document.write( "Question 1178291: Al calculated the profit from his candy shop is given by the formula P = - 10x2+ 100x + 300, where x is the number of units of candies sold daily. How many units should be sold for a profit of $460? \n" ); document.write( "

Algebra.Com's Answer #807491 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "To answer this question, you need to solve quadratic equation\r\n" );
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document.write( "    -10x^2 + 100x + 300 = 460.\r\n" );
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document.write( "It is the same as\r\n" );
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document.write( "    10x^2 - 100x + 160 = 0,  or\r\n" );
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document.write( "      x^2 - 10x + 16 = 0\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "      (x-8)*(x-2) = 0.\r\n" );
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document.write( "The roots are 8 and 2; they both are good as the solutions.\r\n" );
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document.write( "ANSWER.  There are 2 possible answers: 8 units of candies and/or 2 units of candies.\r\n" );
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document.write( "CHECK.  You may (and you should/must) check both answers by substituting the values into the given original formula.\r\n" );
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document.write( "        I did it for myself (!)   You do it for yourself (!)\r\n" );
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