(14 points total)

3. Information is shown below for the last 5 activities in a project with many activities. The network corresponding to this is shown below and in the table (M, N, O and P are activities before Q and R). The table also shows the earliest start (ES) times for activities Q and R.

Activity	Length	Predecessor	ES	EF	LS	LF	Slack
Q	6	N,O	49
R	5	M,P	57
S	4	Q
U	9	R
V	8	S,R

Q49 arrow to S arrow to V

R57 arrow to V

R57 arrow to U

(8 pts.) a) Fill in the table above with the earliest start (ES) and earliest finish (EF) times, the latest start (LS) and latest finish (LF) times and the slack for activities Q, R, S, U and V. (You can also fill in the boxes in the network with ES, EF, LS LF if you wish.)

(2 pt.) b) What is the minimum (earliest) completion time of the project?

(2 pt.) c) Which activities are on the critical path?

(2 pt.) d) Which activity (or activities) have the greatest slack and how large is that slack?