SOLUTION: 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

SOLUTION: 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 - 3

Question 1170670: 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 atleast
Php5,000
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Differentiating w.r.t x :
'

''
=> is maximum at
Maximum profit =
=
Canteen suffers a minimum of Php .
There is to earn profit of Php.

Answer by ikleyn(52833)   (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 atleast
Php5,000
~~~~~~~~~~~~~~~~

In this problem, the profit

            P(x) = -25x^2 + 100x - 3000 = (-25x^2 + 100x - 100) - 3000 + 100 = -(5x-10)^2 - 2900

is NEVER a positive value - it ALWAYS is negative.

The problem itself HAS NO ANY SENSE.

It is a FAKE created by mathematically illiterate person.

See the plot below.

                Plot y = -25x^2 + 100x - 3000

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