Question 1154483
For break even 

R(x)= C(x)

Equate and simplify.

200x-2x^2 = -x^2+25x+3100 

x^2-175x +3100=0

(x-20)(x-155)=0

x= 20 or x=155

x<100

therefore x=20

The manufacturer must produce 20 units to break even