An item is stored in 8 warehouses with an understocking cost of $0.49 and an overstocking cost of $0.02. The demand per warehouse is normally distributed with an average bi-weekly demand of 54.2 and standard deviation of 21.4. The item is reviewed every two weeks and the order lead time is one week. What is the required safety stock per warehouse? Round your answer to the nearest integer.

An item is stored in 8 warehouses with an understocking cost of $0.49 and an overstocking cost of $0.02. The demand per warehouse is normally distributed with an average bi-weekly demand of 54.2 and standard deviation of 21.4. The item is reviewed every two weeks and the order lead time is one week. What is the required safety stock per warehouse? Round your answer to the nearest integer.

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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The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.
The materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?
Catlea Merchandising is engaged in selling school shoesfor both boys and girls in their teenage years. Catlea needs 32,000 pairs of shoes in a year in order to satisfy the market demand. It costs ₱ 48 to place an order while ₱ 8 is needed to hold each quantity of shoe in Catlea's inventory. Upon checking on Catlea's supplier, it takes 8 days in between placing an order and eventually receiving it. a. Determine the Economic Order Quantityb. Determine the number of order per monthc. Determine the reorder point
Alina Limited is a manufacturer of widgets orders components for use in manufacturing. The estimated demand for the components during the coming year is 15,000. Order costs are $100 per order; carrying costs are $12 per component. Using the economic order quantity model What is Alina Ltd’s optimum order quantity? If the supplier guarantees a three (3) day delivery on any order that is placed, What is the re-order point?
You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.30. Daily demand is distributed normally with mean = 260 and standard deviation = 46. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? Note: Use Excel's NORM.S.INV() function to find the z value. Round your z value and service level to 2 decimal places and final answer to the nearest whole number. Optimal order quantity b. Based on a, what is the probability that you will run out of stock? Note: Round your answer to the nearest whole percent. Probability %
You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean 5 250 and standard deviation 5 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? b. Based on part (a), what is the probability that you will run out of stock?
52 Demand for an item is 3,800 units per year. Each order placed costs $15; the annual cost to carry items in inventory is $10 each. In what quantities should the item be ordered? Note: Round your answer to the nearest whole number.
ou are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.50 a copy. You sell a copy of the San Pedro Times for $1.25. Daily demand is distributed normally with mean = 335 and standard deviation = 67. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. How many copies of the San Pedro Times should you buy each morning and what is the probability that you will run out of stock? Use Excel's NORM.S.INV() function to find the z value.
EOQ, reorder point, and safety stock Alexis Company uses 937units of a product per year on a continuous basis. The product has a fixed cost of $44 per order, and its carrying cost is $4 per unit per year. It takes 5 days to receive a shipment after an order is placed, and the firm wishes to hold 10 days' usage in inventory as a safety stock. a. Calculate the EOQ. b. Determine the average level of inventory. (Note: Use a 365-day year to calculate daily usage.) c. Determine the reorder point. d. Indicate which of the following variables change if the firm does not hold the safety stock: (1) order cost, (2) carrying cost, (3) total inventory cost, (4) reorder point, (5) economic order quantity.
In a two-bin inventory system, the demand for three-inch lag bolts during the 2-week lead time is normally distributed, with an average of 53 units per week. The standard deviation of weekly demand is 5 units. a. What is the probability of demand exceeding the reorder point when the normal level in the second bin is set at 130 units? b. What is the probability of demand exceeding the 130 units in the second bin if it takes 3 weeks to receive a replenishment order?
A drugstore uses fixed-order cycles for many of the items it stocks. The manager wants a service level of .99. The order interval is 12 days, and lead time is 4 days. Average demand for one item is 63 units per day, and the standard deviation of demand is 6 units per day. Given the on-hand inventory at the reorder time for each order cycle shown in the following table. Use Table. Cycle On Hand 1 38 2 10 3 93 Determine the order quantities for cycles 1, 2, and 3: (Round your answers to the nearest whole number) Cycle Units 1 1019 Numeric ResponseEdit Unavailable. 1019 incorrect. 2 1047 Numeric ResponseEdit Unavailable. 1047 incorrect. 3 964 Numeric ResponseEdit Unavailable. 964 incorrect.
A company operates for 50 weeks a year and uses a fixed quantity inventory system for one of its most important items. Below are the characteristics for the item: Weekly demand follows normal distribution: mean of 400 units and standard deviation of 100 units Order Cost = $40 per order Annual Holding cost = $2/unit/year Desired service level = 95% (z = 1.645) Lead Time = 4 weeks Economic Order Quantity (EOO) = 894 units Now suppose that the management is considering switching to a fixed time inventory system where the time between orders is 2 weeks. Everything else being the same as the information provided for the original problem, which system (Q or P system) is likely to have more safety stock? Please explain why.