Replies to post #150 on The Weekend Lounge

[Soapy Bubbles]

Agreed. I never much cared for matrix algebra. But do you see the method?

1) Rewrite the inequalities as equalities using slacks (usually one slack per constraint equation).
2) Place in a rows/matrix form.
3) RREF the xyz (and the rest) as to get the xyz portion of the matrix as close as you can to a diagonalized matrix.
4) Write down the result algebraically from the (hopefully) diagonalized matrix and back substitute to isolate solutions.
5) Keep in mind, R=1 row is the maximized value.

[Soapy Bubbles]

Simplex links added to iBOX.