Give your best attempt at solving the attached problems based on the formulas below $($as well as this week's lecture$).$ We will be reviewing the solutions in class and you will have an earned value problem on the final exam.

Earned Value formulas.$$

SV $=$ EV $-$ PV; SPI $=$ EV$/$PV

CV $=$ EV $-$ AC; CPI $=$ EV$/$AC

CR $=$ SPI x CPI

Prob. $1.$Find the schedule variance$($SV$)$ and cost variance $($CV$)$ for a project underway that has an actual cost $($AC$)$ of $$540,000,$ a scheduled cost $($PV$)$ of $$523,000,$ and an earned value $($EV$)$ of $$535,000.$

Prob. $2.$ A project in progress had an actual cost of $$34,000,$ a planned cost of $$42,000,$ and a value completed of $$39,000.$ Find the spending $($cost$)$ and schedule variances and the CPI and the SPI.$$ What is the Critical Ratio $($CPI times SPI$)?$

Prob. $3.$ A construction project underway exhibits an actual cost of $$78,000,$ and a scheduled cost of $$84,000.$ The foreman estimates a value completed of $$81,000.$ What are the spending and schedule variances?$$ What is the critical ratio?

Fall A