Concept explainers
A gourmet coffee shop in downtown San Francisco is open 200 days a year and sells an average of 75 pounds of Kona coffee beans a day. (Demand can be assumed to be distributed normally, with a standard deviation of 15 pounds per day.) After ordering (fixed cost = $16 per order), beans are always shipped from Hawaii within exactly 4 days. Per-pound annual holding costs for the beans are $3.
a) What is the economic order quantity (EOQ) for Kona coffee beans?
b) What are the total annual holding costs of stock for Kona coffee beans?
c) What are the total annual ordering costs for Kona coffee beans?
d) Assume that management has specified that no more than a 1% risk during stockout is acceptable. What should the reorder point (ROP) be?
e) What is the safety stock needed to attain a 1% risk of stockout during lead time?
f) What is the annual holding cost of maintaining the level of safety stock needed to support a 1% risk?
g) If management specified that a 2% risk of stockout during lead time would be acceptable, would the safety stock holding costs decrease or increase?
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 12 Solutions
EP PRIN.OF OPERATIONS MGMT.-MYOMLAB
- 1. Calculate Economic Order Quantity (EOQ), number of orders, annual ordering costs, annual carrying costs and total inventory costs from the following: Annual consumption: 6000 units ; Cost of placing one Order: RO 60 Carrying cost per unit: RO 22. Find out the EOQ, Annual ordering cost and annual holding cost from the following information. The demand is 19500 units per year, holding cost is RO 4 per unit for a year and ordering cost is RO 25 order. 3. Find out the ordering cost from the following information, Annual demand is 240 units, holding cost RO 4 per unit for a year and EOQ is 60 units.arrow_forwardPalin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Ordering cost Service probability Annual demand 3,750 mufflers $ 60 92 % per order mufflers per working day per muffler % of item value working days Standard deviation of daily demand Item cost $39.00 working days per year Lead time 3 Working days Annual holding cost Review period 31 250 20 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level b. If the service probability requirement is 92 percent, the optimal target level will: O Stay the same Decrease O…arrow_forwardThomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6,000 units per year. The cost of each unit is $105, and the inventory carrying cost is $8 per unit per year. The average ordering cost is $31 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is a corporate operation, and there are 250 working days per year). a. What is the EOQ?b. What is the average inventory if the EOQ is used?c. What is the optimal number of orders per year?d. What is the optimal number of days in between any two orders?e. What is the annual cost of ordering and holding and holding inventory?f. What is the total annual inventory cost, including cost of the 6,000 units?arrow_forward
- Green Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) Item Number Annual Usage ($) 1 10,600 11 2,750 2 14,000 12 1,400 3 4,000 13 3,200 4 16,000 14 2,500 5 8,100 15 110,000 1,800 16 14,800 7 84,000 17 9,500 8. 890 18 1,700 9 940 19 3,700 10 94,000 20 12,500 a) What would you recommend GGIL to do to cut back its labor cost? (Illustrate using an ABC plan). b) Item 18 is critical to continued operations at GGIL. i. How would you recommend it be classified? ii. Give the reason(s) for your answer.arrow_forwardThomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 5,900 units per year. The cost of each unit is $103, and the inventory carrying cost is $8 per unit per year. The average ordering cost is $29 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 118 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ? units (round your response to two decimal places).arrow_forwardWilliam Beville’s computer training school, inRichmond, stocks workbooks with the following characteristics: Demand D = 19,500 units>yearOrdering cost S = +25>orderHolding cost H = +4>unit>yeara) Calculate the EOQ for the workbooks.b) What are the annual holding costs for the workbooks?c) What are the annual ordering costs?arrow_forward
- Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 5,950 units per year. The cost of each unit is $99, and the inventory carrying cost is $8 per unit per year. The average ordering cost is $31 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 119 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ?units (round your response to two decimal places).arrow_forwardThomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 5,750 units per year. The cost of each unit is $99, and the inventory carrying cost is $8 per unit per year. The average ordering cost is $31 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 115 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ? units (round your response to two decimal places). b) What is the average inventory if the EOQ is used? units (round your response to two decimal places). c) What is the optimal number of orders per year? orders (round your response to two decimal places). d) What is the optimal number of days in between any two orders? days (round your response to two decimal places). e) What is the annual cost of ordering and holding inventory? $ per year (round your response to two…arrow_forwardThomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6,050 units per year. The cost of each unit is $99, and the inventory carrying cost is $11 per unit per year. The average ordering cost is $29 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 121 units. (This is a corporate operation, and there are 250 working days per year). The EOQ is 178.61 The average inventory if the EOQ is used is 89.30 units The optimal number of orders per year is 33.87 orders The optimal number of days in between any two orders= 7.38 days What is the annual cost of ordering and holding inventory? _ per year (round response to two decimal places).arrow_forward
- Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6,050 units per year. The cost of each unit is $99, and the inventory carrying cost is $11 per unit per year. The average ordering cost is $29 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 121 units. (This is a corporate operation, and there are 250 working days per year). The EOQ is 178.61 What is the average inventory if the EOQ is used? _ units (round response to two decimal places).arrow_forwardThomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas's fastest-moving inventory item has a demand of 6,050 units per year. The cost of each unit is $99, and the inventory carrying cost is $11 per unit per year. The average ordering cost is $29 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 121 units. (This is a corporate operation, and there are 250 working days per year). a) What is the EOQ?_ units (round response to two decimal places).arrow_forwardPalin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). $ 35 Ordering cost Service probability Lead time per order 2,970 6. mufflers Annual demand Standard deviation of daily demand mufflers per working day 89 % working days per muffler * of item value working days $21.00 4 Item cost 36 Working days 270 per year Annual holding cost Review period 22 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV) function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level b. If the service probability requirement is 90 percent, the optimal target level will: O Increase O Decrease O Stay…arrow_forward
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285869681/9781285869681_smallCoverImage.gif)