Chapter 4.1, Problem 9E

7–12For each of the linear programming problems in Exercises 1–6,

Maximize $x+2y-3z$ subject to the constraints

$\{\begin{array}{c}x+y+z\le 100\\ 3x+z\le 200\\ 5x+10y\le 100\\ x\ge 0\\ y\ge 0\\ z\ge 0.\end{array}$

(a) Set up the initial simplex tableau.

(b) Determine the particular solution corresponding to the initial tableau.