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A Craftsman Builds Two Kinds of Birdhouses, One for Wrens

Question 61

Essay

A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes two hours of labor and two units of lumber. Each bluebird house requires three hours of labor and eight units of lumber. The craftsman has available 80 hours of labor and 160 units of lumber. Wren houses profit $4 each and bluebird houses profit $12 each.
Use the software output that follows to interpret the problem solution. Include a statement of the solution quantities (how many of which product), a statement of the maximum profit achieved by your product mix, and a statement of "resources unused" and "shadow prices."
A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes two hours of labor and two units of lumber. Each bluebird house requires three hours of labor and eight units of lumber. The craftsman has available 80 hours of labor and 160 units of lumber. Wren houses profit $4 each and bluebird houses profit $12 each. Use the software output that follows to interpret the problem solution. Include a statement of the solution quantities (how many of which product), a statement of the maximum profit achieved by your product mix, and a statement of  resources unused  and  shadow prices.

Correct Answer:

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The optimal solution is X1 = 16, X2 = 16...

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