Question

There are 50 apple trees in an orchard; each tree produces 800 apples. For each additional tree
planted in the orchard, the output per tree reduces by 10 apples. How many trees should
be added to the existing in the orchard in order to maximize the total output of apples?

What i am wondering is the function that works with this equation because once i know that i can just maximize it and get the answer.

F(X)= 40,000 +800X - ???????

Answer 1

that seems correct

Answer 2

But im having a bit of trouble in finding out the function.

Answer 3

Im assuming that in this case X= Additional trees planted.

Answer 4

well your question says 50 produces 40,000 apples , each additional tree reduces apple by 10
that means F(x)=40,000-10X which is a linear equation and that means it has maximum value of 40,000 because the more your gona add trees more its gona less , X is the number of trees

Answer 5

" For each additional tree
planted in the orchard, the output per tree reduces by 10 apples."

The trouble that i am having is that it states the output per tree reduces by 10. That means if i add 2 additional trees (for example) each tree that i have will output 20 apples less.

Answer 6

exactly, so why would you plant trees if your output gets reduced , leave it at that