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