A Craftsman Builds Two Kinds of Birdhouses, One for Wrens

A craftsman builds two kinds of birdhouses, one for wrens (X1), and one for bluebirds (X2). Each wren birdhouse takes four hours of labour and four units of lumber. Each bluebird house requires two hours of labour and twelve units of lumber. The craftsman has available 60 hours of labour 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." $$\begin{array} { | l | r | r | r | r | r | } \hline { \text { Bird Houses Solution } } \\\hline \text { Variable } & \text { Value } & \text { Reduced } & \text { Original Val } & \text { Lower Bound } & \text {Upper Bound } \\\hline X 1 & 12 . & 0 . & 6 . & 5 . & 30 . \\\hline X 2 & 6 . & 0 . & 15 . & 3 . & 18 . \\\hline \text { Constraint } & \text { Dual Value } & \text { sack/Surplus } & \text { Original Val} & \text { Lower Bound } & \text {Upper Bound } \\\hline \text { Constraint 1 } & 0.3 & 0 & 60 . & 20 . & 120 . \\\hline \text { Constraint 2 } & 1.2 & 0 . & 120 . & 60 . & 360 . \\\hline\end{array}$$