The business is going to establish a new office location. The information of the main jobs involved is provided in the table below. To finish this project as soon as possible, they also work on weekends (i.e., 7 days a week). Note that one-day job time means a full processing day through the midnight to next day. For example, if the job starts at 2/1/2023 and requires the job time of 3 days, it will be finished on 2/4/2023. Answer the questions below, Q1~Q3.

Q1: The business plans to start the project no sooner than 3/1/2023. The manager was told that it might take extra 3 days (i.e., a job time of 18 days instead of 15) to move into the office (Job G) because more equipment need to be relocated. It is possible that the installation of the furnishings (Job D) cannot start until 3/17/2023 due to the installation team's busy schedule in March. It is also possible that the phones cannot be arranged (Job E) until 3/20/2023 given the cable/wiring issues recently found for repair. If with all these delays and issues for jobs D, E and G, what is the earliest date the project can be finished on? Besides the answer, you must show your calculation and analysis.

Q2: This question is separate from Q1. The manager re-estimated the job times as shown in the table below. He hopes that everything can be moved into the new office and settle in within 8 weeks (i.e., 56 days). What is the probability that his goal can be achieved? Use PERT to calculate the answer and show your analysis below.

Q3: Continued from Q2, the manager was considering two options to improve the likelihood of achieving his goal. Option 1 is adding part timers to the workforce for Job C (arrange for the furnishings) to reduce the overall job time. It means the optimistic, mostlikely and pessimistic job times become 4, 6 and 14 days, respectively. Option 2 is using another team for Job C which offers a better consistency in the job time, with the optimistic, mostlikely and pessimistic job times of 6, 7 and 14 days, respectively. Which option should he choose? Show your calculation and analysis.

\begin{tabular}{|c|l|c|c|} \hline Job & \multicolumn{1}{|c|}{ Description } & ImmediatePredecessors & JobTime(Days) \\ \hline A & Lease the site & -- & 7 \\ \hline B & Hire the workers & A & 30 \\ \hline C & Arrange for the furnishings & A & 6 \\ \hline D & Install the furnishings & C & 13 \\ \hline E & Arrange for the phones & A & 8 \\ \hline F & Install the phones & D, E & 7 \\ \hline G & Move into the office & B, D, F & 15 \\ \hline & & & Conditiona \\ \hline \end{tabular}