Thread: Maximization/Word Problem

An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 20 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?



Can anyone help explain how to set this problem up/solve it? Thanks!!!

Originally Posted by Chrisss

An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 20 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?

let = number of unit increases in tree density

= yield in bushels per acre

yield = (bushels per tree)(trees per acre)



maximize the quadratic

Ah I got it right! I understand the math the wording just confused me. Thanks!