(a) The aim of the objective function for William should be to ____ the objective value. (b) Define all decision variables (c) State the objective function
1. 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
48 hours of labor and 120 units of lumber. Wren houses yield a profit of $8 each and bluebird
houses yield a profit of $15 each.
(a) The aim of the objective function for William should be to ____ the objective value.
(b) Define all decision variables
(c) State the objective function
(d) State all constraints
(e) The optimal solution turns out to be W=8.4 and B=7.2 with an optimal value of 175.2. What
is the actual optimal solution if W and B must take integer values?
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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. Eachbluebird house requires 2 hours of labor and 12 units of lumber. The craftsman has available48 hours of labor and 120 units of lumber. Wren houses yield a profit of $8 each and bluebirdhouses yield a profit of $15 each.
(d) State all constraints
(e) The optimal solution turns out to be W=8.4 and B=7.2 with an optimal value of 175.2. What is the actual optimal solution if W and B must take integer values?
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