document.write( "Question 881317: The demand equation for a certain product is given by p = 132 - 0.015x, where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R=xp.\r
\n" ); document.write( "\n" ); document.write( "Determine the prices that would yield a revenue of 9340 dollars\r
\n" ); document.write( "\n" ); document.write( "lowest price ___\r
\n" ); document.write( "\n" ); document.write( "highest price ___\r
\n" ); document.write( "\n" ); document.write( "I set up an equation 9430 = x(132-0.015x)\r
\n" ); document.write( "\n" ); document.write( "I thought I should solve for x and the substitute in to find p.
\n" ); document.write( "-132/(2 X -0.015) = 4400\r
\n" ); document.write( "\n" ); document.write( "I substituted 4400 for x in p=132-0.015x thinking I would get the a price -- $66.00 that was wrong.\r
\n" ); document.write( "\n" ); document.write( "I also tried to solve the above equation with the quadratic formula and couldn't come up with the answer either.
\n" ); document.write( "I put in 4400 and came up with 66 -- but that answer is neither the highest nor lowest price.
\n" ); document.write( "
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Algebra.Com's Answer #532129 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"9430+=+x%28132-0.015x%29\"
\n" ); document.write( "\"0.015x%5E2-132x%2B9430=0\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-%28-132%29+%2B-+sqrt%28+%28-132%29%5E2-4%2A0.015%2A9430+%29%29%2F%282%2A0.015%29+\"
\n" ); document.write( "\"x+=+%28132+%2B-+sqrt%28+17424-565.8%29%29%2F%280.03%29+\"
\n" ); document.write( "\"x+=+%28132+%2B-+129.85%29%2F%280.03%29+\"
\n" ); document.write( "\"x+=+%28261.84%29%2F0.03\" and \"x=2.16%2F0.03\"
\n" ); document.write( "\"x=8727.97\" and \"x=72.02\"
\n" ); document.write( "So then,
\n" ); document.write( "\"p+=+132+-+0.015%288727.97%29\"
\n" ); document.write( "\"p+=+132+-+130.92\"
\n" ); document.write( "\"p=1.08\"
\n" ); document.write( "and
\n" ); document.write( "\"p+=+132+-+0.015%2872.02%29\"
\n" ); document.write( "\"p+=+132+-+1.08\"
\n" ); document.write( "\"p=130.92\"
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