document.write( "Question 1065880: In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.\r
\n" ); document.write( "\n" ); document.write( "p = 108 − 4x^2 and p = x^2 + 10x + 33\r
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\n" ); document.write( "\n" ); document.write( "equilibrium quantity ??? Thousand units\r
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\n" ); document.write( "\n" ); document.write( "equilibrium price ??? Dollars \n" ); document.write( "
Algebra.Com's Answer #681128 by stanbon(75887)\"\" \"About 
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In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.
\n" ); document.write( "p = 108 − 4x^2 and p = x^2 + 10x + 33
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\n" ); document.write( "Use substitution to solve::
\n" ); document.write( "108-4x^2 = x^2 + 10x + 33
\n" ); document.write( "5x^2 + 10x -75 = 0
\n" ); document.write( "x^2 + 2x - 15 = 0
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\n" ); document.write( "(x-5)(x+3) = 0
\n" ); document.write( "Positive solution::
\n" ); document.write( "x = 5
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\n" ); document.write( "equilibrium quantity ??? 5 Thousand units \r
\n" ); document.write( "\n" ); document.write( "equilibrium price ??? 108-4*5^2 = 108-100 = $8 Dollars
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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