document.write( "Question 1187664: The total profit function P(x) for a company producing x thousands of pens is
\n" ); document.write( "given by P(x) = -2x2 + 26x + 44. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x) > 0]. \n" ); document.write( "

Algebra.Com's Answer #818677 by MathLover1(20849) $\"\"$ $\"About$

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$\"P%28x%29+=+-2x%5E2+%2B+26x+%2B+44\"$ \r
\n" ); document.write( "\n" ); document.write( "The company makes a profit when $\"P%28x%29+%3E+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-2x%5E2+%2B+26x+%2B+44%3E+0\"$ ...........simplify\r
\n" ); document.write( "\n" ); document.write( " $\"-x%5E2+%2B+13x+%2B+22%3E+0\"$ \r
\n" ); document.write( "\n" ); document.write( "using quadratic formula we get: $\"+x=%281%2F2%29+%2813+-+sqrt%28257%29%29\"$ or $\"+x=%281%2F2%29+%2813+%2B+sqrt%28257%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"P%28x%29+%3E+0\"$ if \r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29+%2813+-+sqrt%28257%29%29%3C+x%3C+%281%2F2%29+%2813+%2B+sqrt%28257%29%29\"$ ........exact solution\r
\n" ); document.write( "\n" ); document.write( "approximately\r
\n" ); document.write( "\n" ); document.write( " $\"-1.5%3C+x%3C+14.5+\"$ \r
\n" ); document.write( "\n" ); document.write( "disregard negative value since $\"P%28x%29+%3E+0\"$ \r
\n" ); document.write( "\n" ); document.write( "The company makes a profit when $\"0%3C+x%3C+14.5+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C20%2C-20%2C200%2C-2x%5E2%2B26x%2B44%29\"$ \r
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