min = 41 + 2

Subject to 81 + 22 16

41 + 22 12

1 6

2 4

1, 2 0

1. Which change will make the problem have multiple optimal solutions? If there is more than one answer, choose all.

a) Increase of the coefficient of 1 on the objective function to 4

b) Increase of the coefficient of 1 on the objective function to 2

c) Decrease of the coefficient of 1 on the objective function to -8

d) Increase of the coefficient of 2 on the objective function to -8

e) None

2. If new constraints, 1 4 and 2 6, are added to the given problem, what effect will be? (choose all the effects)

a) The feasible solution area will be smaller.

b) The feasible solution area will be larger.

c) The given problem becomes infeasible.

d) The optimal point will be changed.

e) The objective value will be decreased.

f) There will be no effect.