$14\mathrm{.}9$ Consider the project in Problem $14\mathrm{.}7$ with the following activity durations:

$($a$)$ Draw a CPM network diagram and find the critical path.

$($b$)$ The project must be completed in $30$ days. Do you anticipate difficulty in meeting the deadline? Explain.

$($c$)$ Can activity H be delayed without delaying the project?

$($d$)$ Can activity E be delayed without delaying the project?