SOLUTION: Please help me with this word problem, Can't figure it out. Find the sales necessary to break even (R-C=0) for the cost C of producing x units and the revenue R obtained by sellin

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Question 772016: Please help me with this word problem, Can't figure it out.
Find the sales necessary to break even (R-C=0) for the cost C of producing x units and the revenue R obtained by selling x units (round to the nearest whole unit)
+C=6%28sqrtx%29+%2B+4000+ +R=4.9x+
I tried R-C=0, and get stuck with +4.9x-6%28sqrtx%29-4000=0+ or +24.01%28x%5E2%29-36x-16000000=0+

Found 2 solutions by John10, MathTherapy:
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
You started the problem brilliantly by setting R = C
6* SQRT(x) + 4000 = 4.9x
4.9x - 6SQRT(x) - 4000 = 0
From here, you will treat SQRT(x) as Y. Then you rewrite the equation in Y
Since SQRT(x) = Y then x = Y^2
4.9Y^2 - 6Y - 4000 = 0
Solve for Y and choose positive Y only.
After you found Y, you will substitute Y = SQRT(x) and solve for x.
Hope it helps you!
John10 (john100185@yahoo.com)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me with this word problem, Can't figure it out.
Find the sales necessary to break even (R-C=0) for the cost C of producing x units and the revenue R obtained by selling x units (round to the nearest whole unit)
+C=6%28sqrtx%29+%2B+4000+ +R=4.9x+
I tried R-C=0, and get stuck with +4.9x-6%28sqrtx%29-4000=0+ or +24.01%28x%5E2%29-36x-16000000=0+

x+=+852.0696724highlight_green%28852%29 units

You can do the check!!

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