$16\mathrm{.}6$A $120-$cy$/$hr maximum output pump is used to place the concrete for a $200-$cy slab. The concrete is supplied by $8-$cy truck mixers arriving at the site in $12-$min intervals. The concrete batch plant is located $5$ miles from the site. Average truck speed is $30$ mph$.$ Each truck mixer takes, on average, $10$ min to discharge. The placement crew size is seven workers. Average worker output is $5$ cy of concrete per hour. $($a$)$ How long will the operation take? $($b$)$ How can the operation be reorganized more effectively?