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) = -25x^2 + 100x - 3000.
 How many people are needed for a profit of at least Php5,000
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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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An equation of 25x^2 + 100x - 3000 will work, a profit will be shown when there are 10 people or more
Using this to find the number required for an 5000 profit
-25x^2 + 100x - 3000 = 5000
-25x^2 + 100x - 3000 - 5000 = 0
-25x^2 + 100x - 8000
simplify, divide by 25
x^2 + 4x - 320 = 0 
factors to
(x+20)(x-16) = 0
the positive solution is all we want here
x = 16 people will give a profit of 5000