1. The problem statement, all variables and given/known data 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. 2. Relevant equations Simplex method / Simplex algorithm 3. 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!