A small construction project consists of 5 activities. Determine the critical path and the total project duration.

An engineering team is estimating the duration of a complex software module (Activity X). The optimistic estimate ($t_o$) is 10 days, the most likely estimate ($t_m$) is 15 days, and the pessimistic estimate ($t_p$) is 26 days. Calculate the expected duration ($t_e$) and variance ($\sigma^2$).

A project has a total budget of $100,000 and is scheduled to be completed in 10 months. At month 5, the planned schedule indicates 50$45,000. Calculate SV, CV, SPI, and CPI.