Consider a project involving $4$ activities, as shown in the following figure. $"x"$

indicates the current time, and the shaded area indicates the percentage that has

been completed. The total planned costs of these activities are $($in $$000\text{'}$s$)$: A: $100,$

B: $110,C$:$120,D$:$150.$

At time $"x",$ the project actual cost is $250($in $$000\text{'}$s$).$

a$)$ Calculate the project CV$,$ SV$,$ CPI, SPI values at time $"$X$".$ Is the project within

budget and schedule?

b$)$ Calculate the Estimate at Completion $($EAC$)$ if the project continues under the

same condition experienced to date.

c$)$ Calculate the To$-$complete performance index $($TCPI$)$ values based on BAC and

EAC. Explain the meaning of the obtained TCPI.