Originally Posted by

**jhonwashington** Hello:

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.

thank you.