Consider the following project task information, where all durations are given in weeks.

Activity Preceded by

Expected

Duration

Standard

Deviation Variance

A $--321\mathrm{.}331\mathrm{.}78$

B $--27\mathrm{.}671\mathrm{.}672\mathrm{.}78$

C A $363\mathrm{.}3311\mathrm{.}11$

D B $160\mathrm{.}670\mathrm{.}44$

E B $3200$

F B $53\mathrm{.}675\mathrm{.}6732\mathrm{.}11$

G D $16\mathrm{.}6724$

H E$,$G $20\mathrm{.}331\mathrm{.}672\mathrm{.}78$

I E$,$G $342\mathrm{.}677\mathrm{.}11$

J C$,$F$,$H $17\mathrm{.}6739$

$($a$)[5]$ You have determined that the critical path is B$-$F$-$J$.$ Determine the expected project

duration $($in weeks$).$

ANSWER: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$($b$)[10]$ Determine the project duration $($in weeks$)$ for which you can be $99\%$ certain that the

project will be completed.

ANSWER: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$($c$)[10]$ The project is ready to begin now, and the deadline for completion is $100$ weeks.

What duration should the project manager plan for in order to have a $95\%$ likelihood of

completing the project by the deadline? Note:

If this planning date is less than the expected

project duration, you may assume that activities may be crashed $($e$.$g$.$ durations reduced$)$

with no change in the activity variance.