EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 8220102480681
Author: Olsen
Publisher: WAVELAND
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Chapter 5, Problem 40AP
Summary Introduction
Interpretation:Reorder level of radios is to be determined.
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Problem 12-37 (Algo)
A small grocery store sells fresh produce, which it obtains from a local farmer. During the strawberry season, demand for fresh
strawberries can be reasonably approximated using a normal distribution with a mean of 36 quarts per day and a standard deviation of
5 quarts per day. Excess costs run 50 cents per quart. The grocer orders 41 quarts per day.
Use Table.
What is the implied cost of shortage per quart? (Round your z value to 2 decimal places, your service level probability to 4 decimal
places and your final answer to 2 decimal places.)
Shortage cost per quart
Consider a fixed period inventory model. The daily demand of the product has a mean of 30 and standard deviation of 4; orders are placed every 18 days and shipment lead time is 6 days. The store has a service policy of 96%. What is the inventory required?
Daily demand for a type of sandwich sold at DoorRed Cafe (DRC) is normally distributed with a mean of 65 and a standard deviation of 27. DRC orders the sandwiches from a wholesaler (everyday morning before 5:30 AM) at a wholesale price of $4 per sandwich and sells them at a retail price of $7 per sandwich. Pursuant to the contract between DRC and its wholesaler, the transportation cost is currently borne by the wholesaler. The wholesaler does not take back any unsold sandwiches. However, DRC can sell any unsold inventory at a discounted price of $3 after 5:00 PM every day.
d) Now suppose that the contract between DRC and its wholesaler expires and pursuant to the new contract, if DRC orders more than 56 sandwiches (anything more than or equal to 57), the transportation cost is no longer borne by the wholesaler and DRC will have to pay $30 for transportation. If DRC orders less than or equal to 56, the transportation cost for DRC is still zero. What is DRC’s optimal order quantity for…
Chapter 5 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
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
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- 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)?arrow_forwardCopper Kettle Catering (CKC) is a full-service catering company that provides services ranging from box lunches for picnics or luncheon meetings to large wedding, dinner, or office parties. Established as a lunch delivery service for offices in 1972 by Wayne and Janet Williams, CKC has grown to be one of the largest catering businesses in Raleigh, North Carolina. The Williams’s divide customer demand into two categories: deliver only and deliver and serve. The deliver-only side of the business delivers boxed meals consisting of a sandwich, salad, dessert, and fruit. The menu for this service is limited to six sandwich selections, three salads or potato chips, and a brownie or fruit bar. Grapes and an orange slice are included with every meal, and iced tea can be ordered to accompany the meals. The overall level of demand for this service throughout the year is fairly constant, although the mix of menu items delivered varies. The planning horizon for this segment of the business is…arrow_forwardRetailers Warehouse (RW) is an independent supplier of household items to department stores. RW attempts to stock enough items for a 98 percent service probability. A stainless steel knife set is one item it stocks. Demand (2,400 sets per year) is relatively stable over the entire year. Whenever a new stock is ordered, a buyer must ensure that numbers are correct for stock on-hand and then phone in a new order. The total cost involved to place an order is about $5. RW figures that holding inventory in stock and paying for interest on borrowed capital, insurance, and so on, add up to about $4 holding cost per unit per year. Analysis of the past data shows that the standard deviation of demand from retailers is about four units per day for a 365-day year. The lead time to get the order in seven days.a. What is the economic order quantity?b. What is the reorder point?arrow_forward
- In the following scenario, what will your stockout costs be if you have 200 hammers in stock and you have orders of 80, 60, 50, 30, 120 You are a wholesaler selling hammers. You have a carrying cost for each hammer left in inventory of $.30 per unit, ordering cost of $60 per order placed, and a stockout cost of $30 per customer who is not fully satisfied and $3 per hammer for any orders not fulfilled (lost sales). Orders placed arrive in the sixth week after the week in which the order is placed. Smallest orders are filled first. $480 $1,080 $660 $450 $300arrow_forwardNext week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of 25 customers (with a standard deviation of 13) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $135. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-trip ticket averages $218. Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost. By how many seats should Super Discount overbook the flight? Use Excel's NORM.S.INV() function to find the z value.arrow_forwardAn oil refinery buys crude oil on a long-term supply contract for $22.50 per barrel.When shipments of crude oil are made to the refinery, they arrive at the rate of10,000 barrels per day. The refinery uses the oil at a rate of 5,000 barrels per dayand plans to purchase 500,000 barrels of crude oil next year. If the carrying cost is25percent of acquisition cost per unit per year and the ordering cost is $7,500 perorder:a. What is the EOQ for the crude oil?b. What is the TSC at EOQ?c. How many days of production are supported by each order of crude oil?d. How much storage capacity is needed for the crude oil?arrow_forward
- Service level is: B and D O the probability of not stocking out. calculated as the cost of a shortage divided by (the cost of shortage + the cost of overage) for single-period models. O the probability of stocking out. something that should be minimized in retail.arrow_forwardUsing 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_forwardRetailers Warehouse (RW) is an independent supplier of household items to department stores. RW attempts to stock enough items for a 98 percent service probability. A stainless steel knife set is one item it stocks. Demand (2,400 sets per year) is relatively stable over the entire year. Whenever new stock is ordered, a buyer must ensure that numbers are correct for stock on-hand and then phone in a new order. The total cost involved to place an order is about $5. RW figures that holding inventory in stock and paying for interest on borrowed capital, insurance, and so on, add up to about $4 holding cost per unit per year. Analysis of the past data shows that the standard deviation of demand from retailers is about four units per day for a 365-day year. Lead time to get the order is seven days. What is the economic order quantity? Note: Round your answer to the nearest whole number. What is the reorder point? Note: Use Excel's NORM.S.INV() function to find the z value. Round z…arrow_forward
- A small grocery store sells fresh produce, which it obtains from a local farmer. During the strawberry season, demand for fresh strawberries can be reasonably approximated using a normal distribution with a mean of 40 quarts per day and a standard deviation of 6 quarts per day. Excess costsrun 35 cents per quart. The grocer orders 49 quarts per day.a. What is the implied cost of shortage per quart?b. Why might this be a reasonable figure?arrow_forwardA large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?arrow_forwardNext week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of 25 customers (with a standard deviation of 15) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $125. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-trip ticket averages $250. Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost. By how many seats should Super Discount overbook the flight? Note: Use Excel's NORM.S.INV() function to find the z value. Round z value to 2 decimal places. Round your answer to the nearest whole number.arrow_forward
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