The housing contractor has subdivided the farm into 100 building lots. He has designed two kinds of homes for lots: colonial and ranch style. The colonial needs $30,000 of capital and produces the profit of $3000 when sold. The ranch-style house needs $40,000 of capital and gives the $7000 profit. If he has $3.8 million of capital on hand, how many houses of each kind must he build for maximum profit?