Linear Programming, mathematical and operations_research technique, used in administrative and economic planning to maximize the linear functions of a large number of variables, subject to certain constraints. The development of high_speed electronic computers and data_processing techniques has brought about many recent advances in linear programming, and the technique is now widely used in industrial and military operations. Linear programming is basically used to find a set of values, chosen from a prescribed set of numbers, that will maximize or minimize a given polynomial form and this is illustrated by the finished; the manufacturer knows that as many articles as are produced can be sold.

In mathematics, method of solving a problem by repeatedly using a simpler computational method. A basic example is the process of long division in arithmetic. The term algorithm is now applied to many kinds of problem solving that employ a mechanical sequence of steps, as in setting up a computer program. The sequence may be displayed in the form of a flowchart in order to make it easier to follow. As with algorithms used in arithmetic, algorithms for computers can range from simple to highly complex.

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