document.write( "Question 979714: The revenue R received for selling x stereos is given by the formula
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document.write( "R = −(x^2/3) + 70x − 800.\r
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document.write( "How many stereos must be sold to obtain the maximum revenue?\r
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document.write( "Find the maximum revenue. \n" );
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Algebra.Com's Answer #600994 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The revenue R received for selling x stereos is given by the formula \n" ); document.write( "R = −(x^2/3) + 70x − 800.\r \n" ); document.write( "\n" ); document.write( "How many stereos must be sold to obtain the maximum revenue?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find the maximum revenue. \n" ); document.write( "=================== \n" ); document.write( "R = -(x^2/3) + 70x - 800. \n" ); document.write( "Is it x^2/3 ? \n" ); document.write( "Or x^(2/3) ? \n" ); document.write( "-------- \n" ); document.write( "Assuming the former: \n" ); document.write( "R = -(x^2)/3 + 70x - 800 \n" ); document.write( "dR/dx = -2x/3 + 70 = 0 \n" ); document.write( "--> x = 105 stereos for max \n" ); document.write( "============= \n" ); document.write( "R = -(105^2)/3 + 70*105 - 800 \n" ); document.write( "R = $2875 max revenue \n" ); document.write( " \n" ); document.write( " |