Sarah'sOrganicSoapCompanySarah'sOrganicSoapCompanymakesfourkindsoforganicliquidsoap:"regular,""lavender,""citrus,"and"teatree.

Sarah’sOrganicSoapCompanySarah’sOrganicSoapCompanymakesfourkindsoforganicliquidsoap:“regular,”“lavender,”“citrus,”and“teatree.”Demandforthefourscentsare150,120,75,and50kilogramsperhour,respectively.Sarah’sproductionprocesscanproduceanysoapattherateof450kgsperhour,but1.5hoursareneededtoswitchbetweenscents.Duringthoseswitchovertimes,theprocessdoesn’tproduceanysoap.Sarahwantstochooseaproductionschedulethat(i)cyclesrepeatedlythroughthefourscents,(ii)meetstherequireddemand,and(iii)minimizestheamountofinventoryheld.SOSC1.Howmuchtotalset-uptime(inhours)willSarahincurinoneproductionrun(productioncycle)?SOSC2.Howmanykgsof“regular”soapshouldSarahproducebeforeswitchingovertoanotherscent?