It’stheFourthofJuly!AconcerthasjustendedandtheRoyaltyHotel’strolleytakesconcertgoersfromtheconcertsitebacktothehotel.Becauseit’stheFourthofJuly,thehotelmanagermakesthetrolleydriveraspecialdeal.Thedriver’sregularpayis$10perhour.Butthisnightforeachhourthatheworks,hisrateofpayforthenexthourgoesupby$2.
Ittakes10minutesforthetrolleytomakearoundtripfromthehoteltotheconcertsiteandback(includingtimetoletpeopleboardthetrolleyattheconcertsiteandunloadatthehotel).Afterevery750peoplethatthetrolleytransports,itmuststopforanadditional10minuteswhilethedrivergoesanddepositsthemoneytheriderspaidintothehotelsafe.Afterevery8trips,thetrolleymustwaitanextra10minuteswhilethehotel’smaintenancecrewcomesoutandpicksuptrashfromtheinsideofthetrolley.Supposethedriver’sshiftbeginswhentheconcertends.Supposealsothatthetrolleycanandwillhold125people.Ifthereare4500peopleattheconcertsitewaitingtogetbacktothehotel(it’sabighotel),howmuchmoneywillthedrivermakewhenthelastpersongetsoffofthetrolley?