Consider the following LP model:

Maximize z = 5x1 + 2x2 + 3x3 subject to x1 + 5x2 + 2x3 … b1 x1 - 5x2 - 6x3 … b2 x1, x2, x3 Ú 0 The following optimal tableau corresponds to specific values of b1 and b2:

Basic x1 x2 x3 x4 x5 Solution z 0 a 7 d e 15 x1 1 b 2 1 0 3 x5 0 c -8 -1 1 1 Determine the following:

(a) The right-hand-side values, b1 and b2.

(b) The optimal dual solution.

(c) The elements

a, b,

c, d, and e.