Linear Programming in Problem Solving
Linear programming is a mathematical method used to determine the best possible outcome in a given mathematical model for a set of constraints. It is widely used in various fields to optimize resource allocation and decision-making processes. Two common types of problems that linear programming can solve are assignment problems and transportation problems.

Assignment Problems
Assignment problems involve assigning a set of tasks to a set of resources in the most efficient way possible. Linear programming can be used to optimize this assignment process by minimizing costs or maximizing efficiency. This can be applied in various scenarios such as job assignments, project scheduling, or machine assignments in manufacturing.

Transportation Problems
Transportation problems involve determining the most cost-effective way to transport goods from a set of sources to a set of destinations. Linear programming can be used to optimize transportation routes, minimize transportation costs, and maximize the efficiency of the transportation network. This is commonly used in logistics, supply chain management, and distribution planning.

Both Assignment and Transportation Problems
Linear programming can be used to solve both assignment problems and transportation problems efficiently. By formulating these problems as linear programming models, optimal solutions can be found to allocate resources, assign tasks, or plan transportation routes effectively. This makes linear programming a versatile tool for solving a wide range of optimization problems in different industries.
In conclusion, linear programming can be effectively used to solve both assignment problems and transportation problems by formulating them as mathematical models and applying optimization techniques to find the best possible solutions.