# Math Help - Question on graphing and finding min/max

1. ## Question on graphing and finding min/max

Here is a problem we had, it confused the heck out of me. The quiz was on finding properties of graphs (min, max, vertex, roots.) and we are allowed to use graphing calc.

Here is the parts of the problem I remember:
Selling Jazz Band concert tickets, if their sales and profit is represented by the formula: (-1/400) x (x2-4800x), how many would they have to sell to reach the max profit? (the x2 means x squared)

This is so confusing! The graph is a LINE no matter how I resize the window and x/y min/max! so is the answer Infinity?

Any help appreciated
Derg

2. Originally Posted by Dergyll
Here is a problem we had, it confused the heck out of me. The quiz was on finding properties of graphs (min, max, vertex, roots.) and we are allowed to use graphing calc.

Here is the parts of the problem I remember:
Selling Jazz Band concert tickets, if their sales and profit is represented by the formula: (-1/400) x (x2-4800x), how many would they have to sell to reach the max profit? (the x2 means x squared)

This is so confusing! The graph is a LINE no matter how I resize the window and x/y min/max! so is the answer Infinity?

Any help appreciated
Derg
Whatever your formula is, it doesn't look like a line to me. Is the function supposed to be
$-\frac{1}{400} \times (x^2 -4800x) = -\frac{x^2}{400} + 12x$?

(Take a look at the scales on the x and y axis. You need to zoom out considerably from the "standard" window in order to see the parabola. But you should already know it's a parabola from the $x^2$!!)

-Dan