true or false with write a reason in either 1 if a linear pr

true or false with write a reason in either:
1- if a linear program is infeasible, the dual must be unbounded.

2- if a linear program is unbounded, the dual must be infeasible.

Solution

Both the statements are TRUE

The given statements are part of Weak Duality Theorem

According to weak duality theorem, if P is unbounded, then dual of P will be infeasible and if P is infeasivble, then the the dual of P must be unbounded

Hence using the weak duality theorem, both the statements are CORRECT