### Project Management Using PERT and Critical Path Analysis#### Problem 3A project was planned using the Program Evaluation and Review Technique (PERT). The following parameters were determined for the project:- **Expected completion time**: 85 days- **Variance of the critical path**: 49**Question**: What is the probability that the project will be completed within 75 days (with an accuracy of 5 decimal places)? Let $ X $ represent the project completion time.**Required Calculation**: \[ P(X \leq 75) = \] Please use the Normal Curve Table to demonstrate how you derive your answer in the provided space below.---#### Problem 4Conduct a project management analysis using the data below to determine the early start (ES), early finish (EF), late start (LS), late finish (LF), and slack for each activity, the total project completion time, and the critical path.**Activity Data:**| Activity | Time (weeks) | Predecessors | Activity | Time (weeks) | Predecessors ||----------|--------------|--------------|----------|--------------|--------------|| A | 13 | — | E | 11 | B || B | 12 | F | F | 13 | B || C | 10 | A | G | 17 | C, E || D | 9 | A | H | 14 | D, F |**Tasks**:(a) Draw a network with ES, EF, LS, and LF. Follow the same format as Figure 11.5 on page 394.(b) Fill in the following table, similar to Table 11.3 on page 396:| Activity | Time (weeks) | ES | EF | LS | LF | Slack | Critical? ||----------|--------------|----|----|----|----|-------|-----------|| A | | | | | | | || B | | | | | | | || C | | | | | | | || D | | | | | | | || E | | | | |

Answered: (3) A project was planned using PERT.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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