document.write( "Question 332126: P(x)= - 0.08x^2 + 60x - 750 how many units will give a break even point for this product? I'm attempting to use the quadratic equation to solve however I am stuck. \n" ); document.write( "

Algebra.Com's Answer #238053 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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P(x)= - 0.08x^2 + 60x - 750 how many units will give a break even point for this product?
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\n" ); document.write( "Break-even point is when profit is 0, therefore
\n" ); document.write( "-.08x^2 + 60x - 750 = 0
\n" ); document.write( "using the quadratic formula; $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "in this problem: a=-.08. b=60, c=-750
\n" ); document.write( " $\"x+=+%28-60+%2B-+sqrt%2860%5E2-+4+%2A-.08%2A-750+%29%29%2F%282%2A-.08%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-60+%2B-+sqrt%283600-240+%29%29%2F%28-.16%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-60+%2B-+sqrt%283360+%29%29%2F%28-.16%29+\"$
\n" ); document.write( "Two solutions, but we want the lowest value here
\n" ); document.write( " $\"x+=+%28-60+%2B+58%29%2F%28-.16%29+\"$
\n" ); document.write( "x = $\"%28-2%29%2F%28-.16%29\"$
\n" ); document.write( "x = +12.5, ~ 13 units to break even (a slight profit, integer units required)
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\n" ); document.write( ":
\n" ); document.write( "Check in the original equation
\n" ); document.write( "-.08(13^2) + 60(13) - 750 = +$43.52, a slight profit
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