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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
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.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_forwardDaily demand for fresh cauliflower in the ZZ-Warehouse store follows normal distribution with mean 100 cartons and s.d. 20 cartons. The ZZ-Warehouse buys at a cost of $50.00 per carton, sells it for $70.00 per carton. Unsold cartons are sold for $20.00 per carton. Cost of shortage = 70-50 = 20; cost of excess = 50-20 = 30; Ratio using (20.1), the service level = (20/(20+30))= 0.4 What is the optimal order quantity, using the single period – continuous demand model? a. 105 b. 95 c. 110 d. 100 e. 80arrow_forward
- 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_forwardJohn 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_forward
- Catlea 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_forwardProblem 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_forward3) 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_forward
- Mr. Stone has recently installed a vending machine outside a local supermarket to sell a new brand of 12-oz-can soda. Mr. Stone is currently replenishing the vending machine to its full capacity of 1000 cans every Monday morning, i.e., he uses a Base Stock System with review period P=7 days. Based on a recent demand analysis by Mr. Stone, the daily demand follows approximately a normal distribution with mean 140 and a standard derivation of 50. ä (a) What is the current stockout probability between two consecutive replenishment periods? ä (b) Mr. Stone is considering a more frequent replenishment policy to improve the cycle-service level to at most 1% stockout probability. To achieve this, what would be the maximum length (in days) of the replenishment periods?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_forwardDemand for cars is normally distributed with a mean of 2,700 and a standard deviation of 640. The order quantity is 2,625 units. What is the expected sales (in units)?arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,