A contractor builds two types of homes. The Carolina requiresone lot, $160,000 capital, and 160 worker-days of labor, whereasthe Savannah requires one lot, $240,000 capital, and 160worker-days of labor. The contractor owns 300 lots and has$48,000,000 available capital and 43,200 worker-days of labor. Theprofit on the Carolina is $60,000 and the profit on the Savannah is$70,000.
1)Find how many of each type of home should be built to maximizeprofit.
aCarolina homes
bSavannah homes
2Find the maximum possible profit.
