document.write( "Question 87293: Please help! I am having a hard time figuring out this question: \r
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document.write( "The demand equation for a certain type of printer is given by D = -200p +35,000. The supply equation is predicted to be S = -p^2 +400p - 20,000. What is the equilibrium price? \r
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document.write( "Thank you!! \n" );
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Algebra.Com's Answer #63232 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Equilibrium is attained when supply equals demand. Therefore \n" ); document.write( " D = -200p +35,000 \n" ); document.write( " S = -p^2 +400p - 20,000\r \n" ); document.write( "\n" ); document.write( " -200p +35,000 = -p^2 +400p - 20,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set the quadratic equation equal to zero, and hope it factors! If it does not, then you will have to use the quadratic formula or completing the square (or a graphing calculator!) to get the answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p^2 -600p+ 55000 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This does NOT factor, so the quadratic formula, completing the square, or graphing calculator will be needed. The answers I got with calculator (rounded to nearest whole number) are p=113 or p=487.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Life doesn't always come out even. Nevertheless, the answers in math so often are \"rigged\" to work out that I am suspicious when they do NOT come out even. So, check my work, and see if I am correct!! Let me know if you need help solving the quadratic equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |