I can't remember how to set up an equation for this question

Question

there are 30 peach trees in an orchard. each tree produces 500 peaches. for each additional tree planted in the orchard, the output per tree drops by 5 peaches. how many additional peach trees should boland add to maximize the production of peaches uf his field can only support 90 trees

Answer 1

You can start by finding the restraints of the problem. 

 

Set up an equation to model how many peaches will be produced for each additional tree, taking into account the fact that each tree begins by producing 500 peaches but loses an output of 5 peaches for each tree added to the original 30. 

 

You will then need to find the critical points and determine the behavior of the function between those critical points.