SOLUTION: There are 90 apple trees in an orchard. Each tree produces 1500 apples.
There is a limited amount of water that is used for irrigation. Because of this, for each additional tree
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-> SOLUTION: There are 90 apple trees in an orchard. Each tree produces 1500 apples.
There is a limited amount of water that is used for irrigation. Because of this, for each additional tree
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Question 1036983: There are 90 apple trees in an orchard. Each tree produces 1500 apples.
There is a limited amount of water that is used for irrigation. Because of this, for each additional tree planted in the orchard, the output per tree drops by 9 apples.
The owner of the orchard is considering planting more trees, but is concerned that if she plants too many, that overall production will drop.
How many trees should be added to the existing orchard in order to maximize the total output of trees ?
Production = Number of Trees * Output Per Tree
Let x = The Number of Trees that will be Added to the Orchard
Number of Trees =( 90 + x )
Output Per Tree = ( 1500 - 9x ) Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Maximize the function (90+x)(1500-9x)
This is -9x^2+690x+135000
Set it equal to 0, and the vertex, or the x value of the vertex, which is wha is needed, is -b/2a. This is -690/-18=38.3333 or 38 additional trees.
