Problem $9-15($Algorithmic$)$

$-9\mathrm{.}2$: Project Scheduling considering Uncertain Activity Times

Doug Casey is in charge of planning and coordinating next spring's sales management training program for his company. Doug listed the following activity information for this project:

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$[$b$]\{2\}\{*\}\{$Activity$\}$ & $\backslash$multirow$[$b$]\{2\}\{*\}\{$Description$\}$ & $\backslash$multirow$[$t$]\{2\}\{*\}\{\backslash$begin$\{$tabular$\}\{$l$\}$

Immediate $\backslash \backslash$

Predecessor$($s$)$

$\backslash$end$\{$tabular$\}\}$ & $\backslash$multicolumn$\{3\}\{|$c$|\}\{$Time $($weeks$)\}\backslash \backslash$

$\backslash$hline & & & Optimistic & Most Probable & Pesssimistic $\backslash \backslash$

$\backslash$hline A & Plan topic & $-$ & $2$ & $2$ & $2\backslash \backslash$

$\backslash$hline B & Obtain speakers & A & $1\mathrm{.}5$ & $2$ & $2\mathrm{.}5\backslash \backslash$

$\backslash$hline C & List meeting locations & $-$ & $2$ & $2\mathrm{.}5$ & $9\backslash \backslash$

$\backslash$hline D & Select location & C & $1\mathrm{.}5$ & $1\mathrm{.}5$ & $1\mathrm{.}5\backslash \backslash$

$\backslash$hline E & Finalize speaker travel plans & B$,$ D & $2$ & $4$ & $6\backslash \backslash$

$\backslash$hline F & Make final check with speakers & E & $4$ & $4\mathrm{.}5$ & $8\backslash \backslash$

$\backslash$hline G & Prepare and mail brochure & B$,$ D & $1\mathrm{.}5$ & $2$ & $2\mathrm{.}5\backslash \backslash$

$\backslash$hline H & Take reservations & G & $0\mathrm{.}5$ & $1$ & $1\mathrm{.}5\backslash \backslash$

$\backslash$hline I & Handle last$-$minute details & $\backslash (\backslash$mathrm$\{$F$\}\_\{$r$\}\backslash$mathrm$\{$H$\}\backslash )$ & $3$ & $3\mathrm{.}5$ & $4\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Network $($iv$)\backslash (\backslash$square $\backslash )$

$-$ Whinh meninat antuante in anrmants

b$.$ Prepare an activity schedule.

If required, round your answers to two decimal places. If your answer is zero, enter $"0".$

Activity

Expected Time

Variance

A b$.$ Prepare an activity schedule.

If required, round your answers to two decimal places. If your answer is zero, enter $"0".$

c$.$ What are the critical activities and what is the expected project completion time?

$\backslash [$

$\backslash$mathrm$\{$C$\}-\backslash$mathrm$\{$D$\}-\backslash$mathrm$\{$E$\}-\backslash$mathrm$\{$F$\}-\backslash$mathrm$\{$I$\}\backslash$quad $\backslash$sim

$\backslash ]$ c$.$ What are the critical activities and what is the expected project completion time?

If required, round your answer to one decimal place.

Expected project completion time $\backslash (=\backslash )$ weeks.

d$.$ If Doug wants a $0\mathrm{.}99$ probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project? Base your calculation solely on the critical path. Note: Use Appendix B to identify the standard score.

If required, round your answer to one decimal place.

$\backslash ($ T$=\backslash )$ weeks.