$9\mathrm{.}27$ Consider the precedence relations given in Table $9\mathrm{.}21.$a$.$Draw an early$-$start Gantt chart.

b$.$Draw the AON network for this project.

c$.$Draw the AOA network.

d$.$Generate all possible paths for the AOA network, calculate their duration, and analyze the findings.

e$.$Calculate ES$,$ EF$,$ LF$,$ and LS for each activity.

f$.$Calculate the slacks for the activities.