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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+ 15Xbsubject to: 4Xw+ 2Xb<= 60; 4Xw+ 12Xb<= 120; Xw, Xb>= 0 | |
B. | min 15Xw+ 6Xbsubject to: 4Xw+ 4Xb<= 60; 2Xw+ 12Xb<= 120; Xw, Xb>= 0 | |
C. | max 15Xw+ 6Xbsubject to: 4Xw+ 4Xb<= 60; 2Xw+ 12Xb<= 120; Xw, Xb>= 0; Xw, Xbare integers | |
D. | max 6Xw+ 15Xbsubject to: 4Xw+ 2Xb<= 60; 4Xw+ 12Xb<= 120; Xw, Xb>= 0; Xw, Xbare integers |
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