,

Ok, so I'm trying to do this using Lagrange multipliers

So, first I need , right?

Which is:

So:

and

From here, I have no idea what to do. Any help?

Edit:

Ok, I THINK I figured it out. Please someone double check my work

So,

and

We plug these into the constraint and get:

Then we plug back into and

So we get, and

Then, plugging these numbers into

and

Is this all correct?