The supervisor at the Precision Machine Shop wants to determine the staffing pol

Question

The supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes total operating costs. The average arrival rate at the tool crib, where tools are dispensed to the workers, is 5machinists per hour. Each machinist's pay is $15per hour. The supervisor can staff the crib either with a junior attendant who is paid $9 per hour and can process 14 arrivals per hour or with a senior attendant who is paid $18 per hour and can process 20 arrivals per hour.

Which attendant should be selected?

The(senior attendant, junior attendant) should be selected, with a total estimated hourly cost of

$.

(Enter your response rounded to two decimal places.)

Explanation / Answer

Let us calculate the per hour cost for each kind of machinist.

If a junior attendant is hired, then total cost per hour will be 5*9 = $45 per hour.

The arrivals processed during this one hour will be = 14*5 = 70.

If a senior attendant is hired, then total cost per hour will be 18*5 = $90

The arrivals processed during this one hour will be = 5*20 = 100.

Let us summarize the given information. If a junior attendant is hired, the total cost will be $45 and the arrivals processed will be 70 and if a senior attendant is hired, the total cost will be $90 and arrivals processed will be 100.

The arrivals per dollar for junior attendant is = 70/45 = 1.56

The arrivals per dollar for senior attendant is = 100/90 = 1.11

Therefore, arrivals per dollar for junior attendants are stronger than those for senior attendants.

Hence, the JUNIOR ATTENDANT should be selected with a total hourly cost of $45

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.