Consider the following problem.
Maximize Z = c1x1 + c2x2,
Subject to

and
x1 ‰¥ 0, x2 ‰¥ 0.
Let x3 and x4 denote the slack variables for the respective functional constraints. When c1 = 3, c2 = €“2, b1 = 30, and b2 = 10,

the simplex method yields the following final simplex tableau.
I (a) Use graphical analysis to determine the allowable range for c1 and c2.
(b) Use algebraic analysis to derive and verify your answers in part (a).
I (c) Use graphical analysis to determine the allowable range for b1 and b2.
(d) Use algebraic analysis to derive and verify your answers in part (c)
C (e) Use a software package based on the simplex method to find these allowable ranges.

Transcribed Image Text:

Coefficient of: Right Basic X3 X4 (0) 00 1 (1) 0 0 1 140 210 Ху (2) 0020