P1. A company needs to manage a project, which consists of the following set of activities:

Task

Duration

I.P.s

A

1

-

B

4

A

C

3

B

D

3

C

E

2

B

F

4

E

G

2

D, F

Construct a network diagram for this project. What are all possible paths for this project? List the paths as: A-B-C... What is the critical path(s)? How long will it take to complete this project?

P2. Assume that the following project has the same IPs as in the problem above.

Activity

Normal

Crash

Normal

Crash

Slope

A

5

3

$6,000.00

$8,000.00

$1,000.00

B

3

2

$18,000.00

$19,000.00

$1,000.00

C

4

2

$14,000.00

$19,000.00

$2,500.00

D

7

4

$6,000.00

$9,000.00

$1,000.00

E

6

1

$9,000.00

$14,000.00

$1,000.00

F

5

3

$12,000.00

$14,000.00

$1,000.00

G

4

2

$3,500.00

$7,500.00

$2,000.00

What would be the critical time?

If it is possible to crash the project to 1 less than the critical time (e.g., 19 CT crashed to 18), what are all the possible ways to do that with the minimum increase in cost? Be sure to support your answer with a brief explanation.