Chapter 4.1, Problem 10E

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

Maximize $2x+y+50$ subject to the constraints

$\{\begin{array}{c}x+3y\le 24\\ y\le 5\\ x+7y\le 10\\ x\ge 0\\ y\ge 0.\end{array}$

(a) Set up the initial simplex tableau.

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