CBSE Class 12 Mathematics – Linear Programming

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Study Materials

12th

12th - Mathematics

Linear Programming

Chapter Overview

The chapter 'Linear Programming' focuses on formulating real-life problems into mathematical models using linear inequalities and then solving them to find the optimal values (maximum or minimum). It primarily involves two variables and uses graphical methods to identify feasible regions and corner points. This chapter finds applications in business, economics, logistics, and manufacturing.

Important Keywords

  • Linear Programming: A mathematical technique used to find the optimal value (maximum or minimum) of a linear objective function.
  • Objective Function: A function to be maximized or minimized, usually representing profit or cost.
  • Constraints: Linear inequalities that restrict the values of variables.
  • Feasible Region: The common region that satisfies all the constraints.
  • Corner Points: The vertices of the feasible region where the objective function is evaluated.
  • Optimal Solution: The value of the objective function at a point in the feasible region that gives maximum or minimum result.

Detailed Notes

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