A four$-$station transfer line is to be designed without buffers. Demand dictates that $100$ products must be produced every hour the line is in oper$-$ ation. A cycle time of $0\mathrm{.}5$ minute is being consid$-$ ered. Experience with similar lines has indicated that each station will fail at random about once every $500$ cycles. Downtime will average about $6$ minutes per station failure. Station failures are in$-$ dependent. The line must also be down for an average of $5$ minutes every hour of scheduled time for maintenance, loading, and adjustment. De$-$ termine the availability of this transfer line. Will the goal of $100$ units per hour be met on the average?