Asked by Stella
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
Answers
Answered by
MathGuru
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.
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.
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