Hi,
I want to find global extremes of function
f(x,y,z) = xy^{2}y^3
on the set
M = \left\{[x,y,z] \in \mathbb{R}^{3}, x+2y+4z = a, x,y,z > 0\right\}
I need to show that this is compact. Because I'm in \mathbb{R}^{n} it is sufficient to show it is closed and bounded. Closeness (is this...