document.write( "Question 1058124: Marginal cost can be thought of as the cost of producing one additional unit of output. the marginal cost C (in dollars) to produce x bicycles
\n" ); document.write( " is C(x)x^2-40x+530\r
\n" ); document.write( "\n" ); document.write( "(C)economic theory states that, to maximize profit, production should continue until marginal revenue equals marginal cost. assuming that marginal revenue equals $230, how much bicycles should be manufactured ? \n" ); document.write( "

Algebra.Com's Answer #673409 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+230+=+C%28x%29+\"$
\n" ); document.write( " $\"+230+=+x%5E2++-+40x+%2B+530+\"$
\n" ); document.write( " $\"+x%5E2+-+40x+=+-300+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+x%5E2+-+40x+%2B+%2840%2F2%29%5E2+=+-300+%2B+%2840%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+-+40x+%2B+400++=+-300+%2B+400+\"$
\n" ); document.write( " $\"+%28+x+-+20+%29%5E2+=+100+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+x+-+20+=+10+\"$
\n" ); document.write( " $\"+x+=+30+\"$
\n" ); document.write( "and, taking the negative square root of $\"+100+\"$ ,
\n" ); document.write( " $\"+x+-+20+=+-10+\"$
\n" ); document.write( " $\"+x+=+10+\"$
\n" ); document.write( "This says either $\"+x+=+10+\"$ or $\"+x+=+30+\"$ works
\n" ); document.write( "--------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-10%2C+50%2C+-100%2C+500%2C+x%5E2+-+40x+%2B+300+%29+\"$ \n" ); document.write( "

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