do not give solution in image Target sells a popular model of pre-lit artificial Christmas trees during the holiday season. The total procurement cost per unit is $70, and theselling price is $120. At this price, the anticipated demand during the selling season is normally distributed, with a mean of 900 units andstandard deviation of 200 units. Any unsold units at the end of the season will be disposed of in a postseason sale for $55. It costs $25 to holda unit in inventory for the entire season.Round all entries to two decimal places.a) Compute the optimal number of units Target should order:units.b) Compute the optimal expected profit associated with the order quantity from part (a): $c) Given the optimal order quantity, how many customers does Target expect to turn away because of stocking out?units.

The efficient supervision and control of the procurement, holding, and usage of raw materials,…

Answered: Target sells a popular model of pre-lit…

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?
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?
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?
A company is planning to purchase 10,000 units of a particular item in the year ahead. The item is purchased in boxes each containing 10 units of the item, at a price of €400 per box. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 10% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of €7,000 were incurred on 25 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 5% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required: (a) Calculate the economic order quantity (EOQ) in boxes which minimises total costs (b) Outline when and why it is appropriate to use economic batch quantity (EBQ)
You are a newsvendor selling the New York Times every morning. Before you get to work, you buy the day’s newspaper for $0.90 a copy. You sell a copy of the New York Times for $4.0. Daily demand is distributed normally with a mean of 130 and a standard deviation of 20. At the end of each morning, any leftover copies can be sold to a recycling center for $0.10. How many copies of the New York
SoundsUp, a local amphitheater is getting ready for the upcoming summer concert season. They want to purchase reusable plastic water bottles to sell to concert attendees. Bottles cannot be reused as they will be customized with that week's artist and date. The expectation for this upcoming concert is an average demand for 3000 bottles with a standard deviation of 600. The bottles sell for $20.00 each and cost SoundsUp $12 per bottle. In the event some bottles are left over after the concert, a local radio station has indicated that they will purchase some of the leftover bottles for $15 per bottle for use in promotions, but they have not committed to any particular number that they will buy. SoundsUp estimates a 5% chance that the radio station will purchase no bottles, a 10% chance they purchase 150, a 40% chance they purchase 175, a 30% chance they purchase 225, and a 15% chance they purchase 275. If SoundsUp has any leftover bottles that are not purchased by the radio station, then…
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?
Weekly demand for a certain type of automotive spark plug in a local repair shop is normallydistributed with mean 34 and standard deviation 12. Procurement lead time is six weeks.Determine the lead time demand distribution.
Suppose that the retailer SnowInc buys ski jackets from the Chinese manufacturerJacketCo. Due to the short selling season and long delivery lead time for this fashiongood, this is a one-time purchase decision. SnowInc estimates the season’s demand forone type of jacket to be normally distributed with mean 500 and standard deviation 100.Retail price for the jacket is $100. If not sold at the end of the season they unload themfor $10 per jacket. The wholesale price JacketCo charges is $30 per jacket and JacketCo’sper unit manufacturing cost is $12. How many jackets should SnowInc order and what arethe two firms’ profits? If both firms were owned by the same company, how would theseanswers change?
Weekly demand for electric motors at a Japanese motor manufacturer is normally distributed, with a mean of 1,000 and a standard deviation of 1,000. Motors are currently assembled in China and delivered at a cost of 20,000 yen/motor. The supplier takes eight weeks to supply an order. A local Japanese manufacturer has offered to deliver motors with a lead time of one week at a cost of 20,400 yen per motor. The motor manufacturer is targeting a CSL of 99 percent (z=2.326) and monitors its inventory continuously. The manufacturer incurs a holding cost of 25 percent. Answer the following questions. (a) What is the safety inventory under each of the two possible motor suppliers (Chinese and local)? (b) Calculate the total annual costs with both suppliers (Chinese and local) and decide if the manufacturer should accept the local supplier’s order.

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