Chapter 4.1, Problem 8E

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

Maximize $x+15y$ subject to the constraints

$\{\begin{array}{c}3x+2y\le 10\\ x\le 15\\ y\le 3\\ x+y\le 5\\ x\ge 0\\ y\ge 0.\end{array}$

(a) Set up the initial simplex tableau.

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