Consider the following information about a small project:

Task Budget Duration

$($days$)$

Immediate

Predecessors

Shortest Time

Possible

Acceleration

Cost per day

A $$2002$ None $2$

B $$5005$ A $3$ $$30$

C $$2002$ B $1$ $$15$

D $$4004$ A $4$

E $$3003$ B&D $1$ $$20$

F $$4004$ E&C $2$ $$40$

a$.(4$ Points$)$ Identify the critical path by forward and backward paths. For the tasks

that are not on the critical path, identify their slacks.

b$.(4$ Points$)$ At the end of $8$th day, assume the following progress of the project:

i$.$ Tasks A$,$ B$,$ D are $100\%$ completed, and the actual costs spent for them are

$$200,$ $$500$ and $$450,$ respectively.

ii$.$ Task C is $80\%$ completed, and already cost $$100$

iii. Task E is $66\mathrm{.}67\%$ completed, and already cost $$100$

iv$.$ Task F is not started yet, and didn$$t cost anything either.

Evaluate the progress of the project by filling the following blanks $($both in the

table and in the sentence below the table$)$:

Task Budget Scheduled

Progress

Performed

Progress

ACWP BCWS BCWP

A $$200100\%100\%$ $$200$

B $$500100\%100\%$ $$500$

C $$20080\%$ $$100$

D $$400100\%$ $$450$

E $$30066\mathrm{.}67\%$ $$100$

F $$4000\%$

Total

The whole project is $\_\_\_\_($ahead of$/$behind$)$ schedule, and $\_\_\_\_($above$/$

$$under$)$ budget.