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Consider the following nonlinear programming problem Maximize Z 2x21

Consider the following nonlinear programming problem.

Maximize Z = 2x21 + 2x2 + 4x3 – x23

Subject to

2x1 + x2 + x3 ≤ 4

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Use dynamic programming to solve this problem.

Maximize Z = 2x21 + 2x2 + 4x3 – x23

Subject to

2x1 + x2 + x3 ≤ 4

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Use dynamic programming to solve this problem.

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