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 resources used A. Wash Exterior car washing and drying 10 min. 1 automated washing machine B. Wax Exterior car waxing 10 min. 1 automated waxing machine C. Wheel cleaning Detailed cleaning of all wheels 7 min. 1 employee D. Interior cleaning Detailed cleaning inside the car 20 min. 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 40 customers per day. Of these customers, 40 percent buy Package 1, 15 percent buy Package 2, 15 percent for Package 3, and 30 percent for Package 4. The mix does not change over the course of the day. The store operates 12 hours a day. a. What is the implied utilization of the employee doing the wheel cleaning service? b. Which resource has the highest implied utilization? For the next summer, CC Car Wash anticipates an increase in the demand to 80 customers per day. Together with this demand increase, there is expected to be a change in the mix of packages demanded: 30 percent of the customers ask for Package 1, 10 percent for Package 2, 10 percent for Package 3, 50 percent for Package 4. The company will install an additional washing machine to do service A. c. What will be the new bottleneck in the process? d. How many customers a day will not be served? Which customers are going to wait? Explain your reaso
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 | resources used |
A. Wash | Exterior car washing and drying |
10 min. | 1 automated washing machine |
B. Wax | Exterior car waxing | 10 min. | 1 automated waxing machine |
C. Wheel cleaning | Detailed cleaning of all wheels | 7 min. | 1 employee |
D. Interior cleaning | Detailed cleaning inside the car |
20 min. | 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 40 customers per day. Of these customers, 40 percent buy Package 1, 15 percent
buy Package 2, 15 percent for Package 3, and 30 percent for Package 4. The mix does not change
over the course of the day. The store operates 12 hours a day.
a. What is the implied utilization of the employee doing the wheel cleaning service?
b. Which resource has the highest implied utilization?
For the next summer, CC Car Wash anticipates an increase in the demand to 80 customers per
day. Together with this demand increase, there is expected to be a change in the mix of packages
demanded: 30 percent of the customers ask for Package 1, 10 percent for Package 2, 10 percent
for Package 3, 50 percent for Package 4. The company will install an additional washing
machine to do service A.
c. What will be the new bottleneck in the process?
d. How many customers a day will not be served? Which customers are going to wait?
Explain your reasoning!
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