Question: Consider the following nonlinear programming problem. Maximize Z x3 1 4x2 2 16x3, subject to x1x2x3 4 and x1 1, x2 1, x3

Consider the following nonlinear programming problem.

Maximize Z  x3 1 4x2 2 16x3, subject to x1x2x3  4 and x1 1, x2 1, x3 1.

(a) Solve by dynamic programming when, in addition to the given constraints, all three variables also are required to be integer.

(b) Use dynamic programming to solve the problem as given (continuous variables).

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