# Question

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.

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.

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