In previous classes, linear inequalities and systems of linear equations with two variables and solving them using the graphical method were covered. The NCERT Solutions for Class 12 Maths Chapter 12 covers the necessary topics related to linear programming, such as definitions, rules of linear programming, how to plot linear equations on a graph, methods to solve linear programming problems, how to apply linear programming to real-world problems, and several solved examples to ensure that students get rigorous practice in solving exam-style questions.
Linear programming solves problems of optimising (either maximising or minimising) a linear function that has certain conditions, which can be equalities or inequalities. Linear programming is used to obtain a feasible region such that the highest or lowest value of the function is the optimised solution to the problem.
Here are some rules of linear programming:
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