SOLUTION: The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530, Find the marginal cost of producing 40 bicycles How many bicycles can be manufactured so that the m

Algebra ->  College  -> Linear Algebra -> SOLUTION: The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530, Find the marginal cost of producing 40 bicycles How many bicycles can be manufactured so that the m      Log On


   



Question 1058115: The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530,
Find the marginal cost of producing 40 bicycles
How many bicycles can be manufactured so that the marginal cost equals $130.
solve C(x)=130

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The marginal cost C(in dollars) to produce x bicycles is C(x)=x^2-40x+530,
Find the marginal cost of producing 40 bicycles
C(40) = 40^2 - 40*40 + 530 = 1600 - 1600 + 530 = $530
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How many bicycles can be manufactured so that the marginal cost equals $130.
solve C(x)=130
x^2 - 40x + 530 = 130
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x^2 - 40x + 400 = 0
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(x-20)(x-20) = 0
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x = 20 bicycles
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Cheers,
Stan H.
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