Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given



So, we have:


Required
The additional trees to be planted for maximum yield
The function is:


Open bracket



Rewrite as:

Differentiate

Equate
to 0 and solve for x to get the maximum of x


Divide by -4

The farmer should plant 14 additional trees, for maximum yield.
Angles 1,7 and 2,8 are alternate exterior angle.
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.