$($a$)$ Consider a software project with the following information domain characteristics for calculation of function point metric.

Number of external inputs $(I)=30$

Number of external outputs $(O)=60$

Number of external inquiries $(E)=23$

Number of files $(F)=08$

Number of external interfaces $(N)=02$

Assume the given average weighting factors for I, O$,$ E$,$ F and $N$ are $4,5,4,10$ and $7,$ respectively. It is also given that, out of fourteen value adjustment factors that influence the development effort, four factors are not applicable, each of the other four factors have value $3,$ and each of the remaining factors have value $4.$ Compute the Function Point $($FP$)$ metric for estimating the size of the project.

$(5$ marks$)$