ideal conditions, a service bay at a Fast Lube can serve $7$ cars per hour. The effective capacity of a Fast Lube service bay is $5\mathrm{.}5$ cars per hour, with efficiency known to be $0\mathrm{.}88.$ nimum number of service bays Fast Lube needs to achieve an anticipated production of $100$ cars per $8-$hour day $=2$ service bays $($enter your response rounded up to the next number$).$