Chapter 4, Problem 20RE

For each problem, (a) add slack variables or subtract surplus variables, and (b) set up the initial simplex tableau.

20. $\begin{array}{ll}\text{Maximize}\hfill & z=4x_1+6x_2+8x_3\hfill \\ \text{subject}\text{to:}\hfill & x_1+x_2+2x_3\ge 200\hfill \\ \hfill & 8x_1++6x_3\le 400\hfill \\ \hfill & 3x_1+5x_2+x_3\le 300\hfill \\ \text{with}\hfill & x_1\ge 0,x_2\ge 0,x_3\ge 0.\hfill \end{array}$