change?
A Mercedes dealer purchases vehicles for $20,000. The annual holding cost is estimated to be 25% of the dollar value of inventory. The dealer sells an average of 500 cars per year. He believes that demand is backlogged, but estimates that if he is short one car for one year, he will lose $20,000 in future profits. Each time the dealer places an order for cars, the ordering cost amounts to $10,000. What is the (s, Q) ordering policy that results in a 90% CSL?
Surge Electric uses 4,000 toggle switches a year. Switches are priced as follows: 1 to 499, 90cents each; 500 to 999, 85 cents each; and 1,000 or more, 80 cents each. It costs approximately$30 to prepare an order and receive it, and carrying costs are 40 percent of purchase price perunit on an annual basis. Determine the optimal order quantity and the total annual cost.
Problem #2Cassorla’s Clothes sells a large number of white dress shirts. The shirts, which bear the store label,are shipped from a manufacturer in New York City. Hy Cassorla, the proprietor, says, “I want to besure that I never run out of dress shirts. I always try to keep at least a two months’ supply instock. When my inventory drops below that level, I order another two-month supply. I’ve beenusing that method for 20 years, and it works.”The shirts cost $6 each and sell for $15 each. The cost of processing an order and receiving newgoods amounts to $80, and it takes three weeks to receive a shipment. Monthly demand isapproximately normally distributed with mean 120 and standard deviation 32. Assume a 20percent annual interest rate for computing the holding cost.a) What value of Q and R is Hy Cassorla sing to control the inventory of white dress shirts?b) What fill rate (Type 2 service level) is being achieved with the current policy?c) Based on a 99 percent fill rate criterion,…
PM Computers assembles personal computers from generic components. It purchases its color monitors from a manufacturer in Taiwan; thus, there is a long and uncertain lead time for receiving orders. Lead time is normally distributed, with a mean of 25 days and a standard deviation of 10 days. Daily demand is also normally distributed, with a mean of 2.5 monitors and a standard deviation of 1.2 monitors. Determine the safety stock and reorder point corresponding to a 90% service level.