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?

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?

Name: The Interstate Carpet Discount Store has annual demand of10,000 yards
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Description: 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 th

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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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.
Demand for a product is relatively constant at 5 units per day. Lead time for this product is normally distributed with a mean of 20 days and a standard deviation of 4 days. (a) What reorder point provides an 80 percent service level? (b) What reorder point provides a 90 percent service level? (c) If the lead time standard deviation can be reduced from 4 days to 1, what reorder point now provides 90 percent service? How much is safety stock reduced by this change?
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.
The TransCanada Lumber Company and Mill processes10,000 logs annually, operating 250 days per year. Immediately upon receiving an order, the logging company’ssupplier begins delivery to the lumber mill at the rate of 60logs per day. The lumber mill has determined that the ordering cost is $1600 per order, and the cost of carrying logsin inventory before they are processed is $15 per log on anannual basis. Determine the following:a. The optimal order sizeb. The total inventory cost associated with the optimalorder quantityc. The number of operating days between ordersd. The number of operating days required to receive anorde
A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to answer the following questions. a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r. b) Find the constraint function. c) Determine the economic order quantity that minimizes the inventory cost and then find the minimum inventory cost. X=__________ C=$___________
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.
Rapallo Sneakers, Inc. sells a pair of LG sneakers for $42. Due to the recent fitness craze, these shoes are in high demand: 52 pairs of shoes are sold per week. The ordering cost is $42 per order, and the annual holding cost is 25 percent of the selling price. If the store operates 48 weeks a year, what can you say about the size of the current order quantity of 225 pairs?
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?
The carrying cost curve and ordering cost curve of Inc.’s inventory intersect at 3,500 units. What is the total annual cost of inventory given that the annual demand is 75,000 units and the carrying cost per unit per year is P12.
The average daily demand and standard deviation of daily demand for a product is 800 and 12 respectively. Replenishment lead time from the supplier in 4 days. The fixed cost and holding st are $15,000 and $18, respectively.If the service level is 95% then calculate a) Average demand during lead time b) Safety stock c) Reorder level d) Order quantity
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)?
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?