Question

4. A coi-opersted dry-cleaning store has five machines. The operating charscteristics of the machines are such that any machine breaks down scording to a Poisson process with mean breakdown rate of one per day. A repairman can fix a machine according to an exponential distribution with a mean repair time of one-half day. Currently, three repairmen are on duty. The manager has the option of replacing these three repairmen with a super-repairman whose salary is equal to the total of the three regulars, but who can fix a machine in one-third the time, that is, in one-sixth day. Should he be hired? (Hints: One-half one-third, and one-sixth mean 1/2, 1/3 and 1%, respectively. You want to maximize the number of working machines, i.e., maximizing 5-L.)

Answer 1

Solution ,- Toteal no of moxchnes:5 Tothl operatinal mchines atany gi uen time:5-L Couse . Thsc reir ma) 8o avg opeafinal modkinas pe day(t