The simplex method

The simplex method is an algorithm used in linear programming to optimize a particular outcome, like maximizing profit or minimizing costs, given certain constraints. It works by moving through various possible solutions, represented as points in a geometric space, until it finds the best option. Initially, it identifies a feasible solution, then iteratively improves it by adjusting variables according to specific rules, ensuring it remains within the constraints. The process continues until no further improvements can be made, resulting in the most efficient solution available for the problem.