Texts: Set up the initial simplex tableau for this linear programming problem...
a. Set up the initial simplex tableau for this linear programming problem.
b. Use the simplex method to solve the linear programming problem.
Maximize z = 9x + 2x + x3 subject to: 1 + 5x2 + 10x3 ≤ 110, x1 + 2x2 + 11x3 ≤ 209 with x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
a. Set up the initial simplex tableau:
X1 X2 X3 S1 S2 S3 Z
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X1 | 1 0 0 1 0 0 0
X2 | 0 1 0 0 1 0 0
X3 | 0 0 1 0 0 1 0
S1 | 0 5 10 0 0 0 110
S2 | 1 2 11 0 0 0 209
b. The maximum is when x1 = 0, x2 = 0, and x3 = 19. (Simplify your answers.)