# Define “Objective Functions“.

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Hint: Understanding mathematical optimization problems would help to find the answers to such questions.

Complete step-by-step answer:

The objective function in a mathematical optimization problem is the real-valued function whose value is to be either minimized or maximized over the set of feasible alternatives. The function f is the objective function in the given problem .

Maximize f(x)

Subject to x$ \in $ X

Where f : ${R^n} \to R$ and X is a closed subset of ${R^n}$ .

Note: In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function.

Complete step-by-step answer:

The objective function in a mathematical optimization problem is the real-valued function whose value is to be either minimized or maximized over the set of feasible alternatives. The function f is the objective function in the given problem .

Maximize f(x)

Subject to x$ \in $ X

Where f : ${R^n} \to R$ and X is a closed subset of ${R^n}$ .

Note: In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function.

Last updated date: 30th May 2023

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