Question

An apple farm yields an avg of 41 bushels of apples per tree when 25 trees are planted on an acre. Each time 1 more tree is planted, the yield decreases by 1 bushel per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield?

Answer 1

@timo86m

Answer 2

@agent0smith

Answer 3

@wio :D

Answer 4

Okay, so let \(x\) be the number of trees over 25 that are planted.
The number of trees will be \(25+x\)
The number bushels per tree is \(41-x\)
The number of bushes is \((25+x)(41-x)\)

If you expand this, it will be a quadratic function. You can find the vertex to find the maximum.