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Linear Programming Part A Introduction "Linear programming was developed by George B. Dantzig in 1947 as a technique for planning the diversified activities of the U.S Air Force." Linear programming is a powerful mathematical technique that can be used to deal with the problem of allocating limited facilities and resources among many alternative uses in order to find out the optimal benefits. The main objective of the linear programming problem in management is to maximize profit or minimize cost. Linear programming has a wide variety of applications. It is used by oil companies to determine the best mixture of ingredients for blending gasoline. It is also plays an important part in making the optimal schedules for transportation, production, and construction. In addition, linear programming is a flexible problem-solving tool for portfolio selection in finance, budgeting advertising expenditures in marketing, assigning personnel in human resources management. Applications One of the most important applications...

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