I need to Write the simplex matrix to maximize the profit in the following problem:
A contractor builds two types of homes. The Carolina model requires one lot, $160,000 in capital, and 160 worker-days of labor and the Savannah model requires one lot, $240,000 in capital, and 160 worker-days of labor. The contractor owns 300 lots, has $48,000,000 available capital, and has 43,200 available worker- days of labor. The profit on the Carolina model is $40,000. The profit on the Savannah model is $50,000. Find how many of each type of home should be built to maximize profit.
my answer is:
Maximize: F = 40,000x + 50,000y, subject to :
x + y ≤ 300
160,000x + 240,000y ≤ 48,000,000
160x + 160y ≤ 43,200
is that correct? my textbook tells me that's not correct, I don't understand why.