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.
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
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.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
After graphing the equations for the linear programming problem, the graph will have some intersecting lines forming some polygon. This polygon (triangle, rectangle, parallelogram, quadrilateral, etc) is the feasible region.
All linear equations are functions but not all functions are linear equations.
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?
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
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?
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.