Component AXA is made entirely in cost centre $100.$ Material cost is $12$ paise per component and each component takes $20$ minutes to produce. The machine operator is paid $1\mathrm{.}44$ rupee per hour, and machine hour rate is $3\mathrm{.}00.$ The setting up of the machine to produce the component AXA takes $4$ hours $40$ minutes. On the basis of this information, prepare a cost sheet showing the production and setting up cost$,$ both in total and per component, assuming that a batch of: $($a$)100$ components, $($b$)1000$ components, and $($c$)10,000$ components are produced.

$15$