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Linear programming approach does not apply the same way in different applications. In some advanced applications, the equations used for linear programming are quite complex.
I'm not altogether clear about what you mean. However, the term 'linear programming' means a category of optimisation problems in which both the objective function and the constraints are linear. Please see the link.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.