a$.$ At Kobesh Mining Company $($KMC$),$ the blasted ore material has a

density of $2\mathrm{.}5\frac{t}{m}3$ and a swell of $20\%.$ The company wants to

purchase a $5$ m $3$ power shovel from Komatsu Mining Corporation

with a dipper fill factor of $0\mathrm{.}9.$ The manufacturer's recommended

cycle time for the digging condition is $30$ sec for a $90$ swing at an

optimum digging depth. The anticipated availability and utilization

are $0\mathrm{.}90$ and $0\mathrm{.}90$ respectively. Determine the hourly production rate

of the shovel.