Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Business Analytics
Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Business Analytics
7th Edition
ISBN: 9781285418681
Author: Cliff Ragsdale
Publisher: Cengage Learning
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Chapter 2, Problem 26QP

American Auto is evaluating their marketing plan for the sedans, SUVs, and trucks they produce. A TV ad featuring this SUV has been developed. The company estimates each showing of this commercial will cost $500,000 and increase sales of SUVs by 3% but reduce sales of trucks by 1% and have no effect of the sales of sedans. The company also has a print ad campaign developed that it can run in various nationally distributed magazines at a cost of $750,000 per title. It is estimated that each magazine title the ad runs in will increase the sales of sedans, SUVs, and trucks by 2%, 1%, and 4%, respectively. The company desires to increase sales of sedans, SUVs, and trucks by at least 3%, 14%, and 4%, respectively, in the least costly manner.

  1. a. Formulate an LP model for this problem
  2. b. Sketch the feasible region.
  3. c. What is the optimal solution?
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