Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 10.5, Problem 19P
In Problem 12 of the previous section, suppose that the demand for cars is
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The manager of a fish market pays 80 cents each for cod and sells them for $1.50 each. Fish left over at the end of the day are discarded. The daily demand can be approximated by a normal distribution having a mean of 300 and a standard deviation of 50. To maximize his expected profit, how many cod should the manager buy before the market opens each day?
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Consider a toy retailer with warehouses in St. Louis and Kansas City, Missouri. The warehouses stock an identical popular toy delivered to stores in the two cities. Assume a warehouse serves only stores in its city. Weekly demand for St. Louis is normally distributed with mean 2,000, and standard deviation 400 (that is N(μ = 2,000, σ = 400)). Weekly demand for KansasCity is distributed N(μ = 2,000, σ = 300). We assume that the two cities are far enough apart so that demand in the two cities is independent.The following parameters are seen by both warehouses:Replenishment lead time in weeks ~ N(μ = 2, σ = 0.1);Fixed shipping cost of replenishment: $500;Cost per toy: $10; andHolding cost per toy 20 percent of toy’s value per year.How many toys should each location order at a time and when should they reorder if they want a 99 percent cycle service level? What if they pool the two locations?
Chapter 10 Solutions
Practical Management Science
Ch. 10.2 - Use the RAND function and the Copy command to...Ch. 10.2 - Use Excels functions (not @RISK) to generate 1000...Ch. 10.2 - Use @RISK to draw a uniform distribution from 400...Ch. 10.2 - Use @RISK to draw a normal distribution with mean...Ch. 10.2 - Use @RISK to draw a triangular distribution with...Ch. 10.2 - Use @RISK to draw a binomial distribution that...Ch. 10.2 - Use @RISK to draw a triangular distribution with...Ch. 10.2 - We all hate to keep track of small change. By...Ch. 10.4 - Prob. 11PCh. 10.4 - In August of the current year, a car dealer is...
Ch. 10.4 - Prob. 13PCh. 10.4 - Prob. 14PCh. 10.4 - Prob. 15PCh. 10.5 - If you add several normally distributed random...Ch. 10.5 - In Problem 11 from the previous section, we stated...Ch. 10.5 - Continuing the previous problem, assume, as in...Ch. 10.5 - In Problem 12 of the previous section, suppose...Ch. 10.5 - Use @RISK to analyze the sweatshirt situation in...Ch. 10.5 - Although the normal distribution is a reasonable...Ch. 10.6 - When you use @RISKs correlation feature to...Ch. 10.6 - Prob. 24PCh. 10.6 - Prob. 25PCh. 10.6 - Prob. 28PCh. 10 - Six months before its annual convention, the...Ch. 10 - Prob. 30PCh. 10 - A new edition of a very popular textbook will be...Ch. 10 - Prob. 32PCh. 10 - W. L. Brown, a direct marketer of womens clothing,...Ch. 10 - Assume that all of a companys job applicants must...Ch. 10 - Lemingtons is trying to determine how many Jean...Ch. 10 - Dilberts Department Store is trying to determine...Ch. 10 - It is surprising (but true) that if 23 people are...Ch. 10 - Prob. 40PCh. 10 - At the beginning of each week, a machine is in one...Ch. 10 - Simulation can be used to illustrate a number of...Ch. 10 - Prob. 43PCh. 10 - Prob. 46PCh. 10 - If you want to replicate the results of a...Ch. 10 - Suppose you simulate a gambling situation where...Ch. 10 - Prob. 49PCh. 10 - Big Hit Video must determine how many copies of a...Ch. 10 - Prob. 51PCh. 10 - Prob. 52PCh. 10 - Why is the RISKCORRMAT function necessary? How...Ch. 10 - Consider the claim that normally distributed...Ch. 10 - Prob. 55PCh. 10 - When you use a RISKSIMTABLE function for a...Ch. 10 - Consider a situation where there is a cost that is...
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- When you use a RISKSIMTABLE function for a decision variable, such as the order quantity in the Walton model, explain how this provides a fair comparison across the different values tested.arrow_forwardSometimes curvature in a scatterplot can be fit adequately (especially to the naked eye) by several trend lines. We discussed the exponential trend line, and the power trend line is discussed in the previous problem. Still another fairly simple trend line is the parabola, a polynomial of order 2 (also called a quadratic). For the demand-price data in the file P13_10.xlsx, fit all three of these types of trend lines to the data, and calculate the MAPE for each. Which provides the best fit? (Hint: Note that a polynomial of order 2 is still another of Excels Trend line options.)arrow_forwardReferring to Example 11.1, if the average bid for each competitor stays the same, but their bids exhibit less variability, does Millers optimal bid increase or decrease? To study this question, assume that each competitors bid, expressed as a multiple of Millers cost to complete the project, follows each of the following distributions. a. Triangular with parameters 1.0, 1.3, and 2.4 b. Triangular with parameters 1.2, 1.3, and 2.2 c. Use @RISKs Define Distributions window to check that the distributions in parts a and b have the same mean as the original triangular distribution in the example, but smaller standard deviations. What is the common mean? Why is it not the same as the most likely value, 1.3?arrow_forward
- Suppose that the manager of a construction supply house determined from historical recordsthat demand for sand during lead time averages 50 tons. In addition, suppose the managerdetermined that demand during lead time could be described by a normal distribution thathas a mean of 50 tons and a standard deviation of 5 tons. Answer these questions, assumingthat the manager is willing to accept a stockout risk of no more than 3 percent:a. What value of z is appropriate?arrow_forwardA company needs to order raw material and demand is forecast to be normally distributed with a mean of 250 gallons and standard deviation of 100 gallons. One gallon of raw material produces one gallon of product and the product sells for $25/gallon. Raw material costs $10/gallon but the company must also spend $5/gallon for disposal of any UNUSED raw material. If demand is higher than production capacity, the company sells what it can make and loses the rest of demand. a) If they buy 400 gallons of raw material, how much should they expect to spend on disposal costs (in $)? b) To have a 92% probability of satisfying demand, how many gallons of raw material should be bought?arrow_forwardCindy and Mindy were in the same student group while studying for their MBA atUTD. They graduated together but started working as inventory managers in different but competingretailers selling air conditioners in Dallas. While in school, they learned only the economic orderquantity model for finding the optimal order sizes. Now they are both purchasing air conditionersfrom Trane to sell at their stores. Cindy knows that the order setup cost with Trane is $200 and theannual inventory holding cost is $400. Cindy expects that Mindy has the same cost figures. Cindyhas accidentally learned that Mindy is ordering 10 air conditions every time she orders. Show howCindy can use this information to deduce the demand Mindy faces. Explain why would competitorsway want to know each other’s demandarrow_forward
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- 35) Orders for a stock trading system are coded as follows from left to right: i. The first character is 'B' for a "buy" order, 'S' for a "sell" order ii. The number of shares to buy or sell iii. The stock ticker symbol in all uppercase letters for a "buy" order or alf lowercase letters for a "sell" order iv. If the order is a "limit" order with a specific buy/sell price, the requested price in pennies, otherwise the price should be omitted and the order will be a market order at the current asking price for the stock v. If the order is a "limit" order with an expiration time, the character 'T' followed by the number of minutes until the order expires and should no longer be executedarrow_forwardA 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 1D2 = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost 1H2 = $5/unitsDesired cycle@service level = 90 percentLead time 1L2 = 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?arrow_forwardThe retail price of a Mother’s Day cake in San Ramon Safeway is $30.00. A local bakery sells the cakes to the Safeway at $20.00. The Safeway will dispose of all of the unsold cakes at 50% off the retail price, at the end of the Mother’s Day weekend. The manager in Safeway estimates that demand for this cake during the Mother’s Day weekend is Normal Distribution with a mean of 100 cakes and a standard deviation of 50 cakes. (1) How many cakes should San Ramon Safeway order from the bakery? (2) If the store manager learned a new forecast method in a class that would reduce the standard deviation of estimated demand from 50 to 25 (mean remains 100), how many cakes should San Ramon Safeway order from the local bakery?arrow_forward
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