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Lemington’s is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a
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Chapter 10 Solutions
Practical Management Science
- Among 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_forwardGameStop has maintained 75% service level for inventory of PlayStation 5. Mean demand during lead time is 166 PlayStations, and the standard deviation during lead time is 58 PlayStations. The annual cost of carrying one PlayStation in inventory is $12. The store’s operations analyst recently told GameStop's management that they could expect a $550 improvement in profit (based on current figures of cost per PlayStation) if the service level were increased to 97.5%. Is it worthwhile for GameStop to make this change?arrow_forwardThe materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?arrow_forward
- John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.Demand:15161718Number of days demand occurred:2486Assume that demand will be within this range in future.(a) What are the possible actions and states?(b) Determine the daily profit (rewards) and show on a reward table.(c) Using each of the following criteria, determine John’s best action.- Maximin- Maximax- Expected value(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.arrow_forwardPeter Sagan is in charge of maintaining hospital supplies at Champs Hospital. During the past year the mean weekly demand for a special type of tubing was 186 packages of this tubing with a standard deviation of 13 packages of tubing. The lead time for receiving this tubing from the supplier is 1.5 weeks. Peter would like to maintain a 95% service level and places an order for 750 packages every time an order is placed. d) If the weekly demand is 186 and there is a 1.5 week lead time - what is the reorder point (99% service level)? e) If the carrying cost per year is $0.50/unit/year - what is the additional cost associate with the 99% service level compared to 95% service level (i.e. cost of safety stock at 99% level - cost of safety stock at 95% service level)?arrow_forward6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?arrow_forward
- Problem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.30 a copy. You sell a copy of San Pedro Times for $1.10. Daily demand is distributed normally with mean = 265 and standard deviation = 53. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) Optimal order quantity b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) Probabilityarrow_forwardCatlea Merchandising is engaged in selling school shoesfor both boys and girls in their teenage years. Catlea needs 32,000 pairs of shoes in a year in order to satisfy the market demand. It costs ₱ 48 to place an order while ₱ 8 is needed to hold each quantity of shoe in Catlea's inventory. Upon checking on Catlea's supplier, it takes 8 days in between placing an order and eventually receiving it. a. Determine the Economic Order Quantityb. Determine the number of order per monthc. Determine the reorder pointarrow_forward6-23 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory carrying cost is estimated to be 10% of the cost of each valve. Barbara has made a study of the costs involved in placing an order for any of the valves that West Valve stocks, and she has concluded that the average ordering cost is $25 per order. Furthermore, it takes about two weeks for an order to arrive from the supplier, and during this time, the demand per week for West valves is approximately 80. a. What is the EOQ? b. What is the ROP? c. Is the ROP greater than the EOQ? If so, how is this situation handled? d. What is the average inventory? What is the annual holding cost? e. How many orders per year would be placed? What is the annual ordering cost?arrow_forward
- 3) A mgr. must set up an invty system for two (2) new production items, P34 & P35. P34 can be ordered at any time, but P35 can only be ordered once every 4 weeks. The co. operates 50 weeks a year and the weekly usage rates for both items are normally distributed. The mgr. has gathered the following information about the items: Item P34 Item P35 Average wkly demand Standard deviation 60 units 70 units 4 units per wk $15 5 units per wk $20 Unit cost Annual Holding cost 40% 40% Ordering cost Lead time $70 $30 2 weeks 2 weeks Acceptable stockout risk 5% 5% a) When should the manager reorder each item? b) Compute the order quantity for P34 c) Compute the reorder point for P35 if 110 units are on hand at the time the order is placed.arrow_forwardBarbara Flynn's company has compiled the following 12.5 ata on a small set of products: ITEM A B C D E ANNUAL DEMAND ITEM NUMBER E102 D23 D27 R02 R19 $107 $123 U11 U23 V75 100 75 50 200 150 Perform an ABC analysis on her data. PX 12.6 Lynn Fish opened a new beauty-products retail store. There are numerous items in inventory, and Lynn knows that there are costs associated with inventory. However, because her time is limited, she cannot carefully evaluate the inventory policy for all products. Lynn wants to classify the items according to dol- lars invested in them. The following table provides information about the 10 items that she carries: UNIT COST $300 100 50 100 65 UNIT COST $4 $16 $8 $2 $8 $12 $1 $7 $1 $14 DEMAND (UNITS) 800 2,400 700 1,000 200 500 1,200 800 Use ABC analysis to classify these items into categories A, B, and C. PX 1,500 2,500 Problems 12.7-12.40 relate to Inventory Models for Independent Demand • 12.7 William Beville's computer training school, in Richmond, stocks…arrow_forwardA manager must set up inventory ordering systems for two new production items, P34 and P35.P34 can be ordered at any time, but P35 can be ordered only once every four weeks. The companyoperates 50 weeks a year, and the weekly usage rates for both items are normally distributed. Themanager has gathered the following information about the items.Item P34 Item P35Average weekly demand 60 units 70 unitsStandard deviation 4 units per week 5 units per weekUnit cost $15 $20Annual holding cost 30% 30%Ordering cost $70 $30Lead time 2 weeks 2 weeksAcceptable stockout risk 2.5% 2.5%a. When should the manager reorder each item?b. Compute the order quantity for P34.c. Compute the order quantity for P35 if 110 units are on hand at the time the order is placed.arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,