explanation

1. What is the total project time by using the PERT method? 

(Points : 1)

       11        22        33        32        35

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)