$11-13$ Sid Davidson was able to determine the activity times for the leadership training program. He would like to determine the total project completion time and the critical path$($s$).$ The activity times appear in the following table $($see Problem $11-12)$: Probfem $11-121911-12$ Sid Davidson is the personnel director of Babson and Willcount, a company that specializes in consulting and research. One of the training programs that Sid is considering for the middle$-$level managers of Babson and Willcount is leadership training. Sid has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities and immediate predecessors appear in the following table:

$\backslash$table$[[$ACTIVITY$,$IMMEDIATE PREDECESSORS$],[$A$,-],[$B$,-],[$C$,$B$],[$D$,$A$,$ D$],[$E$,$C$],[$F$,$E$,$ F$]]$

Develop a network for this problem.

Note: means the problem may be solved with QM for Windows; means the problem may be solved with Excel QM; and means the problem may be solved with QM for Windows and$/$or Excel.

ACTIVITY TIME $($DAYS$)$

A $2$

B $5$

C $1$

D $10$

E $3$

F $6$

G $8$

$35$