a$)$ Using the Precedence Diagramming Method, analyse the data in Table $1$ and complete the Table.

b$)$ Identify the Critical Path$($s$).$

c$)$ What is the duration of the Project?

d$)$ Compute the Total Float and Free Float for the activities:

D; E; F; K and M

e$)$ Draw the histogram for Resource X based on Earliest Start Times.

f$)$ Describe three $(3)$ decisions you may possibly consider making to resolve any schedule variances. $[3]$

Activity Name Activity Duration $($weeks$)$ Preceding Activity Dependency Type Allocated Resources Earliest Start Time Earliest Finish time Latest start Time Latest Finish Time Total Float Critical or Not Critical

START $0$ Nil $--------$

A $3$ Start F $-$ S $2$X$,$

B $2$ A F $-$ S $3$X

C $3$ B F $-$ S $3$X$.4$M

D $4$ START F $-$ S $2$X$,2$M

E $3$ D F $-$ S $2$X$,2$M

F $5$ E F $-$ S $1$x

G $2$ F$,$C F $-$ S $2$X$,2$M

H $4$ G F $-$ S $-$

J $4$ START F $-$ S $2$X$,4$M

K $1$ J F $-$ S $4$X$,2$M

L $3$ E$,$ K F $-$ S X$,$ M

M $1$ L F $-$ S $3$X$,3$M

N $4$ F$,$ M F $-$ S $2$X

P $2$ H$,$ N F $-$ S X

FINISH $0$ P F $-$ S