Some students find Math a very hard subject so here on BoardStudy, we have shared class 12 Math Chapter 12 Linear Programming Notes. We have covered every topic in a simple and easy way so anyone can understand the chapter and perform well in exam.
Notes are very clean and colourful written by BoardStudy subject matter experts. Every important concept, formula, diagram and derivation is shared in Linear Programming Notes that will help you solve the problem. These notes are designed to make complex topics easier which will definitely boost the students’ confidence during the exam.
Linear Programming Notes Notes PDF
Chapter 11: Three-Dimensional Geometry
Chapter 12: Linear Programming
Other Subjects:
Class 12 Physics Notes PDF
Class 12 Chemistry Notes PDF
Key Points: Linear Programming Notes
A linear programming problem is one that is concerned with finding the optimum value (maximum or minimum) of a linear function of several variables (called objective function), subject to the conditions that the variables are non-negative and satisfy a set of linear inequalities (called linear constraints). Variables are sometimes called decision variables and non-negative.
A few important linear programming problems are :
(i) Diet problems
(ii) Manufacturing problems
(iii) Transportation problems
The common region determined by all the constraints including the non-negative constraint x ≥ 0 , y ≥ 0 of a linear programming problem is called the feasible region (or solution region) for the solution.
Points within and on the boundary of the feasible region represent feasible solution of the constraints. Any point outside the feasible region is an infeasible solution.
Any point in the feasible region that gives the optimum value (maximum or minimum) of the objective function is called an optimum solution.
Features of Notes
- Linear Programming Notes are crafted by BoardStudy expert. All concepts and diagrams are included in notes.
- Our revision notes make a complex topic very simple. By using our notes, students can quickly revise Integrals chapter.
- In the last few days of exam, students feel very stressed due to the pressure of exam. Linear Programming Notes will be very helpful for managing the stress in the last days of the exam.
