document.write( "Question 91978: I am having a problem with this word problem, I am not good at them and need some help.\r
\n" ); document.write( "\n" ); document.write( "Business and finance : The demand eqaurion for a certain type of printer is given by D=200p+35000.
\n" ); document.write( "The supply equation is predicted to be S= -P^2+400p-20000
\n" ); document.write( "Find the equalibrium price.\r
\n" ); document.write( "\n" ); document.write( "Thanks a million \n" ); document.write( "

Algebra.Com's Answer #66804 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Business and finance : The demand eqaurion for a certain type of printer is given by D=200p+35000.
\n" ); document.write( "The supply equation is predicted to be S= -P^2+400p-20000
\n" ); document.write( "Find the equalibrium price.
\n" ); document.write( "------------------------
\n" ); document.write( "Equilibrium occurs when supply equals demand:
\n" ); document.write( "-p^2+400p-20000 = 200p+35000
\n" ); document.write( "p^2-200p+15000=0
\n" ); document.write( "---------
\n" ); document.write( "p = [200+-sqrt(200^2-4*-1*15000)]/(-2)\r
\n" ); document.write( "\n" ); document.write( "p = [200+-sqrt(100000)]/(-2)\r
\n" ); document.write( "\n" ); document.write( "p = [200+-100sqrt(10)]/(-2)
\n" ); document.write( "--------------
\n" ); document.write( "Get the positive solution:
\n" ); document.write( "p = [200 - 100sqrt(10)]/(-2)
\n" ); document.write( "p = $58.11
\n" ); document.write( "==========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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