Consider the following single-period inventory model (probabilistic demand). The Smith shoecompany is currently selling an athletic shoe for the spring and summer months. It does notexpect to sell any shoes in the fall, thus it will not sell after July 31. The shoes cost Smith $110per pair and Smith will sell them retail at a price of $140. During the August sale, the shoes willsell for $70 a pair. The demand for shoes is assumed to be uniformly distributed with the rangeof demand going from 2,000 pairs to 3,800 pairs.Answer these questionsQuestion 7. What is the value of co?(b)(a)Question 8. What is the value of cu?

Given data; Cost price 110 $ per pair Selling price 140 $ per pair Salvage price 70 $ per…

Answered: Consider the following single-period…

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...

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Demand in each period is normally distributed with a mean of 100 and standard deviation of 50. Assuming demand across periods are independent, what is the standard deviation of the total demand over 4 periods?
13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?
Dan’s Independent Book Store is trying to decide on how many copies of a book to purchase at the start of the upcoming selling season. The book retails for $28.00. The publisher sells the book to Dan at $20.00. Dan can dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season. Dan estimates that demand for this book during the season is Normal with a mean of 1000 and a standard deviation of 250. Question 1: What is the quantity that Dan should order to maximize his expected profit?
Dan's Independent Book Store is trying to decide how many copies of a book to purchase at the start of the upcoming selling season. The book retails at $28.00. The publisher sells the book to Dan at $20.00. Dan will dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season. Dan estimates that demand for this book during the season is normal with a mean of 1000 and a standard deviation of 250. The publisher is thinking of offering the following scheme to Dan. At the end of the season, they will buy back unsold copies at a pre-determined price of $17.00. However, Dan would have to bear the costs of shipping unsold copies back to the publisher at $1.00 per copy. What is the quantity that Dan should order, to maximize his expected profits?
That One Book sells its books through The Witch and the Wardrobe bookstores. It costs That One Book $0.80 to print each book; it sells the book to The Witch and the Wardrobe for $2.50. The Witch and the Wardrobe then sells the books at retail for $6.00. Whatever doesn’t sell gets thrown away. Demand for the book each issue is normal with a mean of 5219 and a standard deviation of 1610. To give The Witch and the Wardrobe incentive to order more books, it proposes a revenue-sharing contract. Instead of selling the book to The Witch and the Wardrobe for $2.50, That One Book will sell its books to The Witch and the Wardrobe for only $1.00. However, for each book that The Witch and the Wardrobe sells at retail, The Witch and the Wardrobe must give $2.00 back to That One Book. With this revenue sharing agreement in place, what is the optimal order amount that will maximize The Witch and the Wardrobe expected profit? Please do fast ASAP
Please answer questions 9 and 10 based on this data. Daily demand for packages of five videotapes at a warehouse store is found to be normally distributed with a mean of 50 and a standard deviation of 5. When the store orders more tapes, the orders take four days to arrive. Assume the store is open 360 days a year. If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what should be the safety stock? Please round your answer to two decimals. Safety stock= 17 Question 10 4 pts If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what reorder point should be set? Please round your answer to two decimals. Reorder point=
Daily 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. 80
Assume the weight is 0.6 for the most recent period; 0.2 for the second most recent; 0.1 for the third most recent; and 0.1 for the fourth most recent period. Using the four-period weighted moving average technique to predict the demand in February 2019. Find the X and Y values. Dt Ft Period Demand Four-period weighted Moving Average 2014 September 9400 October 10300 November 11200 December 4998 2015 January 9800 7209 February 9555 X March 9800 Y Group of answer choices X = 9899.8; Y = 9778.2 X = 9312.8; Y = 9555.2 X = 9029.6; Y = 9312.8 X = 9555.0; Y = 9313.7 X = 9872.4; Y = 9029.4
Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeks
Weekly demand for Lego at a Wal-Mart store is normally distributed with a mean of 2,500 boxes and a standard deviation of 500. Demand is assumed to be stationary and the mean demand is used as forecast. Each order costs Wal-Mart $145 and holding cost per box per year is estimated at $1.5. Lead time is 2 weeks and the store manager has decided to review inventory every 4 weeks. (Assume a periodic review policy) a. What is safety stock requirement for a service level of 90%? b. What is the order-up-to level? c. What is the total annual variable cost?
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.) Probability
The Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of 2.5 pizzas. A vendor for a packaged food distributor checks the market’s inventory of frozen foods every 10 days, and during a particular visit, there were no pizzas in stock. The lead time to receive an order is 3 days. Determine the order size for this order period that will result in a 99% service level. During the vendor’s following visit, there were 5 frozen pizzas in stock. What is the order size for the next order period?

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