Linear Progamming: Graphical Methods

Please see the attached file for the fully formatted problem(s).


Use graphical methods to solve the linear programming problems

Minimize subject to: z = x + 3y
x + y  10
5x+2y 20
-x +2y  0
x  0
y  0



Maximize subject to: z = 4x + 5y
               10x - 5y  100
               20x+10y 150
-x +   y  12
x  0
y  0