Homework AI Problems In This Homework Assignment You Will Be

Homework Aib Problemsin This Homework Assignment You Will Be Working

In this homework assignment, you will work through four Activity In Box (AIB) problems related to project network analysis. For each problem, you will first construct a network diagram based on the provided activity, duration, and predecessor data. Following the construction, you will answer specific questions concerning project scheduling metrics such as scheduled completion time, critical path, early and late start and finish times, and activity float or slack.

Paper For Above instruction

This assignment involves detailed project management analysis through network diagram construction and critical path method (CPM) calculations. Each of the four problems presents a different project scenario with unique activities, durations, and dependencies. The goal is to develop an understanding of project scheduling, identify the critical path, and compute key scheduling metrics to facilitate effective project management.

Problem 1: Fitness Tracker Development

The first problem involves a project to create a new fitness tracker, with activities labeled A through I. The data provided includes durations and predecessor relationships:

  • Activity A: 5 days, no predecessors
  • Activity B: 6 days, no predecessors
  • Activity C: 8 days, no predecessors
  • Activity D: 4 days, predecessors A and B
  • Activity E: 3 days, predecessor C
  • Activity F: 5 days, predecessor D
  • Activity G: 5 days, predecessors E and F
  • Activity H: 9 days, predecessor D
  • Activity I: 12 days, predecessor G

Tasks:

  1. Construct a network diagram based on the above data.
  2. Answer the following questions:
  • a) What is the scheduled completion time of the project?
  • b) What is the critical path?
  • c) What is the early start (ES) for activity F?
  • d) What is the late start (LS) for activity G?
  • e) What is the early finish (EF) for activity B?
  • f) What is the late finish (LF) for activity D?
  • g) What is the float for activity H?

Problem 2: Sail Boat Construction

The second project involves building a sailboat with activities labeled A through J, durations in weeks, and specified predecessors:

  • Activity A: 6 weeks, no predecessors
  • Activity B: 6 weeks, no predecessors
  • Activity C: 5 weeks, predecessor B
  • Activity D: 4 weeks, predecessors A and C
  • Activity E: 5 weeks, predecessor B
  • Activity F: 7 weeks, predecessors D, E, G
  • Activity G: 4 weeks, predecessor B
  • Activity H: 8 weeks, predecessor F
  • Activity I: 5 weeks, predecessor G
  • Activity J: 3 weeks, predecessor I

Tasks:

  1. Construct the network diagram.
  2. Answer the following questions:
  • a) What is the scheduled project completion time?
  • b) Identify the critical path.
  • c) What is the late finish (LF) for activity H?
  • d) What is the early start (ES) for activity B?
  • e) What is the late start (LS) for activity E?
  • f) What is the float for activity D?
  • g) What is the float for activity G?

Problem 3: Kitchen Remodel

The third project concerns remodeling a kitchen, with activities labeled A through H, durations, and dependencies:

  • Activity A: 5 days, no predecessors
  • Activity B: 8 days, no predecessors
  • Activity C: 6 days, predecessor A
  • Activity D: 4 days, predecessors C and B
  • Activity E: 5 days, predecessor A
  • Activity F: 4 days, predecessors D, E, G
  • Activity G: 4 days, predecessors B and C
  • Activity H: 3 days, predecessor G

Tasks:

  1. Construct the project network diagram.
  2. Answer the following questions:
  • a) What is the scheduled project completion time?
  • b) Identify the critical path(s).
  • c) What is the earliest finish (EF) for activity G?
  • d) What is the earliest start (ES) for activity C?
  • e) What is the earliest finish (EF) for activity D?
  • f) What is the late start (LS) for activity E?
  • g) What is the float for activity H?

Problem 4: Software Development

The final project pertains to designing software, with activities labeled A through I, durations, and dependencies:

  • Activity A: 4 days, no predecessors
  • Activity B: 3 days, predecessor A
  • Activity C: 5 days, predecessor A
  • Activity D: 3 days, predecessor A
  • Activity E: 3 days, predecessor B
  • Activity F: 2 days, predecessor D
  • Activity G: 6 days, predecessors C and E and F
  • Activity H: 3 days, predecessor C and E and F
  • Activity I: 2 days, predecessors G and H

Tasks:

  1. Construct the project network diagram.
  2. Answer the following questions:
  • a) What is the scheduled project completion time?
  • b) Identify the critical path.
  • c) What is the late start (LS) for activity E?
  • d) What is the late finish (LF) for activity D?
  • e) What is the early start (ES) for activity A?
  • f) What is the float for activity C?
  • g) What is the float for activity I?
  • h) What is the float for activity F?

References

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