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Linear programming deals with this type of problems using inequalities and graphical solution method Example On the graph below R is the region of feasible.

The above stated optimisation problem is an example of linear programming problem.

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Linear programming is heavily used in microeconomics and company management such as planning production transportation technology and other issues either to maximize the income or minimize the costs of a production scheme In the real world the problem is to find the maximum profit for a certain production.

Note that the linear programming example and the two quadratic programming examples were separable Page 2 16 Introduction Sometimes separability has.

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Summary The basic idea in linear programming LP is to find the maximum or.

For example we saw in Chapter 7 that in order to maximize output ie reach a.

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We now present examples of four general linear programming problems.

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A linear optimization problem often called a linear program or simply an LP is an optimization problem.

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