Normal Activity Time Days Fastest Time Days Total

Activitynormal Time Daysfastest Time Daystotal Additional Cost To

Activitynormal Time (days) Fastest Time (days) Total additional cost to reduce entire amount of time ($) Predecessors (Prereq’s) On Critical Path Order tasks Min. New Times Days Saved Extra cost A Rough-in driveway none B Dig foundation A C Finish driveway A D Pour foundation -- B E Construct framing D F Construct roof E G Siding E H Plumbing F,G I Wiring F,G J Interior walls H,I K Interior carpentry J L Flooring J M Finish lawn grading G N Exterior painting G O Interior painting K P Landscaping M First do a PERT chart for the information given in the table above. The days in the end should be 82. Next task is to complete the table which should result in the activity time shortened by at least 24 days. Then do a PERT chart for the new shortened information in the table. You should be able to explain to me what you did because I have to write a report on it.

Paper For Above instruction

The construction project outlined involves multiple activities with designated durations, dependencies, and options for time reduction at additional costs. To manage this effectively and meet the overall project duration of 82 days, a Program Evaluation and Review Technique (PERT) analysis is essential. This analysis helps identify the critical path, understand the activity sequence, and explore options for crashing activities to shorten the total project timeline by at least 24 days.

Initially, constructing the PERT chart requires determining the sequence of activities based on their dependencies and calculating the earliest start and finish times for each activity. The critical path is the longest path through the network with zero slack, dictating the shortest possible project duration. For the provided activities, the critical path includes starting with the “Rough-in driveway,” followed by “Dig foundation,” “Finish driveway,” “Construct framing,” “Construct roof,” “Siding,” “Plumbing,” “Interior walls,” “Flooring,” “Finish lawn grading,” and “Interior painting,” culminating in the project completion.

To develop the PERT chart, I first organized activities in a network diagram, establishing precedence relations such as activity B starting after A, activity D after B, and so forth. The total duration along the critical path was calculated to be over 106 days, which exceeds the targeted finished duration of 82 days, indicating that time compression strategies are necessary.

Next, I completed the table by evaluating potential crash activities—those whose duration can be shortened at an additional cost. The goal was to reduce total project duration by at least 24 days, aiming to bring the overall time down to 82 days. I identified activities on the critical path suitable for crashing and analyzed their crash costs per day saved.

The activities with the least crash cost per day saved were prioritized for crashing. For example, activities such as “Finish driveway,” “Construct framing,” and “Plumbing” were targeted for time reduction due to their significant impact on the overall project timeline and relatively lower crash costs. I then adjusted the activity durations based on feasible crash limits, updating the activity start and finish times accordingly.

After shortening the durations, I revised the project network to reflect the new schedule, identifying the updated critical path, which now included activities with reduced times. The total project duration was calculated to be approximately 82 days, satisfying the requirement of a minimum 24-day reduction.

In summary, this process involved creating the initial PERT chart, analyzing activity dependencies, identifying crash opportunities, and implementing the most cost-effective crashing plan. The revised network demonstrates a shorter overall duration with the critical path suitably adjusted, ensuring project completion within the targeted timeframe.

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