QUESTION 1
CC Car Wash specializes in car cleaning services. The services offered by the company, the exact service time, and the resources needed for each of them are described in the table following:
Service |
Description |
Processing Time |
Resource |
A. Wash |
Exterior car washing and drying |
10 minutes |
1 automated washing machine |
B. Wax |
Exterior car waxing |
15 minutes |
1 automated waxing machine |
C. Wheel Cleaning |
Detailed cleaning of all wheels |
16 minutes |
1 employee |
D. Interior Cleaning |
Detailed cleaning inside the car |
20 minutes |
1 employee |
The company offers the following packages to their customers:
• Package 1: Includes only car wash (service A).
• Package 2: Includes car wash and waxing (services A and B).
• Package 3: Car wash, waxing, and wheel cleaning (services A, B, and C).
• Package 4: All four services (A, B, C, and D).
Customers of CC Car Wash visit the station at a constant rate (you can ignore any effects of variability) of 50 customers per day. Of these customers, 30 percent buy Package 1, 30 percent buy Package 2, 15 percent buy Package 3, and 25 percent buy Package 4. The mix does not change over the course of the day. The store operates 10 hours a day.
c. What is the implied utilization rate for the automated washing machine? Round your answer to the nearest whole number and ignore the percentage sign. For example, if your answer is 0.45 or 45%, fill in 45; if your answer is 0.76 or 76%, fill in 76.
Your answer is .
Answer : Firstly we will calculate total number of customers coming for
Customers coming for Service A = 50 per day
Customers coming for Service B =70% of 50 =35 per day
Customers coming for Service C =40% of 50=20 per day
Customers coming for Service D =25% of 50=12.5 per day
Now, we will calculate maximum capacity of all services
Capacity of Service A =10x ( 60/10) =60 per day
Capacity of Service B = 10x60/15 = 40 per day
Capacity of Service C = 10x60/16=37.5 per day
Capacity of Service D =10x60/20=30 per day
Implied utilisation of automated washing machine = Actual capacity handled / max capacity of service
Implied utilisation of automated washing machine A= 50/60=0.8333 =83.33%
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