Question #$2$: $(13$ Marks$)$

$($A$)$ A manufacturing plant produces three product lines in one of its plants: A$,$ B and C$.$ Each product

line has multiple models: $6$ models within product line A$,5$ models within B and $7$ within $C.$

Average annual production quantities of model A is $700$ units, $900$ units for model B$,$ and $1500$

units for model C$.$ Determine the number of $($a$)$ different product models and $($b$)$ total quantity

of products produced annually in this plant. Consider product line C has $9$ models has an average

of $77$ components each, and the average number of operations needed to produce each component

is $7.$ All the components are made in the same plant. Determine the total $($c$)$ number of

components produced and $($d$)$ operations produced annually in this plant.

$(4$ Marks$)$