13. It is known that the expected completion time for activity A is 30 days. Using the following times + activity A, what has been the most likely time? Activity Optimistic Most likely Pessimistic A 10 ????????? 42 A) 32.00 B) 31.25 C) 34.00 D) 55.00 E) None of the above answers is correct. 14. Activities G, P, and R are the immediate predecessors for activity W. If the earliest finish times for the three activities are 12, 15, and 10, then the earliest start time for W A. Is 10 B. is 12 C. is 15 D. is 27 E. None of the alternatives is correct. 15. The solution to the LP Relaxation of a maximization integer linear program provides A)a lower bound for the value of the objective function B) an upper bound for the value of the decision variables C)a lower bound for the value of the decision variables D) an upper bound for the value of the objective function E) None of the above answers is correct. 16. Which of the following statements concerning the transshipment problem are false? A) The number of units shipped into a transshipment point should be equal to the number of units shipped out B) There can be constraints on the number of units shipped out of an origin point. There can be constraints on the number of units shipped into a destination point. D) The transshipment problem can be solved with linear programming. E) Any units shipped from one origin point must all go to the same destination point. 17. Assignment problems solved previously by linear programming techniques are also examples of A) pure-integer programming problems. B) mixed-integer programming problems. C) zero-one integer programming problems. D) goal programming problems. E) nonlinear programming problems