project management

A project has 11 activities that can be accomplished either by one person working alone or by several people working together. The activities, precedence constraints, and time estimates are given in Table below. Suppose that you have up to five people who can be assigned on any given day. A person must work full days on each activity, but the number of people working on an activity can vary from day to day.

Activity

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Immediate predecessors

Person-days required

A

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10

B

A

8

C

A

5

D

B

6

E

D

8

F

C

7

G

E,F

4

H

F

2

I

F

3

J

H,I

3

K

J,G

2

  1. Prepare an AOA network diagram, and calculate the critical path, total slacks, and free slacks assuming that one person (independently) is working on each task.
  2. Prepare an early-start Gantt chart.
  3. Prepare a daily assignment sheet for personnel with the goal of finishing the project in the minimum amount of time.
  4. Prepare a daily assignment sheet to “best” balance the workforce assigned to the project.
  5. By how many days could the project be compressed if unlimited personnel resources were available?

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