document.write( "Question 1187932: 10. The total cost to produce x units of paint is C(x) = (5x + 3) (7x + 4). Find the marginal average cost function. \n" ); document.write( "
Algebra.Com's Answer #818955 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "The marginal average cost function (MC) is the derivative of the average cost function (AC).\r
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\n" ); document.write( "\n" ); document.write( "\"AC%28x%29+=+C%28x%29+%2F+x\"\r
\n" ); document.write( "\n" ); document.write( "\"MC%28x%29+=+%28d%2Fdx%29+AC%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "First, find the average cost function:\r
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\n" ); document.write( "\n" ); document.write( "\"AC%28x%29+=+C%28x%29+%2F+x\"\r
\n" ); document.write( "\n" ); document.write( "\"AC%28x%29+=+%28%285x+%2B+3%29%287x+%2B+4%29%29+%2F+x\"\r
\n" ); document.write( "\n" ); document.write( "\"AC%28x%29+=+%2835x%5E2+%2B+41x+%2B+12%29+%2F+x\"\r
\n" ); document.write( "\n" ); document.write( "\"AC%28x%29+=+35x+%2B+41+%2B+12%2Fx\"\r
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\n" ); document.write( "\n" ); document.write( "Now find the marginal average cost function:\r
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\n" ); document.write( "\n" ); document.write( "\"MC%28x%29+=+%28d%2Fdx%29+AC%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"MC%28x%29+=+35+-+12%2Fx%5E2\"\r
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