Concept explainers
Dilbert’s Department Store is trying to determine how many Hanson T-shirts to order. Currently the shirts are sold for $21, but at later dates the shirts will be offered at a 10% discount, then a 20% discount, then a 40% discount, then a 50% discount, and finally a 60% discount. Demand at the full price of $21 is believed to be
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Chapter 10 Solutions
Practical Management Science
- Use @RISK to analyze the sweatshirt situation in Problem 14 of the previous section. Do this for the discrete distributions given in the problem. Then do it for normal distributions. For the normal case, assume that the regular demand is normally distributed with mean 9800 and standard deviation 1300 and that the demand at the reduced price is normally distributed with mean 3800 and standard deviation 1400.arrow_forwardA new edition of a very popular textbook will be published a year from now. The publisher currently has 1000 copies on hand and is deciding whether to do another printing before the new edition comes out. The publisher estimates that demand for the book during the next year is governed by the probability distribution in the file P10_31.xlsx. A production run incurs a fixed cost of 15,000 plus a variable cost of 20 per book printed. Books are sold for 190 per book. Any demand that cannot be met incurs a penalty cost of 30 per book, due to loss of goodwill. Up to 1000 of any leftover books can be sold to Barnes and Noble for 45 per book. The publisher is interested in maximizing expected profit. The following print-run sizes are under consideration: 0 (no production run) to 16,000 in increments of 2000. What decision would you recommend? Use simulation with 1000 replications. For your optimal decision, the publisher can be 90% certain that the actual profit associated with remaining sales of the current edition will be between what two values?arrow_forwardYou have been pricing Samsung-Galaxy SmartWatch in several stores. Three stores have the identical price of $600. Each store charges 12 percent APR, has a 30-day grace period, and sends out bills on the first of the month. On further investigation, you find that store A calculates the finance charge by using the average daily balance method, store B uses the adjusted balance method, and store C using the previous balance method. Assume you purchased the SmartWatch on May 5 and made a $100 payment on June 15. What will the finance charge for June be if you made your purchase from store A? From store B? From store C?arrow_forward
- 3. Gursoy is selling Christmas trees. She purchases trees for $10 and sells for $25 each. The number of trees she can sell is normally distributed with a mean of 100 and standard deviation of 30. How many trees should Gursoy purchase?arrow_forwardAnnual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases the pencils for 6 cents each and sells them for 20 cents each. There is a two-month lead time from the initiation to the receipt of an order. The store accountant estimates that the cost in employee time for performing the necessary paperwork to initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lost profit plus an additional 20 cents per pencil, which represents the cost of loss of goodwill.a. Find the optimal value of the reorder point R assuming that the lot size used is the EOQ.b. Find the simultaneous optimal values of Q and R.c. Compare the average annual holding, setup, and stock-out costs of the policies determined in parts (a) and (b).d. What is the safety stock for this item at the optimal solution?arrow_forwardDan'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?arrow_forward
- Company ABC manufactures a seasonal product with uncertain demand. The production cost of the product is $130 per unit, and the product will be sold to the customers at $160 per unit. The demand of the product during a selling season is normally distributed with mean 1000 and standard deviation 300. At the end of the selling season, any unsold quantity can be disposed of in a clearance sale for $80 per unit. In order to reach the required standard imposed by an ethical and sustainable supplier certification program, ABC must improve its corporate social responsibility (CSR) performance. ABC is considering two possible investments that enable it to meet the required standard. These investments will lead to a higher CSR level, which will result in greater market demand. Investment 1 has a lump-sum cost of $2000, and it will increase the mean and standard deviation of the demand by 100 units and 20 units, respectively. Investment 2 has a lump-sum cost of $3000, and it will increase the…arrow_forwardTopgun Records and several movie studios have decided to sign a revenue-sharing contract for CDs. Each CD costs the studio $2 to produce. The CD will be sold to Topgun for $3. Topgun, in turn, prices a CD at $15 and forecasts demand to be normally distributed, with a mean of 5,000 and a standard deviation of 2,000. Any unsold CDs are discounted to $1, and all sell at this price. Topgun will share 35 percent of the revenue with the studio, keeping 65 percent for itself. How many CDs should Topgun order? How many CDs does Topgun expect to sell at a discount? What is the profit that Topgun expects to make? What is the profit that the studio expects to make? Repeat parts (a)–(d) if the studio sells the CD for $2 (instead of $3) but gets 43 percent of revenue.arrow_forwardA book and paper store distributes one specialized monthly magazine. When looking at the sales the last years, they have concluded that the demand for each issue of the magazine will be normally distributed with an expected sale of 250 and a standard deviation of 100. The purchase price for the magazine is $20. and the sales price is $50.The store has an agreement with a second -hand store that buys unsold magazines for $5 each. How many magazines should the store buy of each issue?arrow_forward
- Ken Ells, owner, and operator of Kennels, Inc. is concerned that the person in charge of ordering dog food is often incurring an order expediting expense because he is waiting too long (letting the inventory level drop too low) before ordering. Past data indicates that demand during the lead time (when expediting does not occur) is normally distributed with a mean of 340 pounds and a standard deviation of 45 pounds. Ken wants the probability of running out of dog food to be .03. a. If the current order point is 400 pounds, what is the resulting service level? b. If Ken wants a service level of 97% for dog food, what should be the order point? Please show a correct solution. Thank you.arrow_forwardGiven the following data, calculate the average demand and the standard deviation. Period Actual Demand Deviation Deviation Squared 1 1700 2 2100 3 1900 4 2200 5 2000 6 1800 7 2100 8 2300 9 2100 10 1800 Totalarrow_forwardUse the below formula to calculate the CLV for the following: A manager of a cable company wants to determine if it is strategic to acquire the Brett family, by estimating their household-level CLV. The manager estimates that it will cost the company $80 (A) to get the Bretts’ to switch, and the Bretts’ will generate $150 profit each year (M), with a $30 annual marketing cost to retain them (C). The estimated retention rate (r) is 65%, and the current discount rate is 5%.(d) i) CLV= ii) Based on your calculation, are the Brett’s profitable to the cable company?arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,