QUESTION $4(20$ Marks$)$ Answer the following questions based on resource estimate and Project Evaluation and Review Technique $($PERT$)$ calculations. The scope of work is to build a garage. The total size of the garage is $50$ square metres. The builder knows that the work can be undertaken in $5$ man$-$hours per square metre and the workers work a $10$ hour shift. a$)$ Calculate the man$-$days required. $(5$ Marks$)$ b$)$ Given the resource availability as per the table below, calculate the duration of the work to be conducted for each resource availability given. Man days Resources Available Duration $254255256257259(10$ Marks$)$ c$)$ Different individuals that work on the project may accumulate different times to complete an activity. Based on the $4$ scenarios $($Estimators$)$ of the man$-$days provided in the table below, calculate the PERT estimate for each scenario as well as the overall PERT Estimate Average. Estimator Best Case $($days$)$ Most Likely $($days$)$ Worst Case $($days$)$ PERT Estimate $($days$)1101213212131531516174161718$ Average $(5$ Marks$)$