Question

QUESTION 1

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 .

   b. What is the implied utilization rate for the employee at service C (wheel cleaning)? 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 .

   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 .

   d. What resource has the highest utilization rate? Input 1 for washing machine, input 2 for waxing machine, input 3 for employee at C, input 4 for employee at D.

Answer 1

Customers who avail service A = All customers = 50 per day

Customers who avail service B = 70% customers = 50*0.7 =35 per day

Customers who avail service C = 40% customers = 50*0.4 =20 per day

Customers who avail service D = 25% customers = 50*0.25=12.5 per day

Maximum capacity of a station = (60/ time per customer)* number of hours in a day

Daily Capacity of stations

A = (60/10)*10=60

B= (60/15)*10=40

C= (60/16)*10 = 37.5

D= (60/20)*10 =30

(a) Step D ( interiro cleaning) has a capacity of 30 per day.

(b) Utilisation of employee at C ( wheel cleaning ) = utilsied capacity/ max capacity = 20/37.5 =0.5333 =53.33%

(c) Utilisation of A = 50/60= 0.8333 =83.33%

(d) Utilisation of other two stations

B= 35/40 =0.875=87.5%

D = 12.5 /30 =0.4166 =41.66%

It can be seent hat the maximum utilisation is of station B ( Waxing). Answer is 2.