Assignment Content

$1$

Assignment $-$ Web exercise $1$

The following table provides a description for the project $Z.$

$\backslash$table$[[$Activity$,$Duration,Predecessor,$\backslash$table$[[$Cost to crash by$],[1$ day$]],\backslash$table$[[$Max days to$],[$crash$]]],[$A$,5,-,$$$300,1],[$B$,3,-,$$$,100,1],[$C$,4,$A$,$$$,100,1],[$D$,3,$A$,$$$,200,2],[$E$,4,B,$$$,400,3],[$F$,2,$D$,$ E$,$$$,500,2],[,x^2,,0,],[$G$,4,E,$$$,300,3],[H,3,$C$,$$$,100,2]]$

What is the critical path of this project?

What is the duration of this project? $($before crashing$)$

If your task is to crash this project by $2$ days, what is the most efficient cost of doing it$?($Just input the number with no decimals or dollar signs$)$

Suppose that the project duration that you have calculated in question $2($before crashing$)$ is the expected duration of the project. Its variance of the critical path is $4$ days. The principal requires you to complete the project before the day $15.$ If you finish later, you will incur a fine. What is the probability of receiving a fine?

Your manager wonders whether or not you should crash the project by $2$ days. If you do$,$ the variance of the project duration will remain the same. What is the probability that you will receive a fine? Based on your calculations in Q$4$ and Q$5,$ would you recommend crashing the project?