document.write( "Question 769449: can someone help me solve this quadratic formula word problem please\r
\n" ); document.write( "\n" ); document.write( " Your business finds that its revenue R is connected to the price p that you charge by the equation R = -p^2 + 100p. This equation predicts that the revenue will rise with increasing price, but eventually will drop back off as the price gets too high. You wonder what price would generate a revenue of $2500, so you plunk in that R value and rearrange the equation to 0 = p^2 - 100p + 2500. Please find p.
\n" ); document.write( "Price in dollars (give either answer, nearest integer)?????????? \n" ); document.write( "

Algebra.Com's Answer #468949 by ramkikk66(644) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "You got it right up to the equation\r\n" );
document.write( "p^2 - 100p + 2500 = 0\r\n" );
document.write( "This can be simplified as (p - 50)^2  = 0\r\n" );
document.write( "or p = 50.\r\n" );
document.write( "So this quadratic has only one root p = 50\r\n" );
document.write( "i.e. the price required to generate a revenue of $2500 is $50.\r\n" );
document.write( "Hope this helps :)\r\n" );
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