Bonus Problem $(6$ points$)($Bonus points will be added to your homework score$).$

a$)$ A supplier of instrument gauge clusters uses a Kanban system to control material flow. The gauge cluster

housings are transported five at a time. A fabrication center produces approximately thirty$-$two gauges

per hour. It takes approximately two hours for the housing to be replenished. Due to variations in

processing times, management has decided to keep thirty percent of the needed inventory as safety stock.

How many Kanban card sets are needed? $(3$ points$)$

b$)$ Transmissions are delivered to the fabrication line six at a time. It takes $2$ hours for transmissions to be

delivered. Approximately twenty$-$four vehicles are produced each hour, and management has decided

that twelve percent of expected demand should be maintained as safety stock. How many Kanban card

sets are needed? $(3$ points$)$