A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and barley costs $150 per acre, and the farmer has only $2400 to spend. If the estimated profit of an acre of wheat is $450 and the estimated profit of an acre of barley is $350, how many acres of each should the farmer plant to maximize his profits?

Answer 1

Just as with the baker, let
x = acres of wheat
y = acres of barley

You want to

maximize p=450x+350y subject to

x+y >= 15
x+y <= 20
200x + 150y <= 2400

Answer 2

not helping

Answer 3

It is very helpful, all you have to do is plug in the equations into a graph and then plug the intercepts back into the equations. Do some work for yourself, not everyone is going to feed you with a silver spoon.

Answer 4

Brat

Answer 5

By the way, the answer is 16 barley 0 wheat

Answer 6

Wait but it says for each. so how about for wheat