Consider the following problem:
Maximize Z = 2x1 - x2 + x3,
subject to
x1 - x2 + 3x3 ? 4
2x1 + x2 ? 10
x1 - x2 - x3 ? 7
and
x1 ? 0, x2 ? 0, x3 ? 0.
(a) Work through the simplex method step by step in algebraic form to solve this problem .
(b) Work through the simplex method step by step in tabular form to solve the problem