OPERATION MANAGEMENT
2nd Edition
ISBN: 9781260242423
Author: CACHON
Publisher: MCG
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Chapter 14, Problem 4PA
Summary Introduction
To calculate: The number of controllers that will be ordered.
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A store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a.
If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?
The owner and manager of a hardware store reevaluates his inventory policy for hammers. sells an average of 50 hammers a month, so you have placed purchase orders for 50 hammers with a distributor at a cost of $20 each at the end of each month. But the owner does not place all the store orders and find that this takes much of your time. He estimates that the value of his time spent ordering hammers is $75.
a) What must be the unit cost of maintaining hammers for the current policy of the hardware store to be Optimal according to the EOQ model?
b) If the distributor delivers an order for hammers in 5 business days (out of an average of 25 per month), what should be the reorder point, according to the EOQ model?
weekly demand for hamleys (a famous toy brand) at a toy store is normally disrtibuted with a mean of 250 and a standrd devaiton of 150.Ther toy store is opened 7 days a week.The toy store owner continoulsy monitors the inventory .Hamleys takes 2 weeks to fill an order with a standard devaiton of 4 days.
1] how much inventory should the sotre carry at the reorder point.
2] how much inventory would that be at the reorder point if the cycle service was increased to 98%?
Chapter 14 Solutions
OPERATION 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 - Prob. 4PACh. 14 - You are the owner of Hotspices.com, an online...Ch. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 8PACh. 14 - Prob. 9PACh. 14 - Prob. 10PACh. 14 - Prob. 11PACh. 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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- Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 112, 500 units per year, an ordering cost of $3 per order, and carrying costs of $1.20 per unit. a. What is the economic ordering quantity? b. How many orders will be placed during the year? c. What will the average inventory be? d. What is the total cost of ordering and carrying inventory?arrow_forwardGreen Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) Item Number Annual Usage ($) 1 10,600 11 2,750 2 14,000 12 1,400 3 4,000 13 3,200 4 16,000 14 2,500 5 8,100 15 110,000 1,800 16 14,800 7 84,000 17 9,500 8. 890 18 1,700 9 940 19 3,700 10 94,000 20 12,500 a) What would you recommend GGIL to do to cut back its labor cost? (Illustrate using an ABC plan). b) Item 18 is critical to continued operations at GGIL. i. How would you recommend it be classified? ii. Give the reason(s) for your answer.arrow_forwardThomas Kratzer is the purchasing manager for theheadquarters of a large insurance company chain with a centralinventory operation. Thomas’s fastest-moving inventory item hasa demand of 6,000 units per year. The cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. The aver-age ordering cost is $30 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is acorporate operation, and there are 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any two orders?e) What is the annual cost of ordering and holding inventory?f ) What is the total annual inventory cost, including the cost ofthe 6,000 units?arrow_forward
- The purpose of EQQ is: A. measure the cost of ordering inventory B. to lower the level of inventory C. to determine the optimal amount of inventory to order D. to find the number of days before inventory needs to be reorderedarrow_forwardThe two-bin approach is used to control inventory for a particular low-cost component. Each bin holds 1000 units. The annual usage of the component is 40,000 units. Cost to order the component is around $50. (a) What is the imputed holding cost per unit for this data? (b) If the actual annual holding cost per unit is only 5 cents, what lot size should be ordered? (c) How much more is the current two-bin approach costing the company annually, compared to the economic order quantity?arrow_forwardScouts Corp. projects its sales to be 1,000 units this year. As a result of holding inventories, insurance, storage, taxes and other cost are incurred amounted to P2 per unit per year. Every time Scouts Corp. makes an order, P10 is incurred. On the average it takes 3 days to make and receive an order. (Use 360 days a year). Assuming Scouts Corp.’s inventory may take as 5 days to respond, how many units of inventory is the average daily usage? and what is the normal lead time usage?arrow_forward
- 16 Brooke Army Medical Center dispenses 390,000 bottles of brand name pharmaceutical annually. The optimal safety stock (which is on hand initially) is 1,000 bottles. Each bottle costs the center $10, inventory carrying costs are 30%, and the cost of placing an order with its supplier is $175. I What is the economic order quantity? Format is x,xxx (number only) What is the maximum inventory for this medication? Format is x,xxx How often must the center order (in days)? Format is xx days or x days How many orders of this pharmaceutical will need to be placed each year? Format is x or xx (number only)arrow_forwardAmong the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stockarrow_forwardThe purpose of computing for EOQ is to put into balance the Carrying Cost and Ordering Cost. Is it True or False?arrow_forward
- This is a 2-part question scenario based on EOQ and Reorder Point: You have been selling your best selling TV at a rate of 44 per day with a standard deviation of 5. Average lead time for the this model of TV is 6 days with a standard deviation of 2 days. At what inventory level do you order to ensure a 95% service level? You have been selling the tires at a rate of 78 per day with a standard deviation of 3. Average lead time for the bicycle tires you need is 83 days. At what inventory level do you order to ensure a 90% service level?arrow_forwardAt Matthews Car Repair, customer demand for a certain brand of motor oil is normally distributed with a mean of 15 gallons and a standard deviation of 6 work-days. To be 95% sure that Compact Car Repair will not run out of oil, we should reorder when motor oil in stock is less than _______ gallons. a. 24.9 b. 22.6 c. 23.7 d. 20arrow_forwardUnited Airlines has an agreement to buy jet fuel from Exxon. The goal is to minimize total cost (i.e., ordering cost + holding cost). The annual demand for fuel is 201,000 barrels. Exxon charges United $3740 to process each order. United incurs a holding cost of $20 per barrel. When purchasing using the EOQ (from last question), what is the order cycle time (days between orders) for United? Note: round your answer to the nearest 1 decimal place. For example, answer like 12.3 Answer: Checkarrow_forward
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