4.(a) You are managing a complex software development project. The total duration of the project is six months, and you've collected the following data for the project: Actual Cost (AC) is \(\$ 550,000\). The project is currently at the end of the fifth month, \(75\%\) of the work has completed, and the original budget at completion (BAC) was \(\$ 600,000\). Answer the following questions: (i) Calculate the key Earned Value metrics: Schedule Performance Index (SPI); Cost Performance Index (CPI); Estimate at Completion (EAC) using SPI forecasts; To-Complete Performance Index (TCPI) if the remaining work needs to be completed within the original budget. (ii) Given the calculated SPI and TCPI in (a)(i), what do these values indicate about the project's schedule, and possible actions to be taken? (iii) What does a negative TCPI suggest, and what actions might you consider taking based on this information? (iv) What does a SPI value greater than 1 indicate, and how does it reflect on the project schedule?