QUESTION $1$

The AUDI S$95$ is a new custom$-$designed sports car. Analysis of the task of building the AUDI $\backslash$$$9\backslash$$ reveals the following list of relevant activities, their imediate predecessors, and their duration.

a$)$ Drar a network diagram for the project.

b$)$ Determine the length of thls project.

e$)$ Oulline the activities that fall on the critival poth.

d$)$ If the AUDD S$9$S has to be completed $2$ days earlier, would it help to:

i$.$ Bay peesosembled transmission and drivetrains?

ii$.$ Install robots to halve engite$-$building time?

in$.$ Speed delivery of special aceessories by $3$ days?

Briefly explain the remson$($s$)$ foe choosing or not choosing the activities listed.

$[3$ marks$]$

e$)$ Describe how resources might be borrowed from activities on the won$-$critical path to spetd$-$up astivities on the critical path.

$[2$ marks$]$

Using PERT, David Johnson was able to determine that the expected project completion time for the construction of a yacht is $21$ monfls and the project variance is $4.$

f$)$ Determine the probability that the project will be completed in $17$ months.

$[1$ mark$]$

s$)$ Determine the probability that the project will be completed in $25$ months.

$[1$ marla$]$

h$)$ Compare your answent for parts $($f$)$ und $($g$),$ the explain the signifienoce of each. $[3$ marks$]$

$[$Total $20$ marks$]$