U Question 2 A craftsman named William Barnes builds two kinds of birdhouses, one for wrens and a second for bluebirds. Each wren birdhouse requires at least 4 feet of lumber and 3 units of tin for the root Each bluebird house requires at least 9 feet of lumber and 2 units of tin. The craftsman requires total of at least 125 feet of lumber, and 105 units of tin during the production of birdhouses. For quality control purposes up to 60 hours of Inspection time is available. Each birdhouse requires up to 1.5 hours of inspection time. Mr. Barnes is committed to produce at least 10 bluebird houses To make a Wren house it costs Mr. Barnes $7.85 each, and bluebird houses $11.70 each Determine the optimal product mix based on minimizing cost: a. This is a minimization problem b. William Bames should make 28.33 wren birdhouses and 10 bluebird houses. c. The optimal mix of birdhouses will have a cost of $ $339.42 for William Barnes. d. Are there any unused resources? yes If soot, what constraint and how much/or not? both lumber and tin: 125 of lu e. What impact would there be if tin was increased by 4 units? profit would increase by abou