Question: Consider the following convex programming problem: Maximize Z 32x1 x1 4 4x2 x2 2 , subject to x1 2 x2

Consider the following convex programming problem:

Maximize Z  32x1  x1 4  4x2  x2 2

, subject to x1 2  x2 2 9 and x1 0, x2 0.

(a) Apply the separable programming technique discussed at the end of Sec. 12.8, with x1  0, 1, 2, 3 and x2  0, 1, 2, 3 as the breakpoint of the piecewise linear functions, to formulate an approximate linear programming model for this problem?

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