Example of Simplex Method, continued.
Step 1: Find initial feasible solution:
x=0,y=0,z=0 => a=5, b=11, c=8 => F=0.
Step 2: Find feasible solution with higher value of F
For example, can increase x to get F=5x.
How much can we increase x?
a = 5-2x-3y-z >=0 => x <= 5/2 most stringent
b = 11-4x-y-2z >=0 => x <= 11/4
c = 8-3x-4y-2z >=0 => x <= 8/3
=> increase x to 5/2 =>F= 25/2, a=0, b=1, c=1/2