Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
thumb_up100%
Chapter 5.5, Problem 18P
Summary Introduction
Interpretation:
Additional holding cost.
Concept Introduction:
Lot size-reorder point system is one of the multi periods models. This system is denoted by decision variables (Q, R). This multi period models are implemented when there is uncertain demand in inventory control.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
D and L produces high quality plain colored t-shirts and polo jerseys which it sells at its retail outlets across the island. These products are in high demand throughout the year as many companies and individuals purchase them singly and in bulk to have prints put on them.
At one of the retail outlets, located in Chaguanas, the inventory manager notices that he often runs out of stock of black polo jerseys, more often than he likes. He decides that he would aim for a service probability of 97.5%. He places order every other Friday. Each order for the polos takes 5 days to arrive. Past records have shown that there is a daily demand of 20 with a standard deviation of 4. He would also like to ensure that every time he places an order, that he has in stock, 60 of the black polos on hand. The outlet is opened for 250 days for the year. It costs the outlet $80 dollars to place an order the polos.
What size order should the manager place when ordering the black polos?
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?
H & K Electronic Warehouse sells a 12-pack of AAA batteries, and this is a very popular item. Demand for this is normally distributed, with an average of 50 packs per day and a standard deviation of 16. The average delivery time is 5 days, with a standard deviation of 2 days. Delivery time has been found to be normally distributed. A 96% service level is desired.
What is the standard deviation of demand during the lead time?
How much safety stock should be carried, and what should be the reorder point
Chapter 5 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 4PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 12PCh. 5.5 - Prob. 16PCh. 5.5 - Prob. 18PCh. 5.6 - Prob. 21PCh. 5.7 - Prob. 24P
Ch. 5.7 - Prob. 25PCh. 5.7 - Prob. 26PCh. 5.7 - Prob. 27PCh. 5 - Prob. 28APCh. 5 - Prob. 31APCh. 5 - Prob. 32APCh. 5 - Prob. 33APCh. 5 - Prob. 37APCh. 5 - Prob. 38APCh. 5 - Prob. 40APCh. 5 - Prob. 41APCh. 5 - Prob. 43APCh. 5 - Prob. 44APCh. 5 - Prob. 45APCh. 5 - Prob. 46APCh. 5 - Prob. 47APCh. 5 - Prob. 48APCh. 5 - Prob. 49APCh. 5 - Prob. 50APCh. 5 - Prob. 51AP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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 pointarrow_forwardI 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…arrow_forwardThe 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 quantityarrow_forward
- A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics: > Demand (D) = 2,000 units/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)arrow_forwardAnnual demand for a product is 13,000 units; weekly demand is 250 units with a standard deviation of 40 units. The cost of placing an order is $100, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.65 per unit. To provide a 98 percent service probability, what must the reorder point be? Note: Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places and final answer to the nearest whole number. Suppose the production manager is told to reduce the safety stock of this item by 100 units. If this is done, what will the new service probability be? Note: Use Excel's NORM.S.DIST() function to find the correct probability for your computed z value. Round z value to 2 decimal places and final answer to the nearest whole percent.arrow_forwardYou are running the supply chain for a grocery store operating across Upstate Souun Carolina. You operate a central warehouse and have multiple stores. For each of the following situations determine if it would be best to operate inventory for the product that is pooled at your central warehouse or determined individually by each retail store. Provide at least 1 sentence discussing your choice. (a) The demand for boxes of Nutty Bars at each store during a week is i.i.d. with mean u = 1000 and standard deviation o = Nutty Bars are high compared to holding costs for Nutty Bars. 10. Transshipment costs between the stores for (b) The demand for Fudge Rounds at each store during a week is i.i.d. with mean u = 200 75. Transhipment costs between the stores for Fudge and standard deviation o Rounds are relatively small compared to holding costs.arrow_forward
- The Corner Drug Store fills prescriptions for a popular children’s antibiotic, amoxicillin. The daily demand for amoxicillin is normally distributed, with a mean of 200 ounces and a standard deviation of 80 ounces. The vendor for the pharmaceutical firm that supplies the drug calls the drugstore pharmacist every 30 days to check the inventory of amoxicillin. During a call, the druggist indicated that the store had 60 ounces of the antibiotic in stock. The lead time to receive an order is 4 days. Determine the order size that will enable the drugstore to maintain a 95% service level.arrow_forwardIt takes approximately 2 weeks (14 days) for an order of steel bolts to arrive once the order has been placed. The demand for bolts is fairly constant; on the average, the manager, Michelle Wu, has observed that the hardware store sells 500 of these bolts each day. Because the demand is fairly constant, Michelle believes that she can avoid stockouts completely if she orders the bolts at the correct time. What is the reorder point? The reorder point is? units (enter your response as a whole number).arrow_forwardJill's Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. Widgets are ordered from a supplier who stops by every three weeks. Data for both products are as follows: A. Find the total inventory costs if using inventory policy. This is a case considering safety stock (make sure to use the right formula)arrow_forward
- Using excel. The Metropolitan Bus Company (MBC) purchases diesel fuel from AmericanPetroleum Supply. In addition to the fuel cost, American PetroleumSupply charges MBC $250 per order to cover the expenses of deliveringand transferring the fuel to MBC’s storage tanks. The lead time for anew shipment from American Petroleum is 10 days; the cost of holding agallon of fuel in the storage tanks is $0.04 per month, or $0.48 peryear; and annual fuel usage is 150,000 gallons. MBC buses operate 300days a year.a.What is the optimal order quantity for MBC?b.Howfrequently should MBC order to replenish the gasoline supply?c.TheMBC storage tanks have a capacity of 15,000 gallons. ShouldMBC consider expanding the capacity of its storage tanks?d.What isthe reorder point?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_forwardEOQ, 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.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Inventory Management | Concepts, Examples and Solved Problems; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=2n9NLZTIlz8;License: Standard YouTube License, CC-BY