A craftsman builds two kinds of birdhouses, one for wrens (X1 ), and one for bluebirds (X2 ). 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.
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."
The optimal solution is X1 = 12, X2 = 6, which earns a profit of 12($6 ) + 6($15 ) = $162. Both labor and lumber are used up, so there are no resources unused. Additional labor is worth $0.30 per hour, and additional lumber is worth $1.20 per unit.
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