document.write( "Question 100158: the demand equation for a certain type of printer is given by\r
\n" ); document.write( "\n" ); document.write( "D = -200p + 35,000
\n" ); document.write( "The supply equation is predicted to be
\n" ); document.write( "S = -p^2 + 400p - 20,000\r
\n" ); document.write( "\n" ); document.write( "Find the equilibrium price. \n" ); document.write( "

Algebra.Com's Answer #72940 by checkley71(8403) $\"\"$ $\"About$

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D=S OR:
\n" ); document.write( "-200P+35,000=-P^2+400P-20,000
\n" ); document.write( "P^2-200P-400P+35,000+20,000=0
\n" ); document.write( "P^2-600P+55,000=0
\n" ); document.write( "USING THE QUADRATIC EQUATION WE GET:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "X=(600+-SQRT[-600*-600-4*1*55000])/2*1
\n" ); document.write( "X=(600+-SQRT[360,000-220,000])/2
\n" ); document.write( "X=(600+-SQRT140000])/2
\n" ); document.write( "X=(600+-374.1657)/2
\n" ); document.write( "X=(600+374.1657)/2
\n" ); document.write( "X=974.1657/2
\n" ); document.write( "X=487 ANSWER FOR THE EQUILIBRIUM PRICE.
\n" ); document.write( "X=(600-374.1657)/2
\n" ); document.write( "X=228.8343/2
\n" ); document.write( "X=112.9 ANSWER. \n" ); document.write( "

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