Superior Wire Co$.$ produces three types, Product I, Product II$,$ and Product III, of cable for industrial purposes. Three machines, Machine A$,$ Machine B and Machine C$,$ are utilized to achieve three processes, weaving, coating, and coiling, respectively.

The firm operates throughout the year except for $121$ closure dates. The plant operates three $8-$hour shifts daily. Table $1$

Machine A $($Weaving$)$ Machine B $($Coating$)$ Machine C $($Coiling$)$

Occurances Duration $($Minutes$)$ Occurances Duration $($Minutes$)$ Occurances Duration $($Minutes$)$

Calibration $244020501220$

Cleaning $406045451640$

Maintenance $121201690865$ For example, Machine A will undergo a $40-$minute calibration $24$ times during the year. During the calibration event $($occurrence$),$ Process I, which is executed by Machine A$,$ will be paused.

What is the design capacity of the machines? Specifically, what are the available hours of operation when only considering days of closure?