document.write( "Question 279254: IN business, profit is the difference between revenue and cost.\r
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document.write( "Find the maximum profit of the unit sold in order to yield the maximum profit for:\r
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document.write( "R(x)=20x-0.1x^2, C(x)=4x+2 \n" );
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Algebra.Com's Answer #203072 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In business, profit is the difference between revenue and cost. \n" ); document.write( "Find the maximum profit of the unit sold in order to yield the maximum profit for: \n" ); document.write( "R(x)=20x-0.1x^2, C(x)=4x+2 \n" ); document.write( "----- \n" ); document.write( "Profit = 20x-0.1x^2 - (4x+2) \n" ); document.write( "Profit = -0.1x^2 + 16x -2 \n" ); document.write( "---- \n" ); document.write( "You have a quadratic with a = -0.1 ; b = 16 \n" ); document.write( "--- \n" ); document.write( "Maximum occurs when x = -b/2a = -16/(2*-0.1) = -16/-0.2 = 80 \n" ); document.write( "-------------------------- \n" ); document.write( "Maximum Profit = P(80) = -0.1(80^2) + 16(80) -2 = $638.00 \n" ); document.write( "============================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |