document.write( "Question 1030320: Find the cost function if the marginal cost function is given by C`(x)=(x^1/3) +6 and 8 units cost $112. \r
\n" ); document.write( "\n" ); document.write( "C(x)= \n" ); document.write( "
Algebra.Com's Answer #645251 by robertb(5830)\"\" \"About 
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The cost function would be the integral of the marginal cost function:\r
\n" ); document.write( "\n" ); document.write( " for some undetermined constant k.\r
\n" ); document.write( "\n" ); document.write( "Since C(8) = 112, we have \"C%288%29+=+112+=++%283%2F4%298%5E%284%2F3%29+%2B+6%2A8+%2B+k+=+12%2B48%2Bk\"\r
\n" ); document.write( "\n" ); document.write( "==> k = 52.\r
\n" ); document.write( "\n" ); document.write( "Therefore \"C%28x%29+=+%283%2F4%29x%5E%284%2F3%29+%2B+6x+%2B+52\" \n" ); document.write( "
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