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Linear Programming is a mathematical modeling technique used to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. It is essentially used to optimize operational processes, whether maximizing benefit or minimizing cost.

Linear programming is used to solve several types of problems. Examples of these include:\n\n1. Allocation Problems: These problems entail allocating limited resources, such as workforce, materials, capital, etc., to perform several activities with maximum efficiency. These activities could be in a factory, farm, etc.\n\n2. Covering Problems: Job assignment problems, whether in terms of personnel or equipment, where the task is to cover all necessary jobs/tasks at the minimum cost.\n\n3. Blending Problems: These problems arise while minimizing cost, such as finding the minimum-cost blend of feedstocks that meets specified quality standards in animal feed or fuel production.\n\n4. Network Problems: Linear programming is used in problems involving transportation and telecommunication networks to find the most cost-efficient routes.\n\n5. Sequencing Problems: These problems involve arranging sequences in an optimum manner, for example, arranging jobs on a machine for minimum delay.

In conclusion, Linear programming aids in making the best possible use of available productive resources such as time, manpower, machines, materials, etc., and is widely applicable in various fields like business, economics, industries, and military applications.