Maxima for max output

Question

How can i find a maxpoint of equation

For example : y=3.2155x+35.85

now i want two x: x1+x2 at which y1+y2 is max.

where x1+x2=30

I want to find values of x1 and x2.

Answer 1

instead of your numbers I use a and b y1=ax1+b y2=ax2+b y1+y2=a(x1+x2)+b=a*30+b so y1+y2 are the same für all x1, x2 with x1+x2=30