Practical Management Science, Loose-leaf Version
5th Edition
ISBN: 9781305631540
Author: WINSTON, Wayne L.; Albright, S. Christian
Publisher: Cengage Learning
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Chapter 12, Problem 54P
Summary Introduction
To show: The sum of the annual ordering cost and the annual holding cost increases by 2.5%.
Inventory and supply chain models:
The functions of inventory and supply chain are one of the most important business decision areas for an organization. The first important aspect of these concepts is to have adequate inventory on hand. The second important aspect is to carry a little amount of inventory as possible.
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If the following data is known in determining the Quantity Discount with EOQ
- Demand rate = 100.000
- Ordering Cost = 5000
- Holding/Carrying cost = 600
Price Range
LOWER
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1000
1000
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1001
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1501
3000
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3001
3500
700
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3501
3750
650
6
3751
4000
600
Based on the data provided, determine the optimal order quantity and total cost for this case!
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1001
1500
900
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1501
3000
800
4
3001
3500
700
5
3501
3750
650
6
3751
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the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12.a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should D iscount-Mart place with SpecialtyLighting per year?
Order Quantity and Reorder PointDaily demand for a certain product is normally distributed, with a mean of 60 and a standard deviation of 7. The source of supply is reliable and maintains a constant lead time of six days. The cost of placing the order is $10 and annual holding costs are $0.50 per unit. There are no stock-out costs, and unfilled orders are filled as soon as the order arrives. Assume sales occur over the entire 365 days of the year. Find the order quantity and reorder point to satisfy a 95 percent probability of not stocking out during the lead time.
Chapter 12 Solutions
Practical Management Science, Loose-leaf Version
Ch. 12.4 - Prob. 1PCh. 12.4 - Prob. 2PCh. 12.4 - Prob. 3PCh. 12.4 - Prob. 4PCh. 12.4 - Prob. 5PCh. 12.4 - Prob. 6PCh. 12.4 - Prob. 7PCh. 12.4 - Prob. 8PCh. 12.4 - Prob. 9PCh. 12.4 - Prob. 10P
Ch. 12.4 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 18PCh. 12.5 - Prob. 19PCh. 12.5 - Prob. 20PCh. 12.5 - Prob. 21PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Prob. 45PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - In terms of K, D, and h, what is the average...Ch. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61PCh. 12 - Prob. 62PCh. 12 - Prob. 63PCh. 12 - Prob. 64PCh. 12 - Prob. 65PCh. 12 - Prob. 66PCh. 12 - Prob. 67PCh. 12 - Prob. 68PCh. 12 - Prob. 69PCh. 12 - Prob. 70PCh. 12 - Prob. 71PCh. 12 - Prob. 1.1CCh. 12 - Prob. 1.2CCh. 12 - Prob. 1.3C
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- Sarah's Muffler Shop has one standard muffler that fits a large variety of cars. Sarah wishes to establish a reorder point system to manage inventory of this standard muffler. Annual demand Standard deviation of daily demand Item cost Annual holding cost 5,700 mufflers 5 mufflers per working day 30 per muffler 30% of the item value Use the above information to determine the best order size and the reorder point. Order Size = 252, R = 47 Order Size = 243, R = 40 Order Size = 300, R = 46 O Order Size = 302, R = 23 Ordering cost Service probability Lead time Working days $ 50 per order 90 % 2 working days 300 per yeararrow_forwardTo establish the reorder point in the EOQ model, we must know both: * None of the above The daily demand and the order quantity. The annual demand and the lead time. The annual demand and the number of orders placed per year.arrow_forwardDiscount-Mart, a major East Coast retailer, wants todetermine the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12. a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should Discount-Mart place with SpecialtyLighting per year?arrow_forward
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- Apply the EOQ model to the following quantity discount situation in which D=500 units per year, C0=$40, and the annual holding cost rate is 20%. What order quantity do you recommend? Discount Category Order Size Discount (%) Unit Cost 1 0 to 99 0 $10 2 100 or more 3 $9.70arrow_forward(a) Ignoring taxation, calculate the optimum order level of inventory over a one-year planning period using the EOQ model. (b) Estimate the level of safety inventory that should be carried by Toyzrfun Ltd. (c) If Toyzrfun Ltd were to be offered a quantity discount by its suppliers of 1% for orders of 30 000 units or more, evaluate whether it would be beneficial for the company to take advantage of the quantity discount. Assume for this calculation that no safety inventory is carried. (d) Estimate the expected total annual costs of inventory management if the EOQ had been (i) 50% higher, and (ii) 50% lower than its actual level. Comment upon the sensitivity of total annual costs to changes in the EOQ.arrow_forwardZartex Co. produces fertilizer to sell to wholesalers. One raw material – calcium nitrate – is purchased from a nearby supplier at $22.50 per ton. Zartex estimates it will need 5,750,000 tons of calcium nitrate next year. The annual holding cost for this material is 40% of the acquisition cost, and the ordering cost is $595. a) What is the most economical order quantity? b) How many orders will be placed per year? c) How much time will elapse between ordersarrow_forward
- A company annually uses 1,200 of a certain spare part that costs $25 for each order and has a $24 annual holding cost. Find the economic order quantity, the annual ordering cost, and the annual holding cost.arrow_forwardMaira Hijab Enterprise (MHE) is a supplier that sells Exclusive Embroidery Silk Hijabs to boutique and online resellers. The annual demand is approximately 360 hijabs. MHE pays RM50 for each hijab and estimates that the annual holding cost is 2 percent of the hijab's value. It costs approximately RM100 to place an order (managerial and clerical costs). Required: Determine the economic order quantity (EOQ) (Round up your answers to the nearest figure). а. b. Assuming a 300-day work year, how many orders should be processed per year and what is the expected time between orders? С. Calculate the total cost for the order. d. After several months of the introduction of the Exclusive Hijab, MHE decides to all costs related to their product due to the increment of hijab’s costs by the supplier. MHE currently orders 1000 hijabs per month. The new information as regards to the Exclusive Hijab is as follows: i. The ordering cost for these is RM100 per order and ii. The carrying cost is assumed…arrow_forwardAaBbCc AaBbCc AaBbCc No Spacing Normal Reuse Heading 1 Replace Files Paragraph Styles Editing Reuse Files Item SKU A3378 has a demand that is normally distributed during the lead time, with a mean of 360 units and standard deviation of 12. If Hinsdale cannot have stockouts in more than 10% of the time in any order, how much safety stock should be maintained and at what reorder point? 1. SKU F5402: daily demand is normally distributed with a mean of 16, standard deviation of 4, lead time is 4 days, and must operate at a 95% service level. 2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service level. 3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a standard deviation of 3 days. The lead time is also normally distributed with a mean of 4 days, standard deviation of 2 days, and a service level of 90% is required. dictions: On acer %24 4. % &…arrow_forward
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