$14.$ Calculate the ES$,$ EF$,$ LS$,$ and LF times and the slack for each activity in the figure below, and identify the critical path for the project. Can the project be completed in $30$ weeks? Assume that $$Systems Analysis$$ actually finished at $8$ weeks, $$Design Input & Output$$ actually finished at $15$ weeks, and $$Design Database$$ actually finished at $19$ weeks. Recalculate the expected project completion time. Which activities would you focus on in order to get the project back on schedule?

Activity ED ES EF LS LF TS

$1.$ Prob. Def.

$2.$ Sys$.$ Analysis

$3.$ Design I$/$O

$4.$ Design DB

$5.$ Develop Input

$6.$ Develop Output

$7.$ Develop DB

$8.$ Test System

$9.$ Implement

Critical path:

Can the project be completed in $30$ weeks?

Activity ED ES EF LS LF TS AF

$1.$ Prob. Def.

$2.$ Sys$.$ Analysis

$3.$ Design I$/$O

$4.$ Design DB

$5.$ Dev. Input

$6.$ Dev. Output

$7.$ Dev. DB

$8.$ Test System

$9.$ Implement

Which activities would you focus on in order to get the project back on schedule?