Question

Which of the following statements are true or false? Give reasons for your answers.
i) Union of any two convex sets is convex.
ii) The number of decision variables in the dual of a LPP is the same as the number of
decision variables in the primal.
iii) The cost vector in a LPP becomes an activity vector in its dual problem.
iv) In a transportation problem, if all the source availabilities ai and all the requirements
bj are integers, then the optimal solution consists of integers only.
v) A pay-off matrix can have more than one saddle point.

Answer 1

1) true
As a convex when placed on another one it will always be convex