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
Php5,000
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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
:
There is something wrong with this equation, no matter what value you have for x, it will yield a negative answer.
;
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
Answer by ikleyn(52824)  (Show Source):
You can put this solution on YOUR website! .
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 Php5,000
~~~~~~~~~~~~~~
To answer the question, you need to solve this equation
-25x^2 + 100x - 3000 = 5000.
Simplify it step by step
-25x^2 + 100x - 8000 = 0
25x^2 - 100x + 8000 = 0
x^2 - 4x + 320 = 0
The discriminant is b^2 - 4ac = 4^2 - 4*320, which is negative value.
Hence, the given equation HAS NO real roots.
ANSWER. The problem, as it is worded, printed, posted and presented is a FAKE.
The problem is a FAKE.
By posting a fake, you steal my time.
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