The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 700x − 10000 where x is the average number of tours he arranges
per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000?
between 150 and 200, exclusive
more than 200
between 150 and 200, inclusive
less than 150

Question

The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 700x − 10000 where x is the average number of tours he arranges
per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000?
	between 150 and 200, exclusive
	more than 200
	between 150 and 200, inclusive
	less than 150

mathmate · Answer

hint:
p(x) means replace "x" on the right hand side by the value of x.
For example,
$p(100)=-2(100^2)+700(100)-10000=-20000+70000-10000=40000$

mathmate · Answer

By the way, the question should have read
The $monthly$ profit function p(x).....
to avoid confusion with the "number of tours he arranges per $day$.

anonymous · Answer

I got 40,000 from the equation you gave me

anonymous · Answer

what do I have to do next?.,.

mathmate · Answer

The number 40000 equals f(100), which is an example of how to calculate f(x) for x=100.
You need to use other values of x to solve the problem.  Read the question again to find more hints. :)