A farmer finds that if she plants 65 trees per acre each tre

A farmer finds that if she plants 65 trees per acre, each tree will yield 65 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest? Trees Give your answer rounded to the nearest whole number.

Solution

Solution: given in one acre 65 tree plants & at one tree 65 bushels of fruit

total bushels of fruit in one acre are 65*65

let we x tree are plants in one acre and therefore 2x bushels of fruit are decresses in one tree

therefore total bushels of fruit are=(65+x)*(65-2x)          

for maximize of eq. we diffrentiate and equte to zero, we get x=-65/4 negetive sign neglect becouse no. is positive then after rounded figure x=16 tree