Crafters Corporation manufactures two different miniature models of furniture, a table and a chair. The company has 500 feet of lumber, 700 mnchine hours, and 600 direct labor hours available for production. The miniature tables and chairs provide $6 and $4 of contribution margin, respectively. The time and lumber requirements to build a miniature table or chair are as follows: Required: (a) Express Crafters' constrained optimization problem as a linear programming model. (2) Using the graphing approach, three corners are identified: (T=0,C=150 units), (T=100 units, C=0), and (T=50 units, C= 125 units), Determine the optimal product mix and the maximum contribution margin. (3) Which constraints are binding under the optimal mix