# Thread: Finding the Minimum & Maximum

1. ## Finding the Minimum & Maximum

So here's where I am now. I need to find the minimum of the following function:
$\displaystyle C = 400,000 - 170x + 0.030x^2$

I have absolutely no idea where to begin.

On this one, I need the maximum:
$\displaystyle (-(4/9)x^2)+(24/9)x+8$

Again, don't know what to do here.

Then there's this other problem that wants me to find the "price that will yield the maximum revenue" and the maximum revenue itself:

$\displaystyle R(p) = -12p^2 + 156p$

It firsts asks me to find the revenue earned for each price given, which were $4,$6, and $8. So the earned revenue would be: R ($4) = $432 R ($6) = $504 R ($8) = $480 Back to finding the price that will give the maximum revenue, I chose$6, because, according to those prices and revenue earned, $6 brought in the most, at$504, but these two were wrong. So I don't know what to do.

2. Originally Posted by BeSweeet
So here's where I am now. I need to find the minimum of the following function:
$\displaystyle C = 400,000 - 170x + 0.030x^2$

I have absolutely no idea where to begin.

On this one, I need the maximum:
$\displaystyle (-(4/9)x^2)+(24/9)x+8$

Again, don't know what to do here.

Then there's this other problem that wants me to find the "price that will yield the maximum revenue" and the maximum revenue itself:

$\displaystyle R(p) = -12p^2 + 156p$

It firsts asks me to find the revenue earned for each price given, which were $4,$6, and $8. So the earned revenue would be: R ($4) = $432 R ($6) = $504 R ($8) = $480 Back to finding the price that will give the maximum revenue, I chose$6, because, according to those prices and revenue earned, $6 brought in the most, at$504, but these two were wrong. So I don't know what to do.
Find the vertex and that will either be you max or min

3. So... I would do that by... Factoring?

4. Nope do the same like you were doing with the other problems you posted up, complete the square. When you get to Calculus you will learn an easier way to do this lol. I'll show you the calculus way if you like. It easy to learn

5. Do you have AIM or anything? I'm literally going crazy.