Question: Consider the following multidivisional problem: Maximize Z = 10x1 + 5x2 + 8x3 + 7x4, subject to and xj ¥ 0, for j = 1,

Consider the following multidivisional problem:
Maximize Z = 10x1 + 5x2 + 8x3 + 7x4,
subject to

and
xj ‰¥ 0, for j = 1, 2, 3, 4.
(a) Explicitly construct the complete reformulated version of this problem in terms of the pjk decision variables that would be generated (as needed) and used by the decomposition principle.
(b) Use the decomposition principle to solve this problem.

6x 5x2 4x 6x 40 s 15 s 10

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