Question 1154437
R(x)=200x-2x^2; C(x)=-x^2+25x+3100; 
(0 less than or equal to x less than or equal to 100.) 
for breakeven R(x)=C(x) 
200x-2x^2=x^2+25x+3100
simplify 
x^2-175x +3100 =0 
(x-20)(x-155)=0 
x=20 or 155 
but x cannot be greater than 100 
so x=20