Meghan has collected some information, using the Friendly Seas I ship, for you to analyze and to make a recommendation to her. The Friendly Seas I carries $1,250$ passengers $(1,100$ are processed through normal registration with the remaining $150$ processed as VIP's$).$ A diagram of the process is available at Embarkation Process. Currently, the company has $12$ staff members processing regular registrations and $4$ staff members processing VIP's. On average it takes $3$ minutes to process a regular guest and $4$ minutes to process a VIP guest. Typically the embarkation process requires $6$ hours and runs from $12$ noon till $6$:$00$ p$.$m$.$ In addition to the registration procedure, guests also pass through a photographers section and a security check station.