Consider the Following Linear Program

Essay

Consider the following linear program:
Maximize Z = 3 X1 + 2 X2 - X3
Subject to: X1+ X2 + 2 X3 ≤ 10
2 X1 - X2 + X3 ≤ 20
3 X1 + X2 ≤ 15
X1, X2, X3 ≥ 0
(a)Convert the above constraints to equalities by adding the appropriate slack variables.
(b)Set up the initial simplex tableau and solve.