True or false?
(a) Deleting a constraint leaves the feasible region larger.
(b) Adding a constraint leaves the feasible region either unchanged or smaller.
(c) An LP cannot have an unbounded objective function value.
Here are my answers:
(a) True because when I graphed a random problem, it looked like the feasible region got bigger.
(b) True -Same as (a) but saw it get smaller.
(c) True because it can have an optimal objective function value but probably not an unbounded objective function value.
But I don't understand how all three are true. Help is very much appreciated!!