document.write( "Question 88161: The demand and supply equations for a certain item are given by
\n" ); document.write( "D=-5p+40
\n" ); document.write( "S=-p^2+30p-8
\n" ); document.write( "Find the equilibrium price. \n" ); document.write( "

Algebra.Com's Answer #64128 by rapaljer(4671) $\"\"$ $\"About$

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The equilibrium price is where supply = demand. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "D=-5p+40
\n" ); document.write( "S=-p^2+30p-8\r
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\n" ); document.write( "\n" ); document.write( " $\"-5p%2B40=-p%5E2%2B30p-8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"p%5E2-30p%2B8-5p%2B40=0\"$
\n" ); document.write( " $\"p%5E2-35p%2B48=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "Use either the quadratic formula or a graphing calculator:
\n" ); document.write( "p=1.43 or p = 33.57\r
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\n" ); document.write( "\n" ); document.write( "R^2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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