A linear programming problem is given as follows:

Minimize Subject to

= 41 + 2 81 + 22 16 41 + 22 12

1 5

2 2

1,2 0

(vi) If a new constraint, 2 14, is added to the given problem, what effect will be?

(Choose all the effects)

1. a) The feasible solution area will be smaller.

2. b) The feasible solution area will be larger.

3. c) The given problem becomes infeasible.

4. d) The optimal point will be changed.

5. e) The objective value will be decreased.

6. f) There will be no effect.