Linear Programming (LP) is one of the most powerful techniques in optimization, with applications ranging from supply chain management to financial planning, scheduling, and decision-making under constraints. While many learners focus on memorizing formulas or directly using software to solve LP problems, this approach often leads to shallow understanding and limited problem-solving flexibility. The real strength in mastering Linear Programming lies in developing deep conceptual clarity — understanding why the methods work, not just how to apply them. 1. Moving Beyond Mechanical Calculations Many learners start LP by directly applying the Simplex method, graphical methods, or software tools. While these methods are important, they can feel like “black boxes” if the underlying principles are not understood. A conceptual foundation explains: Why optimization problems can be represented as linear models. How constraints define a feasible region. Why the optimal solut...

  PanchTatva Based Learning Strategy The universe is made of five super elements namely Earth, Water, Fire, Space, and Air. These are popularly known as Kshitij, Jal, Pawak, Gagan and Sameera. When we live in alignment of these elements, life become blissful in all aspects. It holds true with Learning Strategy too.  Learning Strategies derived through these elements make learning effective, enjoyable and help students lead a successful life.  How do these elements translate to learning strategies? How do we implement them in our life? Let’s have a look at them. The first element is Earth. The strategy that comes from it suggests us to be grounded. Be connected with roots. Work on basics. Understand basic things deeply to gain advanced knowledge at higher levels. It is interesting to observe that most of the difficulties in learning at higher level are caused by poor understandings of basics. It is extremely useful to revisit basics to clear the hurdles at advanced le...

  Here, we are taking an example to demonstrate how students are answering the questions right, getting good marks, letting the concept level problem continue and getting stuck in their studies or career at later stage. We also discuss, what approach can help in making learning right.  I hope, readers are aware of linear equations in one variable. Something like 15x+5=90, or 3x+5=2x+9.  Let, a student is asked to solve the 2nd equation 3x+5=2x+9. It's easy for most of the students. He solves this equation using right method and gets the answer as 4. Correct and full marks. Does it mean that he knows the concept of linear equations in one variable good enough?  Why should he solve such equations? Where can these concepts be used? Can he frame a question based on real life scenario where such equation may be needed? Can he visualize the impact of change in coefficients or constant values on the nature of the equation? If he is not clear about all these, then solving la...