$1.($Process analysis $40$ pts$.)$Galahad$,$ the owner of a small dry$-$cleaning service, wants you to help optimize his business. First, the receptionist takes S minutes to receive payment for a load of clothing, collect the clothing and note any stains or tears. The clothing load is then placed into one of four washing machines, taking $25$ minutes each. Two employees then iron the clothing, taking typically $15$ minutes for each load.