- #1
s3a
- 818
- 8
Homework Statement
Maximize the profit function P = 3x - y - 2z subject to the following
x - y - z ≤ 15
2x - y + 2z ≤ 50
2x + y + z ≤ 39
, where x ≥ 0, y ≥ 0, z ≥ 0.
Homework Equations
Simplex method / Simplex algorithm
The Attempt at a Solution
Hello to everyone who is reading this. :)
Here is my work:
https://pastebin.com/CT6cjMBu
As you can see from my work (in the above link), I get that max P = 51, which happens when (x_1, x_2, x_3) = (18, 0, 3).
However, the answer in the PDF says "Max P = 51 at (18, 3, 0)". Should it say (18, 0, 3), or am I the one that’s wrong? If I’m wrong, could someone please point out where my mistake is? Is this just a simple typo in the PDF with the answer?
Any input would be GREATLY appreciated!