Optimization, Algorithms, Python, Linear Programming, Operations Research.
have n=3 variables and m=1 equation, for example x₁ + x₂ + x₃ = 3 we will have this picture: The set of all possible solutions of Ax = b in this example is a plane. If we apply nonnegativity rule(x₁ ≥ 0, x₂ ≥ 0, x₃ ≥ 0), we will obtain the set of all feasible solutions(orange triangle). With an