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Class XII Mathematics

Chapter 11: Linear Programming

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Optimal corner point solver

Evaluate Z = 4x + y at corner points of feasible region: (0,0), (0,30), (20,0). Find maximum Z.
A(x₁, y₁)B(x₂, y₂)d

Calculation Steps:

  1. 1Substitute (0,0): Z = 0.
  2. 2Substitute (0,30): Z = 4(0) + 30 = 30.
  3. 3Substitute (20,0): Z = 4(20) + 0 = 80.
  4. 4The maximum value is 80 (attained at (20, 0)).
Solution80