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?

Question

A. 4
B. 31
C. 31 and 4
D. 27

Answer 1

Break-even point: C = R

23x + 73 = x^2 - 35

Set equation equal to 0:

0 = x^2 - 23x - 108

Try to factor:

0 = (x - 27)(x + 4)

Set each factor equal to 0:

x - 27 = 0
x + 4 = 0

Possible solutions: -4, 27

Throw out the negative number and you will have your answer!

I hope this helps.