document.write( "Question 1091951: A firm sells its product for R200 per unit. The cost per unit (per month) is 80 + x , where x represents the number of units sold per month. Define the marginal profit function.? \n" ); document.write( "

Algebra.Com's Answer #706840 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "In that case, if x units are produced and sold, then the cost is the cost per unit, multiplied by the number of units:

\n" ); document.write( " $\"C%28x%29+=+%2880%2Bx%29%28x%29+=+x%5E2%2B80x\"$

\n" ); document.write( "The revenue is the selling price, multiplied by the number of units:

\n" ); document.write( " $\"R%28x%29+=+200x\"$

\n" ); document.write( "The profit function is the difference between the revenue and cost:

\n" ); document.write( " $\"P%28x%29+=+200x+-+%28x%5E2%2B80x%29+=+-x%5E2%2B120x\"$

\n" ); document.write( "And finally the marginal profit function is the derivative of the profit function:

\n" ); document.write( " $\"-2x%2B120\"$
\n" ); document.write( " \n" ); document.write( "

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