One stove is available to cook patties. It can cook patties in $6$ minutes and holds $50$ patties. On average, it takes $45$ seconds for a worker to assemble a burger. There are $8$ workers available to assemble. The time it takes to deliver can be omitted. Assume that one burger needs only one patty. What is the hourly capacity of the process, that is$,$ how many burgers can the process deliver per hour?