Asked by Sidney
A farmer is planting a small orchard. He is advised that if he plants up to 60 trees of a particular type, average harvest from each tree will be about 120 kg, but for each additional tree planted the expected yield will go down by an average of 2 kg per tree due to overcrowding. How many trees should he plant in order to produce the maximum yield of fruit?
Answers
Answered by
Steve
Let the number of extra trees be x. Then the total yield y is
y=(60+x)(120-2x)
Now just find where y'=0 to get the maximum yield
y=(60+x)(120-2x)
Now just find where y'=0 to get the maximum yield