# Answer on Algebra Question for StellaD

Question #8446

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?

A. 4

B. 31

C. 31 and 4

D. 27

A. 4

B. 31

C. 31 and 4

D. 27

Expert's answer

The profit is P = R - C = x^2 - 23x - 108 .

The break-even value is x, when P

= 0:

x^2 - 23x - 108 = 0

x = {27, -4}

The value is 27

Answer: D. 27

The break-even value is x, when P

= 0:

x^2 - 23x - 108 = 0

x = {27, -4}

The value is 27

Answer: D. 27

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