$(70$ points$)$ For each network below $($Project $($a$)$ and Project $($b$)),$ you should determine by hand:

$(1)$ the earliest time for each event $($node$)$

$(2)$ the latest time for each event $($node$)$

$(3)$ the slack time for each activity $($arc$)$

$(4)$ the critical activities $($arcs$)$

$(5)$ all critical paths in the network from node $1$ to node $7$

$(6)$ the duration of the project

For each project, also verify your results using TORA $($include a screenshot of your TORA results for each network$).$

Project $($a$)$

Project $($b$)$