Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the...

Extracted text: Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 47,500 labor-hours and $3,413,000 available for the contractor's use. Belfair 3,700 $279,600 $25,000 Wexford 5,000 Aries 3,000 $205,000 $20,000 Labor-hours Capital Profit $350,000 $30,000 a. Building how many of each type of house will maximize her profit b. What is the maximum possible profit?