KRocky Mountain Tire Center sells 13,000 go-cart tires per year. The ordering cost for each order is $35, and theholding cost is 40% of the purchase price of the tires per year. The purchase price is $25 per tire if fewer than 200 tiresare ordered, $19 per tire if 200 or more-but fewer than 8,000-tires are ordered, and $15 per tire if 8,000 or moretires are ordered.a) How many tires should Rocky Mountain order each time it places an order?Rocky Mountain's optimal order quantity isunits (enter your response as a whole number).

Optimal order quantity is the economic order quantity . It is allow the firm to optimize the…

Answered: Rocky Mountain Tire Center sells 13,000…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.4: Simulation With Built-in Excel Tools

Problem 13P

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Rocky Mountain Tire Center sells 20,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year.The purchase price is $20 per tire if fewer than 500 tires are ordered, $18 per tire if 500 or more-but fewer than 1,000- tires a re ordered, and $17 per tire if I ,000 or more tires areordered.a) How many tires should Rocky Mountain order each time it places an order?b) What is the total cost of this policy?
Rocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. Quantity Unit Price 1-499 $20. 500-999 $18. 1000 & over $17 Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level. What value of Z should be applied? How many drives should be carried as safety stock?
Rocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. How many tires should Rocky Mountain order each time it places an order? Quantity Unit Price 1-499 $20. 500-999 $18. 1000 & over $17 Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level. What value of Z should be applied? How many drives should be carried as safety stock?
The manager of a large electronics store wants to begin stocking a universal TV remote control device. Expected daily demand is 25 units (250 working days a year). The remote controls can be purchased from either supplier A or supplier B. Their price lists are as follows: Supplier A Supplier B Quantity Unit price Quantity Unit price 1-199 $14 1-149 $14.1 200-499 $13.8 150-349 $13.9 500+ $13.6 350+ $13.7 Ordering cost is $40 per order and annual holding cost is 25 percent of unit price. Lead time for either supplier is 10 days. Which supplier should be chosen and what kind of inventory ordering policy should be adopted?
Hayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
Hayes Electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters: (a) Both ordering cost and carrying cost are 10% less than originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
The Interstate Carpet Discount Store has annual demand of10,000 yards of Super Shag carpet. The annual carrying costfor a yard of this carpet is $1.25, and the ordering cost is$300. The carpet manufacturer normally charges the store $8per yard for the carpet. However, the manufacturer has offered a discount price of $6.50 per yard if the store will order5000 yards. How much should the store order, and what willbe the total annual inventory cost for that order quantity?
JAL Trading is a Hong Kong manufacturer of electroniccomponents. During the course of a year it requires container cargo space on ships leaving Hong Kong bound forthe United States, Mexico, South America, and Canada.The company needs 280,000 cubic feet of cargo space annually. The cost of reserving cargo space is $7000 and thecost of holding cargo space is $0.80/ft3. Determine howmuch storage space the company should optimally order,the total cost, and how many times per year it should placean order to reserve space
Custom Computers, Inc. assembles custom home computersystems. Th e heat sinks needed are bought for $12 each and areordered in quantities of 1300 units. Annual demand is 5200 heatsinks, the annual inventory holding cost rate is $3 per unit, andthe cost to place an order is estimated to be $50. Calculate thefollowing:(a) Average inventory level(b) Th e number of orders placed per year(c) Th e total annual inventory holding cost(d) Th e total annual ordering cost(e) Th e total annual cost
At Dot Com, a large retailer of popular books, demand isconstant at 20,400 books per year. The cost of placing anorder to replenish stock is $35, and the annual cost of holdingis $6 per book. Stock is received 5 working days after an orderhas been placed. No backordering is allowed. Assume 250working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?
Skinner’s Fish Market buys fresh Boston bluefish daily for $4.10 per pound and sells it for $5.60 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $1.60 per pound. Daily demand can be approximated by a uniform distribution between 180 and 350 pounds. The optimal order quantity is pounds (round your response to the nearest integer).
Custom Computers, Inc. assembles custom home computer systems. The heat sinks needed are bought for $12 each and are ordered in quantities of 1300 units. Annual demand is 5200 heat sinks, the annual inventory holding cost rate is $3 per unit, and the cost to place an order is estimated to be $50. Calculate the following: (a) Average inventory level (b) The number of orders placed per year (c) The total annual inventory holding cost (d) The total annual ordering cost (e) The total annual cost

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