Thread: a- Write the simplex matrix to maximize the profit.

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.

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.

Recheck the question, if what you have type is correct, then the constraint is not relevant as is always stricter. Also you have not given the non-negativity constraints and

CB