A housing contractor has subdivided a farm into 800 lots. He has designed the colonial
house requiring $30,000 of capital for a pro t of $4000, the ranch house requires $40,000 of
capital for a pro t of $8000, and the Tudor house requiring $50,000 of capital for a pro t
of $10000. He must build at most three times as many Tudor as colonial. If he has 34.92
million in capital, how many of each type should he build to maximize his pro t?