Apple orchard

on3winyoureyes

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An apple orcherer looked back at files and discovered that they planted 300 trees per year and that they produced 80 lbs of apples. for every tree planted (up to 100 trees per acre), the apple output decreases by .2 lbs apples.

a. what are the equations?
b. find the amount of trees that'll maximize the apple output per acre
 
An apple orcherer looked back at files and discovered that they planted 300 trees per year and that they produced 80 lbs of apples. for every tree planted (up to 100 trees per acre), the apple output decreases by .2 lbs apples.

a. what are the equations?
b. find the amount of trees that'll maximize the apple output per acre
Please reply with the exact text of the exercise, along with a clear listing of your thoughts and efforts so far (starting with what you learned back in algebra). Thank you! ;)
 
an apple orchardist estimates from past records that if 300 trees are planted per acre, each tree will produce 80 pounds of apples per year, if for each additional tree planted per acre (up to 100), the average yield drops 0.2 pounds per tree

a. find the equation(s) we'll use in this case
b.find the number of trees per acre that'll maximize the total output.


is this the right formula (300+x) (80-x)
then do we multiply it out, find the derivative, and determine x?
 
an apple orchardist estimates from past records that if 300 trees are planted per acre,
each tree will produce 80 pounds of apples per year, if for each additional tree planted per acre (up to 100),
the average yield drops >> 0.2 pounds < < < per tree

a. find the equation(s) we'll use in this case
b.find the number of trees per acre that'll maximize the total output.


is this the right formula (300+x) (80-x) \(\displaystyle \ \ \ \ \ \ \ \)No, you didn't represent the 0.2 pound average drop.

then do we multiply it out, find the derivative, and determine x?


Look at maximizing (300 + x)(80 - 0.2x).
 
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