The simplex examples all involve the maximizing of a profit equation,
such as MAX of profit A x object A + profit B x object B and the options
of using a resource of manhours and machines to produce the objects.
Without going into the many problems, I wish to verify an example as
solved by the SIMPLEX ON THE WEB programs...
The simplex set up above would come from a typical of
MAX Z = x + 2y + 3z
x + y + z + s1 = 30
x - 2y + 2z + s2 = 20
The solution if followed gives:
1 0 0 -8/3 4/3 -4/3 100/3
0 0 1 -1/3 1/3 -1/3 10/3
0 1 0 4/3 2/3 1/3 80/3
Which is found in the program output:
Some factors were not verified, but I attribute that to my notes.
I have no idea what the setup problem was, and does look unfamiliar.
However, the notes gave the solution only and no more information.
In this solution, we find Z =30, x = 6, y = 2, s1 = 8, s2=s3=0,
though not labeled it should be evident the solution is present.
Note that the 7 by 7 square simplex is now required to solve the
MAX and two other equations, the 3 by 3 augmented matrix and
the resource values.
new the 7 by 7
new the 8 by 8
new the 9 by 9
new the 10 by 10
A setup of problem found on web
and the output, just press the button.
Its just the saved input and output made to appear as the next page.
The setup and answer of example.
a product mix example.
