MGMT$-1008$ Project Management

Assignment $5$

Dropbox submission Due: Sunday April $14$th$,2024$

Question $1$ Complete the Arrow on Activity diagram

below:

Question $2$

Activity Required Predecessor Normal Time Normal Cost Crash Time Crash Cost

A $($None$)8$ $$40006$ $$6000$

B $($None$)5150042000$

C $($None$)6250043000$

D A $4180032000$

E A$,$ B $6100051200$

F C $7200053000$

G A $5300036000$

H D$,$ E$,$ F $8450059000$

I C $96000410000$

J D$,$ E$,$ F $6600048000$

K G$,$ H $4200032600$

L D$,$ E$,$ F $6300039000$

M I, J $48000212000$

The scheduled completion time is $25$ weeks. You must pay a $$1500$ penalty for every

week you are late. You get a $$1000$ bonus for every week you are early.

$1.$ Create an Activity On Node $($AoN$)$ network diagram.

$2.$ Find the normal completion time and the critical path.

$3.$ Determine the schedule that minimizes your total cost for this project, including any

penalty or bonus.

a$.$ How did you decide when to stop trying shorter and shorter completion times?

b$.$ How many weeks total should the project take?

c$.$ What will your total cost be$?$

d$.$ Which activities will be shortened from their normal times, and by how much?

e$.$ Which activities are critical to the least cost schedule?

Question $3$

What does PERT stand for?

In a given project, the most optimistic duration is $2$ days, most likely duration is $3$ days

and the pessimistic duration is $10$ days. What is the PERT weighted average?