8 4) A perishable product is purchased by a retailer for #800 and sold at a price of #900.Because the product is perishable, it has no value if not sold on the first day. Daily demand(x) varies at random according to the following distribution:120.35150.05X10111314P (X)0.050.200.200.15The retailer wishes to determine the level to stock each day, so as to maximize expecteddaily profit.You're required to:i) determine what stock decision will result in the maximum expected daily profit.

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Answered: 4) A perishable product is purchased by…

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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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
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?
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?
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=
XYZ Company must order tires from its warehouse. It costs $10550 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 20000 and variance 4,000,000. It costs $10 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 1.027 O b.0.1083 c. 0.2297 d. 0.1624 e. 0.3248
XYZ Company must order tires from its warehouse. It costs $10400 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 18000 and variance 4,000,000. It costs $8 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 0.3801 b. 0.19 c. 0.2687 d. 1.075 e. 0.1267
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?
A warehouse manager at Mary Beth Marrs Corp. needs to simulate the demand placed on a product that does not fit standard models. The concept being measured is "demand during lead time," where both lead time and daily demand are variable. The historical record for this product, along with the cumulative distribution, appear in the table. Demand During Lead Time Cumulaive Probability Probability 120 0.01 0.01 140 0.12 0.13 160 0.35 0.48 180 0.20 0.68 200 0.04 0.72 220 0.08 0.80 240 0.20 1.00 The following random numbers have been generated: 9, 78, 40, 41, and 99. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilty distribution, for the given random number the demand during the lead time is: Random Number 9 78 40 41 99 Demand The average demand during the lead time is (enter your response as an integer). The total demand during the lead time based on the five simulations is (enter your response as an integer).
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
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?
14. 12 The purchasing manager for the Atlantic Steel Company must determine a policy for ordering coal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has determined that the ordering cost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventory held. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton for the coming year. a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed? (Ans= R=300 tons)
Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?

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