What is resource leveling? What are the impacts of resource leveling on project schedule? (in about 150 words)

50 similar houses are to be built in a housing project. For each house, 9 trade activities need to be carried out, and their relationships are given in the following network diagram. The duration of each trade activity for one house is listed in the table.

Assume all the trade activities need to be carried out continuously and the total project needs to be finished in the shortest possible time.

(1) Calculate the total duration, staring week and finishing week for each trade.

(2) Determine the total project duration.

The following precedence diagram shows all the activities involved in the construction of one floor of a high-rise building. The duration of each activity is also given (in days).  There are 18 typical floors to be constructed for this high-rise building.

What is the Total Project Duration?

You have a project to be completed in 5 months. By the second month, project team members report it is 30% complete. The planned budgeted cost at the second month was $20,000. You have spent $25,000 of the project's $70,000 budget. What is the PV, AC, BAC, EV, CV, CPI, SV, SPI, ETC, and EAC at the day of reporting the project status? 

Comment on the results and explain each of them briefly.

( PV: Planned Value; AC: Actual Cost; BAC: Budget At Completion; EV: Earned Value; CV: Cost Variance; SV: Schedule Variance; CPI: Cost Performance Index; SPI: Schedule Performance Index; ETC: Estimate To Completion; EAC: Estimate At Completion )

Based on the following diagram, what is the critical path?

What are floats? Explain the difference between total float and free float. (in about 100 words)

The following precedence diagram shows all the activities involved in a housing project. For each activity, the most likely activity duration, the most optimistic and most pessimistic time have been given in the table (in weeks).

(1) Calculate the probability that the project can be completed in 18 weeks. Choose from answers (a, b, c, d)

(2) Calculate the probability that the project can be completed in 19 weeks. Choose from answers (e, f, g, h)

 (3) If we want to be 80% sure that the project will be completed on time, how long we should schedule it? Choose from answers (i, j, k, l)

The following precedence diagram shows all the activities involved in a housing project. For each activity, the most likely activity duration, the most optimistic and most pessimistic time have been given in the table (in weeks).

(1) Calculate the probability that the project can be completed in 29 weeks. Choose from answers (a, b, c, d)

(2) Calculate the probability that the project can be completed in 30 weeks. Choose from answers (e, f, g, h)

(3) If we want to be 90% sure that the project will be completed on time, how long we should schedule it? Choose from answers (i, j, k, l)

The following precedence diagram shows all the activities involved in a housing project. For each activity, the most likely activity duration, the most optimistic and most pessimistic time have been given in the table (in weeks).

(1) Calculate the probability that the project can be completed in 28 weeks. Choose from answers (a, b, c, d)

(2) Calculate the probability that the project can be completed in 29 weeks. Choose from answers (e, f, g, h)

(3) If we want to be 98% sure that the project will be completed on time, how long we should schedule it? Choose from answers (i, j, k, l)

In PERT, the _____ of the distribution of the expected project duration is a sum of square root of squared standard deviations of individual _____ activities