Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 4.6, Problem 18P
Summary Introduction
Interpretation: The batch size whose outcome has been observed in problem 17 if the production rate is infinite is to be determined along with the additional average annual cost incurred using the batch size rather than using the batch size resulted in problem 17.
Concept Introduction:
Batch size is nothing but the total number of units built in a production run. The concept of the batch size can be best described in terms of two best factors, the transfer batch and the other one is the process batch. is
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Consider a product with a daily demand of 500 units, a setup cost per production run of $100, a daily holding cost per unit of $0.20, and an annual production rate of 219,000 units. The firm operates and experiences demand 365 days per year. Suppose that management mistakenly used the basic EOQ model to calculate the batch size instead of using the production order quantity model. How much money per year has that mistake cost the company?
Rocky Mountain Tire Centre sells 20,000 tires of a particular type per year. The ordering cost for each order is $40, and the holding cost is 20% of the purchase price of the tires per year. The purchase price is $20. per tire if fewer than 500 tires are ordered, $18. Per tire if more than 500 but fewer than 1,000 tires are ordered and $17. per tire if 1,000 or more tires are ordered. How many tires should Rocky Mountain order each time it places an order?
Quantity Unit Price
1-499 $20.
500-999 $18.
1000 & over $17
Based on available information, lead time demand for CD-ROM drives averages 50 units (normally distributed), with a standard deviation of 5 drives. Management wants a 97% service level.
What value of Z should be applied?
How many drives should be carried as safety stock?
Suppose the following item is being managed using a fixed-order quantity model with safety stock.
Annual Demand = 100,000 units
Order quantity = 30,000 units
Safety stock = 4000 units
What are the average inventory level and inventory turnover for this item?
Chapter 4 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 5PCh. 4.4 - Prob. 6PCh. 4.4 - Prob. 7PCh. 4.4 - Prob. 8PCh. 4.4 - Prob. 9PCh. 4.5 - Prob. 10P
Ch. 4.5 - Prob. 11PCh. 4.5 - Prob. 12PCh. 4.5 - Prob. 13PCh. 4.5 - Prob. 14PCh. 4.5 - Prob. 15PCh. 4.5 - Prob. 16PCh. 4.6 - Prob. 17PCh. 4.6 - Prob. 18PCh. 4.6 - Prob. 19PCh. 4.6 - Prob. 20PCh. 4.7 - Prob. 21PCh. 4.7 - Prob. 22PCh. 4.7 - Prob. 23PCh. 4.7 - Prob. 24PCh. 4.7 - Prob. 25PCh. 4.8 - Prob. 26PCh. 4.8 - Prob. 27PCh. 4.8 - Prob. 28PCh. 4.9 - Prob. 29PCh. 4.9 - Prob. 30PCh. 4 - Prob. 31APCh. 4 - Prob. 32APCh. 4 - Prob. 33APCh. 4 - Prob. 34APCh. 4 - Prob. 35APCh. 4 - Prob. 36APCh. 4 - Prob. 37APCh. 4 - Prob. 38APCh. 4 - Prob. 39APCh. 4 - Prob. 40APCh. 4 - Prob. 41APCh. 4 - Prob. 42APCh. 4 - Prob. 43APCh. 4 - Prob. 44APCh. 4 - Prob. 45AP
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- A company has an annual demand of 2500 units. The cost to place an order to replenish inventory is SR18.75 per order, and annual inventory holding cost per unit is SR1.5. On average, delivery of an order takes 3 working days (Lead time). Assume the store is open 250 days per year. What is the optimal order size? What is the optimal number of orders per year? What is the optimal number of days between orders? What is the Reorder Point (ROP)? What is the Reorder Point (ROP) with 2 days safety stock.arrow_forwarda supermarket expects to sell 1000 boxes of sugar in a year. each box costs $2 and there is a fixed delivery charge of $20 per order. if it costs $1 to store a box for a year, what is the order size and how many times a year should orders be placed to minimize inventory costs?arrow_forwardPetromax Enterprises uses a continuous review policy to manage the inventory for one of its SKUs. The following information is available on the item. The firm operates 50 weeks in a year. Demand = 90,000 units/year Ordering Cost = $60/Order Holding Cost = $3/Unit/Order Lead Time = 10 weeks Standard Deviation of Weekly Demand = 200 units Suppose due to some recent changes to the target service level, they have determined the reorder point to be 20,000. If the inventory position of this SKU is currently 19,600, how many units should they order? (Round your answer to the nearest whole number, if it has decimals. Input 0 if they should not order now.)arrow_forward
- You were asked to assist with optimising the stock ordering and holding process for a company that sells car batteries. As part of the process, you need to decide the optimal order size to minimise associated costs. You are given the following information: • The batteries cost R400 each. • Sales volumes are constant at 600 batteries per month. • The lead time from order to delivery is 14 days. • It costs R360 for every order to be processed. It is calculated that it costs R5 to store a battery per month. 4) Calculate the optimal total costs.arrow_forwardOne of the assumptions of the basic fixed-order-quantity inventory model is "lead time (time from ordering to receipt) is constant." True or Falsearrow_forwardA bakery buys sugar in 15-pound bags. The bakery uses 5000 bags of sugar each year. Carrying costs are $20 per bag per year. Ordering costs are estimated at $5 per order. Assume that the bakery is open 250 days a year and its daily demand is estimated at 20 bags. It takes 5 days for each order of sugar to be filled. Refer to the information above. What is the optimal number of orders per year? a. 200b. 500c. 300d. 400e. 100arrow_forward
- A product has a reorder point of 110 units and is ordered four times a year on average. The following table shows the historical distribution of demand values observed during lead time. Managers have noted that stockouts occur 30 percent of the time with this policy, and they question whether a change in inventory policy, to include some safety stock, might be an improvement. The managers realize that any safety stock would increase the service level, but they are worried about the increased costs of carrying the safety stock. Currently, stockouts are valued at $20 per unit per occurrence, while inventory carrying costs are $10 per unit per year. Demand Probability 100 0.20 110 0.35 120 0.30 130 0.15 What level of safety stock is best?arrow_forwardThe production order quantity for this problem is approximately 332 units. daily demand rate = 64; daily production rate = 100. What is the average inventory on - hand ( in other words - the inventory for which you are paying Holding Costs ) In this problem ?arrow_forwardThe basic EOQ model is based on all the following assumptions except: A. Annual demand is known and constant.B. The item is always available when needed.C. Estimates of ordering and carrying costs are accurate.D. Order is instantaneously received exactly when previous inventory has just been used up.arrow_forward
- The basic EOQ model is based on all the following assumptions except: * A. Annual demand is known and constant.B. The item is always available when needed.C.Estimates of ordering and carrying costs are accurate.D.Order is instantaneously received exactly when previous inventory has just been used up.arrow_forwardA company has the demand of 1800 units per year (demand rate is constant), holding costs of $13 per unit and setup costs (ordering cost) of $27 per order. The order lead time is 1 days, and the company operates 245 days every year. To avoid a stockout, they need to place an order at least ______ days before the inventory runs out.arrow_forwardXYZ Inc. needs 400 kgs of a material per month. It costs OMR 100 to make and receive an order, and it takes 12 workdays to receive it. The annual holding cost is 15 % of purchase price. The price OMR 1 per kg. The company is operating workdays per week in a 52-week year. At what level of inventory in Kgs should the company be placing orders ? Round-up to the nearest integerarrow_forward
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