i'm trying to maximize the equation z=2x1+4x2+3x3 subject to

x1+x2+x3<=12

x1+3x2+3x3<=24

3x1+6x2+4x3<=90

x1>=0,x2>=0, and x3>=0

where x1,x2,and x3 are the axis in the graph. i was able to maximize problems in R^2 easily by finding the extreme points, but i'm having difficulty finding extreme points of the polyhedron in R^3. is there any way to find such extreme points in R^3?