QUESTION $4[30]$

To test how effectively the website and mobile app can facilitate the activities of the hunger relief

programme, $100$ smartphones with the installed app are in the process of being issued to

beneficiaries located in the East Rand of Johannesburg. The budget at completion $($BAC$)$ for

procuring and distributing the smartphones and training the beneficiaries on using the app is

estimated at R$50,000\mathrm{.}00$ and scheduled over $30$ days. The work performed every $10$ days is

budgeted at a planned value $($PV$)$ of R$16,667\mathrm{.}00.$ By the end of day $10,$ R$12,500\mathrm{.}00$ has been

spent while $28\%$ of the work has been completed.

$4\mathrm{.}1.$ Calculate the earned value $($EV$)$ by the end of day $10.(4)$

$4\mathrm{.}2.$ Calculate the cost variance $($CV$)$ by the end of day $10.(4)$

$4\mathrm{.}2\mathrm{.}1.$ What does the CV calculated in Question $4\mathrm{.}2$ indicates about the cost of

performing the work? $(1)$

$4\mathrm{.}3.$ Calculate the schedule variance $($SV$)$ by the end of day $10.(4)$

$4\mathrm{.}3\mathrm{.}1.$ What does the SV calculated in Question $4\mathrm{.}3$ indicates about the duration of

performing the work? $(1)$

$4\mathrm{.}4.$ Calculate the cost performance index $($CPI$)$ by the end of day $10.(4)$

$4\mathrm{.}4\mathrm{.}1.$ What does the CPI that you calculated in Question $4\mathrm{.}4$ indicates about the project

budget? $(1)$

$4\mathrm{.}5.$ Calculate the schedule performance index $($SPI$)$ by the end of day $10.(4)$

$4\mathrm{.}5\mathrm{.}1.$ What does the SPI that you calculated in Question $4\mathrm{.}5$ indicates about the project

schedule? $(1)$

$4\mathrm{.}6.$ Calculate the estimate at completion $($EAC$)$ in terms of cost$.(4)$

$4\mathrm{.}7.$ Calculate the EAC in terms of time.