# Linear programming - optimisation

I am being asked to give an explanation what happens if, when pivoting, we chose the right entering variables and the wrong leaving variables if we chose positive pivot element, and why?

and what happens if we chose the right entering variables and the wrong leaving variables but with negative pivot element, and why?

My LP- problem is a regular maximisation of profit problem where where i have three variables (dictionaries) and 3 constraints. I know how to perform simplex method. My only problem is understanding it both graphically. I have tried to build the intuition around it through reading many books and a lot of wiki pages but i havent fully grasped it just yet. Please do help me

When you pivot, you go from one extreme point to another. When you select an entering variable, you select a variable with positive reduced cost (for maximization), that will typically take a positive value (unless you face degeneracy), and when you select a a leaving variable, you select a variable that will take value $$0$$.