The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. A contractor builds three types of houses: the Aries, the Beifair, and the Wexford. Each house requires one lot, and the following table gives the nun needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 49,400 labor-hours, and $3,479,200 available for t (a) Bullding how many of each type of house will maximize his profit? AriesBelfairWexfordhouseshouseshouses (b) What is the maximum possible profit