/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 25 What is an objective function in... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 25

What is an objective function in a linear programming problem?

Short Answer

Expert verified
An objective function in a linear programming problem is the principal function that is either maximished or minimized depending on the problem context. It usually represents the primary goal within an optimization problem and includes parameters which are the decision variables.

Step by step solution

01

Understand Linear Programming

Linear programming is a mathematical technique used to optimize a situation. It is commonly used in business for optimizing production, transportation, scheduling and other factors. In essence, it is used to find the best (maximum or minimum) way to do something.
02

Defining objective function

An objective function is a key component of a linear programming problem. It is a function that needs to be maximized or minimized. For example, in a business framework, this could be profit maximation or cost minimization.
03

Identify the role of Objective Function

The objective function is what is optimized - either finding its minimal or maximal value. It often reflects the primary goal of the situation being analyzed. Decision variables, which represent the factors that can be controlled in order to optimize the objective function, are included in this function.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Will help you prepare for the material covered in the next section. In each exercise, graph the linear function. $$f(x)=-\frac{2}{3} x$$

Solve the systems. $$\left\\{\begin{array}{l} \log x^{2}=y+3 \\ \log x=y-1 \end{array}\right.$$

What is a half-plane?

Compare the graphs of \(3 x-2 y>6\) and \(3 x-2 y \leq 6\) Discuss similarities and differences between the graphs.

Use the formula for the area of a rectangle and the Pythagorean Theorem to solve A small television has a picture with a diagonal measure of 10 inches and a viewing area of 48 square inches. Find the length and width of the screen. (IMAGE CAN NOT COPY)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.