Roger Ginde is developing a program in supply chain management certification for mangers.

Ginde has listed a number of activities that must be completed before a training program of this

nature could be conducted. The activities, immediate predecessors, and times appear in the

accompanying table. Please show your work.

Activity Immediate

Predecessor$($s$)$

Time

$($weeks$)$

A None $2$

B None $5$

C None $1$

D B $10$

E A$,$ D $3$

F C $6$

G E$,$ F $8$

$3\mathrm{.}13.$ The following represent activities in Marc Masoud$$s Construction Company project

Activity Immediate

Predecessor$($s$)$

Time

$($weeks$)$

A None $1$

B None $4$

C A $1$

D B $5$

E B $2$

F C$,$ E $7$

G D $2$

H F$,$ G $3$

a$)$ Drawe the network to represent his situation.

b$)$ What activities are on the critical path? Please show your work.

c$)$ What is the length of the critical path? Please show your work.

$3\mathrm{.}20.$ The estimated times and immediate predecessors for the activity in a project at George

Kyaris$$s retinal scanning company are given in the following table. Assume that the activity

times are independent.

Time $($weeks$)$

Activity Immediate

Predecessor$($s$)$

Optimistic

time: a

Most likely

time: m

Pessimistic

time: b

A None $91011$

B None $41016$

C A $91011$

D B $55811$