Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 14, Problem 19CQ
Summary Introduction
To identify: The main benefit of reducing the lead time.
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A newsvendor orders the quantity that maximizes expected profit for two products, X and Y. The critical ratio for both products is .8. The demand forecast for both products is 9000 units and both are normally distributed. Product X has more uncertain demand in the sense that it has the larger standard deviation. Of which of the two products does the newsvendor order morea. Product X because it has less certain demand. b. Product Y because it has more certain demand. c. The order quantities are the same because they have the same critical ratio. d. More information is needed to determine which has the higher order quantity.
Daily demand of a chemical at an oil refinery is normally distributed with a mean of 60 litres and a standard deviation of 7. The supplier reliably delivers the chemical by maintaining a constant lead time of 1 week. There are no delivery charges from the supplier. Sales occur throughout the year.
An order placement requires one hour of an administrative employee who is paid $20 per hour. Receiving and storing a chemical shipment requires two workers to work for half an hour. Workers are paid $12 per hour each. Chemical’s purchase price is $500 per litre. Annual cost of capital is 5%. Other holding costs are estimated to be $0.5 per litre.
Find the order quantity and the reorder point to satisfy a 95% service level during the lead time.
(Round answers to 2 decimal places.)
A retailer uses the order-up-to model to manage inventory of an item in a store. The leadtime for replenishments is four weeks and it can place orders weekly. Weekly demand isPoisson with mean 0.10 unit. Its order-up-to level is five and unfilled demand is backordered. What is the coefficient of variation of its orders?
Chapter 14 Solutions
Operations Management
Ch. 14 - Demand in each period follows the same normal...Ch. 14 - Prob. 2CQCh. 14 - For products with slow-moving demandfor example,...Ch. 14 - Prob. 4CQCh. 14 - Prob. 5CQCh. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - If the target in-stock probability increases, then...Ch. 14 - Prob. 10CQ
Ch. 14 - Prob. 11CQCh. 14 - Prob. 12CQCh. 14 - Prob. 13CQCh. 14 - Prob. 14CQCh. 14 - Prob. 15CQCh. 14 - Prob. 16CQCh. 14 - Prob. 17CQCh. 14 - Prob. 18CQCh. 14 - Prob. 19CQCh. 14 - Prob. 1PACh. 14 - Prob. 2PACh. 14 - Prob. 3PACh. 14 - You are the owner of Hotspices.com, an online...Ch. 14 - Prob. 5PACh. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 1CCh. 14 - Prob. 2CCh. 14 - Prob. 3CCh. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...Ch. 14 - CASE WARKWORTH FURNITURE1 Warkworth Furniture...
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- You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-findspices. Consider your inventory of saffron, a spice (generally) worth more by weightthan gold. You order saffron from an overseas supplier with a shipping lead time of fourweeks and you order weekly. Average weekly demand is normally distributed with amean of 40 ounces and a standard deviation of 30 ounces.a. Suppose it uses an order-up-to level of 301 ounces. What is its expected on-hand inventory? b. Suppose it uses an order-up-to level of 250 ounces. What is its expected on-order inventory? c. Suppose it uses an order-up-to level of 368 ounces. What is its in-stock probability? d. Suppose it wants a .96 in-stock probability. What should its order-up-to level be?arrow_forwardOrder-up to model is that have been ordered but have not been received. Order up to level is when stock levels are periodically reviewed, and an amount of the item is ordered to return stock levels to the target level. Which of the following is true about the order-up to model? A. It prevents a company from being out of stock B. It is useful for a goods with a short shelf life C. As lead time decreases, inventory levels will decrease.arrow_forwardA change in which of the following results in a change in the maximum profit in a newsvendor setting? a. The revenue received from salvaging inventoryb. The regular selling price of the productc. The standard deviation of the demand forecastd. The coefficient of variation of the demand forecastarrow_forward
- Please do not give solution in image formate thanku. A given product has an expected demand of 240 units per month, with a standard deviation of 70 units per month. Leadtime is 0.5 months. Customer service level (CSL) has been set so that we have a value of k=1.28. We want to manage this product's inventory using a (R, S) periodic review policy. We plan to order every 2 months (R = 2 months). Using the k value from above, what is the order up to level, S, for this policy? Give your answer rounded to the closest integer. Since orders are placed every 2 months, and the demand is variable, the order quantities are not identical. But we can estimate an average order size. What is the expected average order size for the policy described above? Under this policy, how many orders are placed per year? Placing each order costs $100. What is the annual ordering cost?arrow_forwardA company uses the newsvendor model to manage its inventories and faces normallydistributed demand with a coefficient of variation of 0.75. The company decides toorder a quantity that exactly equals the mean of its demand forecast. Which of the following is true regarding this company’s performance measures? a. There is a .50 probability that there is enough inventory to serve all demand.b. Expected inventory equals 50 percent of the mean of the demand forecast.c. The stockout probability is .25.d. Expected inventory is 0.arrow_forwardThe materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are remarrow_forward
- A firm manages its inventory with an order-up-to model. Each period is one day, thelead time is two days, the order-up-to level is 10, and its inventory position at the start ofa day (before it submits an order for that day) is –4. Which of the following statementsis definitely true? a. Demand was four units yesterday.b. Demand was 10 units yesterday.c. There are at least four units backordered.d. There are 14 units on order before it orders today.e. After today’s order, there will be 14 units on order.f. It will receive more inventory todayarrow_forwardThis type of problem can be recognized when an order interval is given (e.g.,inventory is ordered every 10 days) along with the demand rate, lead time, and quantity on hand atorder time. A lab orders a number of chemicals from the same supplier every 30 days. Lead time is five days.The assistant manager of the lab must determine how much of one of these chemicals to order. Acheck of stock revealed that eleven 25-milliliter (ml) jars are on hand. Daily usage of the chemical isapproximately normal with a mean of 15.2 ml per day and a standard deviation of 1.6 ml per day. Thedesired service level for this chemical is 95 percent.a. How many jars of the chemical should be ordered?b. What is the average amount of safety stock of the chemical?arrow_forwardA company begins a review of ordering policies for its continuousreview system by checking the current policies for asample of SKUs. Following are the characteristics of one item.Demand 1D2 = 64 units>week 1Assume 52 weeks per year2Ordering or setup cost 1S2 = $50>orderHolding cost 1H2 = $13>unit>yearLead time 1L2 = 2 weeksStandard deviation of weekly demand = 12 unitsCycle@service level = 88 percenta. What is the EOQ for this item?b. What is the desired safety stock?c. What is the reorder point?d. What are the cost implications if the current policy for this item is Q = 200 and R = 180?arrow_forward
- Vetox sells industrial chemicals. One of their inputs can be purchased in either jugs orbarrels. A jug contains one gallon, while a barrel contains 55 gallons. The price pergallon is the same with either container. Vetox is charged a fixed amount per orderwhether it purchases jugs or barrels. The inventory holding cost per gallon per monthis the same with either jugs or barrels. Vetox chooses an order quantity to minimizeordering and holding costs per year. Would Vetox purchase a greater number of gallonswith each order if it purchased with jugs or with barrels?a. They would order a greater number of gallons with barrels.b. They would order the same number of gallons with either container.c. They would order a greater number of gallons with jugs.d. They might order a greater number of gallons with jugs or with barrels, depending onvarious factors like the demand rate, ordering cost, and holding cost.arrow_forwardAn automotive warehouse stocks a variety of parts that are sold at neighborhoodstores. One particular part, a popular brand of oil filter, is purchased by thewarehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based on warehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based ona 28 percent annual interest rate.The monthly demand for the filter follows a normal distribution with mean280 and standard deviation 77. Order lead time is assumed to be five months.Assume that if a filter is demanded when the warehouse is out of stock, then thedemand is back-ordered, and the cost assessed for each back-ordered demand is$12.80. Determine the following quantities:a. The optimal values of the order quantity and the reorder level.b. The average annual cost of holding, setup, and stock-out associated…arrow_forwardDiskup produces a variety of personal computer products. High-density 3.5-inch disksare produced at a rate of 1,800 per day and are shipped out at a rate of 800 per day. Thedisks are produced in batches. Each disk costs the company 20 cents, and the holdingcosts are based on an 18 percent annual interest rate. Shortages are not permitted. Eachproduction run of a disk type requires recalibration of the equipment. The companyestimates that this step costs $180.a. Find the optimal size of each production run and the time between runsarrow_forward
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