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True or False: The following is a nonlinear programming model for optimizing x_1, x_2, and x_3...

True or False:

The following is a nonlinear programming model for optimizing x_1, x_2, and x_3 decision variables. g(x_1, x_2, x_3) = x_1 * x_2 + x_3

Math   Statistics-And-Probability   
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Answer #1

TRUE.

Explanation.

In mathematics, nonlinear programming is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear.

Definition

Let n, m, and p be positive integers. Let X be a subset of Rn, let f, gi, and hj be real-valued functions on X for each i in {1, …, m} and each j in {1, …, p}, with at least one of f, gi, and hj being nonlinear.

A nonlinear minimization problem is an optimization problem of the form

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