Answer the following questions about the project network below, using as much space as you need. Map the earliest start times for each activity to the resource demands over time. What are the earliest start times for each activity? $2.$ Create a left$-$justified schedule for the project above. $3.$ Assuming you have five people available $($with similar skills$),$ level the schedule so it is consistent with resource availabilities. What is the new project duration? $4.$ For this project network, identify the critical sequence. $($Frame your answer as Activity Node X to Activity Node Y to Activity Node Z$,$ etc.$)5.$ Consider the project network shown below. Think about fast$-$tracking in the absence of resource constraints. Suppose activities $5-8$ and $8-12$ can be done in parallel. At what level of parallelization is the original critical path no longer the only critical path? Duration $(\backslash$# of People$)$Critical Path $($ignoring resource availabilities$)$