mathsurgently needed
posted by Anonymous .
There is a garden of apples and the profit from a garden of apple trees is given by
f( x ) = 70 + 30 x^2  (1/3) x^3,
where x = number of apples trees per acre. How many trees per acre will maximize the profit?

f'(x) = 60xx^2 = x(60x)
so, max profit when x=60 
Solution:
max{70+30 x^2x^3/3} = 36070
is at x = 60
Respond to this Question
Similar Questions

business calculas
An apple orchard has an average yield of 38 bushels of apples/tree if the density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 2 bushels. Letting x denote the number of trees beyond 24/acre, find … 
PreAlgebra
Write an equation to solve the following problem. During the season, two apple trees and three pear trees produced a total of 126 pieces of fruit. Each apple tree produced the same number of apples, and each pear tree produced two … 
HELLLPPPPPPPP!!!!!!
Write an equation to solve the following problem. During the season, two apple trees and three pear trees produced a total of 126 pieces of fruit. Each apple tree produced the same number of apples, and each pear tree produced two … 
math
There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produced drops by 5. What is the optimal number of … 
maths plse help me..
A fruit vendor buys 300 apples at Rs 50 per dozen. The vendor sold 200 of them at Rs 50 per 10 apples. At what rate per apple should the vendor sell the remaining apples to make an overall profit of 12% ? 
math
An apple orchard has an average yield of 36 bushels of apples per tree if tree density is 26 trees per acre. For each unit increase in tree density, the yield decreases by 2 bushels per tree. How many trees per acre should be planted … 
maths
a grocey man sells 300 apples at Rs 50 per dozen. he sells 200 apples from it at Rs 50 for 10 apples. what will the price per apple for the remaining apples to get an overall profit of 12% 
Calculus
There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produced drops by 5. What is the optimal number of … 
Math
An apple farm yields an average of 39 bushels of apples per tree when 21 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of … 
ALGEBRA 2
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make $3.00 profit per …