SOLUTION: Mrs. Maths research has shown that if 100 apple trees are planted then the annual revenue is $90 per tree. If more trees are planted they have less room to grow and generate fewer
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Question 866958: Mrs. Maths research has shown that if 100 apple trees are planted then the annual revenue is $90 per tree. If more trees are planted they have less room to grow and generate fewer apples per tree. As a result the annual revenue per tree is reduced by $0.70 for each additional tree planted. How many trees should be planted to maximize the revenue? Round your answer appropriately Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! If 100 apple trees are planted then the annual revenue is $90 per tree.
If more trees are planted they have less room to grow and generate fewer apples per tree.
As a result the annual revenue per tree is reduced by $0.70 for each additional tree planted.
How many trees should be planted to maximize the revenue?
:
Let x = no. of trees over 100
Let y = total revenue from the trees
:
y = (100+x)*(90-.70x)
FOIL
y = 9000 - 70x + 90x - .70x^2
A quadratic equation
y = -.7x^2 + 20x + 9000
At the axis of symmetry, x gives max revenue
x =
x = 14
We can say at 114 trees, we will have max revenue
