$($e$)$ A manufacturing firm produces three product lines in one of its plants: $x,Y,$ and $Z.$ Each

product line has multiple models: $2$ models within product line $x,5$ models within $Y,$ and

$8$ within Z$.$ Average annual production quantities of model $x$ is $300$ units, $500$ units for

model Y$,$ and $400$ units for model Z$.$

$($i$)$ Determine the total quantity of products produced annually in the plant.

$[$C$3$ SP$1][3$ marks$]$

$($ii$)$ Consider product line $x,$ its five models have an average of $15$ components each, and

the average number of operations required to produce each component is $2\mathrm{.}5.$ All

components are made in the same plant. Determine the total number of components

produced, and the operations performed annually.

$[$C$3$ SP$3][4$ marks$]$