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.
a. Define “minute of work” as the flow unit, what is the capacity rate of the employee at the interior cleaning step per day? Round the answer to the nearest whole number. For example, if your answer is 2543.65, round to 2544; if you answer is 2543.12, round to 2543.
Your answer is .
Answer:
Capacity rate of employee for service D i.e. interior cleaning is calculated as follows:
Interior cleaning is done in package 4.
There are 50 customers per day out of which 25% buy package 4.
Thus,
Number of customers buying package 4= 25% of 50 = (25/100) x 50 = 12.5
Thus, time required to perform interior cleaning for 1 customer = 20 minutes
Time required to perform interior cleaning for 12.5 customer = 20 x 12.5 = 250 minutes.
Thus,
Capacity rate of employee for service D i.e. interior cleaning = 250 minutes
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