Plant Capacity and Utilization

$3\mathrm{.}6($A$)$ A mass$-$production plant has six machines and currently operates one $8-$hr shift per day, $5$ days per week, $50$ weeks per year. The six machines produce the same part each at a rate of $12p\frac{c}{h}r.($a$)$ Determine the annual production capacity of this plant. $($b$)$ If the plant were to operate three $8-$hr shifts per day, $7$ days per week, $52$ weeks per year, determine