explanation

1. What is the total project time by using the P

E

RT method? 

(Points : 1)

       11
       

2

2

3

3

       32
       3

5

2. Which answer is a critical path of the following figure by using the PERT method?  (Points : 1)

A

–

B

–

D

–

F

–

G

       D-A-B-G-

F

       A-C-E-F-G
       F-B-D-A-G
       A-F-G-B-

D

3. Given the following

Task

-Timing table, what is the total project time by using the PERT method? 

Task

Time

Preceding Tasks

A

5

None

B

2
A

C

3
B
D

6

A

E

1

B, D

F

9

B, D
G

4

C, E, F

(Points : 1)

       11
       24
       36
       48
       None of the above

4. Which answer is a critical path of the scenario in question 3 by using the PERT method?  (Points : 1)

       A-C-G
       A-D-F-G
       A-D-E-G
       A-B-E-G
       None of the above

5. What is 3!? (Points : 1)

       2
       3
       4
       5
       6

6. What is P(3,3)? (Points : 1)

       3
       6
       9
       12
       None of the above

7. What is ? (Points : 1)

       25.2
       31.3
       49.3
       28.5
       None of the above

8. What is ? (Points : 1)

       56
       336
       8
       1680
       None of the above

9. A baseball manager has decided who his 9 starting hitters are to be, but not the order in which they will bat. How many possibilities are there? (Points : 1)

       733,110
       362,880
       1,240
       2,048
       None of the above

10. A music company executive must decide the order in which to present 6 selections on a compact disk. How many choices does she have? (Points : 1)

       720
       120
       240
       360
       None of the above

11. A man has 5 sport coats, 4 pairs of slacks, 6 shirts, and 1 tie. How many combinations of these can he wear, if he must wear at least slacks and a shirt? (Points : 1)

       144
       288
       366
       422
       None of the above

12. A busy summer resort motel has 5 empty rooms and 3 travelers who want rooms. In how many ways can the motel manager assign a room of his or her own to each guest? (Points : 1)

       20
       30
       40
       60
       None of the above

13. The permutations of the letters A, B, and C are: (Points : 1)

       A,

B, C

       AB, BC, CA
       AAA, BBB, CCC
       ABC, ACB, BAC, BCA, CAB, CBA
       None of the above

14. A tennis coach must pick her top 3 varsity and top 3 junior varsity players in order from among 5 varsity and 4 junior varsity players. In how many ways is this possible? (Points : 1)

       1440
       48
       72
       36
       none of the above

15. 5 actresses have auditioned for the parts of the 3 daughters of King Lear: Goneril, Regan, and Cordelia. In how many ways can the roles be filled? (Points : 1)

       240
       30
       120
       60
       None of the above

Home work

1. (Similar to Exercise 1.1 Question 10 on page 9) Given the following table, make a PERT diagram, and determine the project time and the critical path. Provide a justification on how you obtain your project time and critical path.

Task
Time
Preceding Tasks
A
2
None
B
3
A
C
4
A
D
5
B
E
6
B, C
F
3
C
G
3

D, E, F

2. (Similar to Exercise 2.1 Question 18 on page 47) Use Theorems 2.1 and 2.2 to simplify expression: . You must show the detailed, step-by-step, simplification and justification, as in the example shown in the weekly Supplement. (Points : 4)

3. (Similar to Exercise 2.1 Question 22 on page 47) Use Theorems 2.1 and 2.2 to simplify expression: . You must show the detailed, step-by-step, simplification and justification, as in the example shown in the weekly Supplement. (Points : 4)