A commercial cherry grower estimates from past records that if 20 trees are planted per​ acre, then each tree will yield an average of 36 pounds of cherries per season.​ if, for each additional tree planted per acre​ (up to 25​), the average yield per tree is reduced by 1​ pound, how many trees should be planted per acre to obtain the maximum yield per​ acre? what is the maximum​ yield?

Answer:28 trees per acre784 lbs per acreStep-by-step explanation:If x is the number of trees planted per acre, we are told the yield per tree is ...   36 -(x -20) = 56 -x . . . lbsThe total yield per acre is the product of the number of trees and the yield per tree:   y = x(56 -x)This function describes a parabolic curve with zeros at x=0 and x=56. The curve opens downward, so will have its peak value halfway between these zeros, at x = (0 +56)/2 = 28.28 tree per acre should be planted to maximize yield.That yield will be (28)(56 -28) = 784 pounds per acre._____Additional commentWe have to assume that the remark "up to 25" refers to additional trees per acre, rather than the total number of trees per acre.