Linear programming examples

Linear programming is a mathematical technique used to optimize the allocation of limited resources in order to achieve the best possible outcome. It involves formulating a problem as a linear mathematical model, where the objective is to maximize or minimize a linear function of variables while subject to a set of linear constraints. The main goal of linear programming is to find the values of the decision variables that optimize the objective function while satisfying all the given constraints. The decision variables represent the quantities to be determined, while the constraints define the limitations on these variables. Linear programming has a wide range of applications across various fields, including operations research, economics, engineering, and logistics. It can be used to solve complex optimization problems, such as production planning, resource allocation, transportation routing, financial portfolio optimization, and many others.