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A farmer finds that if she plants 80 trees per acre, each tree will yield 20 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest?

 Jun 16, 2020
 #1
avatar+179 
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 Total for 80 per acre = 80*20 = 1600

 

X is number of plants added

 

New number is now 80 + X

 

Each tree only brings 16 fruits now RIP

 

The total number of bushels = (80 + X ) * 16 = 80*16 +16 X

 

No more than 1600 

 

1360 +16X has to be larger than 1600

 

16 X has to be larger than 225

 

X should be greater than = 13.28

 

X has to be integer

 

15 trees must be added

 

Yay!

 

Edit:

How is this calculus... or did you mean calculate.

 Jun 16, 2020
edited by Varxaax  Jun 16, 2020
edited by Varxaax  Jun 16, 2020
 #2
avatar+318 
-1

its marking 14 as wrong!! and no clue but im enrolled in calculus I senior in college and this is the question LOL! 

mharrigan920  Jun 16, 2020
 #3
avatar+179 
-1

ah c**p 80 not 75. lemme change it idk why I read it as 75 lol

Varxaax  Jun 16, 2020

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