Asphalt paver production: $(10$ points maximum value$).$ A paving project near Wayside in Washington County, MS has been awarded to Gumbo Paving Contractors. The specifications require a $2.0"$ thick by $14ft$ wide paved lane, and a specified minimum density of $110lb.sq$ in$.$ Gumbo's superintendent plans to use a batch plant with $300$ tons$/$ hr capacity. Calculate the required paver speed to keep up with the batch plant capacity. Calculate the balanced number of $22$ ton$-$capacity trucks required to keep up with the paver. Assume truck cycle time is the sum of $5$ minutes load time, $22$ minutes haul time, $5$ minutes dump time, and $18$ minutes return time. Add $2$ trucks to your calculated value to ensure paver is never idle. See p$.15$ balanced no$.$ of trucks equations.