y = yield/tree
if n>60,
total crop = y = n (120 - 2n)
y = 120 n - 2 n^2
look for dy/dn = 0
0 = dy/dn = 120 -4n
4 n = 120
n = 30
BUT we said yield per plant drop only applied for n > 60 so plant 60
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?
1 answer
1 answer