A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to Maximize the objective value. The optimum solution is: Number of wren houses to be produced = (round your response to two decimal places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.6: Production Process Models
Problem 26P
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A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each
wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units
of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 each
and bluebird houses yield a profit of $15 each.
The aim of the objective function for William should be to Maximize the objective value.
The optimum solution is:
Number of wren houses to be produced = (round your response to two decimal places).
Transcribed Image Text:A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse takes 4 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available 60 hours of labor and 120 units of lumber. Wren houses yield a profit of $6 each and bluebird houses yield a profit of $15 each. The aim of the objective function for William should be to Maximize the objective value. The optimum solution is: Number of wren houses to be produced = (round your response to two decimal places).
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