Linear Programming Problems
Linear Programming Problems Concepts:

Linear Programming (LP): A mathematical method to optimize a linear objective subject to linear inequality constraints.

Feasible Region: The set of points satisfying the constraints in an LP problem.

Objective Function: The function being optimized in an LP problem.

Optimal Solution: The point in the feasible region maximizing (or minimizing) the objective function.
Important Theorems:

Fundamental Theorem of Linear Programming: Every feasible LP problem has an optimal solution.

Duality Theorem: Every LP problem has a dual LP problem with equivalent optimal values.

Simplex Method: An iterative algorithm for solving LP problems by moving between feasible region vertices until reaching the optimal solution.

Revised Simplex Method: Improvement over the Simplex method for handling variable changes in constraints efficiently.