Problem $2$

You are asked to perform a capacity analysis for Orange County Car Wash. The following information

about the service system has been gathered:

Resource Number

Parking capacity $25$ parking spots

Pre$-$wash $2$ workers

Standard $4$ machines

Deluxe $3$ machines

Drying $5$ workers

Cars stay in the parking lot for an average of $25$ minutes, and the parking has $25$ parking spots. There are

$2$ workers in the pre$-$wash station, each can handle a prewash service in $5$ minutes per car. $60\%$ of all

cars want standard cleaning service and $40\%$ of all cars want deluxe cleaning service. Standard cleaning

takes $8$ minutes for a standard cleaning machine and Deluxe cleaning takes $13$ minutes for a deluxe

cleaning machine. All cars complete the service by going through the drying station. There are $5$

workers in the drying station, each can handle a drying service in $5$ minutes per car.

Notes: Please provide final answers of car arrival per hour with integer numbers. For example, if you

calculated $2\mathrm{.}45$ cars per hour, please write $2$ cars per hour; If you calculated $2\mathrm{.}52$ cars per hour, please

write $3$ cars per hour.

a$.$ What is the capacity of each resource in car$-$arrivals per hour?

b$.$ What is the system capacity in car$-$arrivals per hour? Which resource$($s$)$ is $($are$)$ the

bottleneck$($s$)?$

c$.$ Assume the demand is equal to the system capacity of the car wash. What is the utilization of

each resource? Please provide answers to $2$ decimal points.

BUSI $403$ Problem Set B

Spring $2024$ Due: $1/30/2024$; $11$:$59$ PM

$3$

d$.$ If you can add $2$ additional units of resource at the current bottleneck step, what is the new

system capacity in car$-$arrivals per hour?