Determine the number of containers required to support a lean process which uses $220$ parts per hour. The time for a container to complete a cycle $($move$,$ wait, empty, return, fill$)$ is $0\mathrm{.}75$ hours. A single container has a capacity of $4$ parts. An inefficiency factor of $0\mathrm{.}11$ is currently being used. $($Round any fractional result up to the next higher whole number.$)$