In a Q system, the demand rate for strawberry ice cream is normally distributed, with an average of 295 pints perweek. The lead time is 6 weeks. The standard deviation of weekly demand is 16 pints. Refer to thestandard normal table for z-values.a. The standard deviation of demand during the 6-week lead time is 39 pints. (Enter your response rounded to thenearest whole number.)b. The average demand during the 6-week lead time is 1770 pints. (Enter your response as an integer.)c. The reorder point that results in a cycle-service level of 96 percent is pints. (Enter your response rounded to thenearest whole number.)

Given data Lead times = 6 weeks The standard deviation of weekly demand = 16 pints The rate of…

Answered: In a Q system, the demand rate for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

Weiss’s paint store keeps an inventory of white latex paint product in the gallon size. The manager reviews the stock level every 4 months. Demand is observed to be normally distributed with a monthly mean of 28 gallons and a standard deviation of 8. Re-supply lead time is 2.5 months. The store manager targets a 98 percent in-stock probability during the lead time. • What is the target inventory position?
A retailer uses a periodic review order-up-to model to control the inventory of one of its high volume products. Average demand is 2580 units per week with a standard deviation of 1270. The review period is 5 weeks, the lead time is 11 weeks, and the safety factor used is 0.61. How many stockouts should the retailer expect for this product next year?
A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand (D) = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost (H) = $5/unitsDesired cycle-service level = 90 percentLead time (L) = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?
A distributor of large appliances needs to determine the order quantities and reorderpoints for the various products it carries. The following data refer to a specii c refrigeratorin its product line:Cost to place an orderHolding costCost of refrigeratorAnnual demandStandard deviation of demand during lead timeLead time$10020 percent of product cost per year$500 each500 refrigerators10 refrigerators7 daysConsider an even daily demand and a 365-day year.a. What is the economic order quantity?b. If the distributor wants a 97 percent service probability, what reorder point, R, shouldbe used?
1. The demand for a product of Carolina Industries varies greatly from month to month. Based on the past three years of data, the following shows the monthly demand at Carolina Industries. Unit Demand # Months 300 6 400 8 500 12 600 10 A.If the company places monthly orders equal to the expected value of the monthly demand, what should Carolina’s monthly order quantity be for this product? B. What are the variance and the standard deviation for the number of units demanded?
A warehouse checks inventory and places an order from a supplier for a particular product once a month. The monthly demand for the product is independent and normally distributed with a mean of 500 and a standard deviation of 100. If the warehouse targets a 90% service level for this product, and the supplier’s lead time is one month, how much safety stock should be held? PLEASE SHOW CALCULATIONS/EXCEL WITH FORMULAS
A retailer carries 10,000 items in its store. During the week, there is some demand for 6000 of the items. Among those, there are 100 products for which all of the demand was not satisfied and 400 products for which only some of demand was satisfied. a. What is their in-stock probability for this week?b. What is their stockout probability for this week?
Suppose that the newsvendor faces integer-valued demand and must choose an integer value of y. We make no assumptions about the demand distribution (other than that it is an integer) or about the relationship between h and p. Prove that y* is the smallest integer y such that F(y) ≥ (r − c)/(r − v) where F is the cdf of the demand distribution. (Hint: Consider calculating the cost difference between two consecutive integer values.)
The manager of Alaina’s Garden Center must make the annual purchasing plans for rakes, gloves, and other gardening items. One of the items the company stocks is Fast-Grow, a liquid fertilizer. The sales of this item are seasonal, with peaks in the spring, summer, and fall months. Quarterly demand (in cases) for the past 2 years follows: Quarter Year 1 Year 2 1 2 3 4 45 339 299 222 67 444 329 283 Total 905 1,123 If the expected sales for Fast-Grow are 1,850 cases for year 3, use the multiplicative seasonal method to prepare a forecast for each quarter of the year.
Weekly demand per store for a particular item at The Gap is normally distributed with mean 8 and standard deviation 2. The delivery lead time to each store is 3 weeks. The items cost $27 each and sell for $42. The shipping and administrative costs are $20 per store order. There are 2000 stores across the nation. Assume a 35% annual inventory carrying charge. a) If they choose to stock the item with a 95% service level in every store, how much safety stock must they keep for the item, summed over all the stores? b) Suppose they choose to stock the item in a central location (and pay for overnight shipping to the customers). Assume that demand at the central location will be the sum of demands from all the individual stores. i.How much average safety stock must they hold for that item if they want to provide a 95% service level? ii. Shipping and administrative costs are $100 per order to the central location. What is the percentage savings in average cycle stock for the centralized…
You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean 5 250 and standard deviation 5 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? b. Based on part (a), what is the probability that you will run out of stock?
Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, “That’s life.” On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolatecovered shrimp in some boxes so that “You never know what you’ll get.” Quarterly demand (in boxes of chocolates) for the last 3 years follows: Quarter Year 1 Year 2 Year 3 1 2 3 4 3,000 1,700 900 4,400 3,300 2,100 1,500 5,100 3,502 2,448 1,768 5,882 Total 10,000 12,000 13,600 a. Use intuition and judgment to estimate quarterly demand for the fourth year.b. If the expected sales for chocolates are 14,800 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. Are any of the quarterly forecasts different from what you thought you would get in part (a)?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS