document.write( "Question 389609: The revenue from selling x units of a product is given by
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document.write( " y = -0.0002x2 + 20x. How many units must be sold in
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document.write( " order to have the greatest revenue? (Find the x-coordinate
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document.write( " of the vertex of the parabola.) \n" );
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Algebra.Com's Answer #276151 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! assuming I read the given equation correctly as y = -0.0002x^2 +20x \n" ); document.write( "note that it is a parabola which turns downward because the coefficient of the x^2 term is negative and therefore has a maximum at the vertex\r \n" ); document.write( "\n" ); document.write( "the x coordinate of the vertex = -b/2a \n" ); document.write( "from the given revenue equation, \n" ); document.write( "a = -.0002, b=20 \n" ); document.write( "x =-b/2a = -20/(-.0002)*2=20/4*10^-4 =5*10^4 \n" ); document.write( "x = 50,000 \n" ); document.write( " ans; 50,000 units must be sold in order to have the greatest revenue \n" ); document.write( " |