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Linear Programming

Linear programming is mathematical technique for finding an op-timum (maximum or minimum) value f a function, called objective function of several independent variable, these variable being subject to various restrictions (or constraints) expressed as equations or ine-qualities. The term ‘linear’ indicates that the function to be maxi-mized or minimized is linear and that the corresponding constraints be represented by a system of linear inequalities or linear equations involving the variables.

A linear programming problem has the following essential parts:

(i)    A set of non-negative restriction. This is to avoid getting negative solutions in which we are not interested. For example, negative price or negative output do not mean anything.

(ii)    A set of linear constraints representing the limitations on the use of machinery, labour etc.

(iii)    An objective function to be maximized or minimized subject to the above constraints.

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