Question
A craftsman builds two kinds of birdhouses, one for wrens, and one for bluebirds. Each wren birdhouse takes four hours of labor and four units
A craftsman builds two kinds of birdhouses, one for wrens, and one for bluebirds. Each wren birdhouse takes four hours of labor and four units of lumber. Each bluebird house requires two hours of labor and twelve units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses profit $6 each and bluebird houses profit $15 each. Formulate the craftsman's profit maximization problem using the following decision variables:
Xw: Number of wren houses Xb: Number of bluebird houses
| A. | min 6Xw + 15Xb subject to: 4Xw + 2Xb <= 60; 4Xw + 12Xb <= 120; Xw, Xb >= 0 | |
| B. | max 6Xw + 15Xb subject to: 4Xw + 2Xb <= 60; 4Xw + 12Xb <= 120; Xw, Xb >= 0; Xw, Xb are integers | |
| C. | max 15Xw + 6Xb subject to: 4Xw + 4Xb <= 60; 2Xw + 12Xb <= 120; Xw, Xb >= 0; Xw, Xb are integers | |
| D. | min 15Xw + 6Xb subject to: 4Xw + 4Xb <= 60; 2Xw + 12Xb <= 120; Xw, Xb >= 0 |
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Operations Management in the Supply Chain Decisions and Cases
Authors: Roger Schroeder, M. Johnny Rungtusanatham, Susan Goldstein
6th edition
73525243, 978-0073525242
