B.10 A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second

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• B.10 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.

a) Write out the objective and constraints.

b) Solve graphically.

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