In an apple orchard, if 24 trees are planted per acre, then each tree yields 600 apples per year. For each additional tree planted per acre, the number of apples produced by each tree decreases by 12 per year. How many trees should be planted per acre in order to obtain the most apples

the number of trees planted is 37

Step-by-step explanation:

The computation of the number of trees planted is shown below:

Let us assume the number of tree planted be x

Now the extra trees would be

= x - 24

And, the tree yield is 600 apples also the tree decrease by 12 per year

Now the equation is

y = x(600 - 12(x - 24))

y = -12x^2 + 888x

y = -24 + 888x

x = 37

Hence, the number of trees planted is 37