Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 11, Problem 62P
An automobile manufacturer is considering whether to introduce a new model called the Racer. The profitability of the Racer depends on the following factors:
- The fixed cost of developing the Racer is triangularly distributed with parameters $3, $4, and $5, all in billions.
- Year 1 sales are
normally distributed with mean 200,000 and standard deviation 50,000. Year 2 sales are normally distributed with mean equal to actual year 1 sales and standard deviation 50,000. Year 3 sales are normally distributed with mean equal to actual year 2 sales and standard deviation 50,000. - The selling price in year 1 is $25,000. The year 2 selling price will be 1.05[year 1 price + $50 (% diff1)] where % diff1 is the number of percentage points by which actual year 1 sales differ from expected year 1 sales. The 1.05 factor accounts for inflation. For example, if the year 1 sales figure is 180,000, which is 10 percentage points below the expected year 1 sales, then the year 2 price will be 1.05[25,000 + 50(− 10)] = $25,725. Similarly, the year 3 price will be 1.05[year 2 price + $50(% diff2)] where % diff2 is the percentage by which actual year 2 sales differ from expected year 2 sales.
- The variable cost in year 1 is triangularly distributed with parameters $ 10,000, $ 12,000, and $ 15,000, and it is assumed to increase by 5% each year.
Your goal is to estimate the
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Chapter 11 Solutions
Practical Management Science
Ch. 11.2 - If the number of competitors in Example 11.1...Ch. 11.2 - In Example 11.1, the possible profits vary from...Ch. 11.2 - Referring to Example 11.1, if the average bid for...Ch. 11.2 - See how sensitive the results in Example 11.2 are...Ch. 11.2 - In Example 11.2, the gamma distribution was used...Ch. 11.2 - Prob. 6PCh. 11.2 - In Example 11.3, suppose you want to run five...Ch. 11.2 - In Example 11.3, if a batch fails to pass...Ch. 11.3 - Rerun the new car simulation from Example 11.4,...Ch. 11.3 - Rerun the new car simulation from Example 11.4,...
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