document.write( "Question 1170646: A small canteen offers special meal package to their customers. The profit P that the canteen will earn at x number of customer is modeled by the function P(x) = -25x2 + 100x - 3000. How many people are needed for a profit of at least
\n" ); document.write( "Php5,000 \n" ); document.write( "
Algebra.Com's Answer #795560 by ankor@dixie-net.com(22740)\"\" \"About 
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A small canteen offers special meal package to their customers.
\n" ); document.write( " The profit P that the canteen will earn at x number of customer is modeled by the function P(x) = -25x^2 + 100x - 3000.
\n" ); document.write( " How many people are needed for a profit of at least Php5,000
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\n" ); document.write( "There is something wrong with this equation, no matter what value you have for x, it will yield a negative answer.
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\n" ); document.write( "An equation of 25x^2 + 100x - 3000 will work, a profit will be shown when there are 10 people or more
\n" ); document.write( "Using this to find the number required for an 5000 profit
\n" ); document.write( "-25x^2 + 100x - 3000 = 5000
\n" ); document.write( "-25x^2 + 100x - 3000 - 5000 = 0
\n" ); document.write( "-25x^2 + 100x - 8000
\n" ); document.write( "simplify, divide by 25
\n" ); document.write( "x^2 + 4x - 320 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(x+20)(x-16) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "x = 16 people will give a profit of 5000\r
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