<PRE><B>Question 598211</B>
The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x? 
.
Break-even point is when 
C=R
23x+73 = x^2-35
73 = x^2-23x-35
0 = x^2-23x-108
0 = (x+4)(x-27)
x = {-4, 27}
Throw out the negative solution (extraneous) leaving:
x = 27 units</PRE>