Subra Carwash company specializes in several customized services, as follows.

Service

Description

Processing time

Resource used

A$.$ Wash

Exterior Washing and Drying

$14$ min

$1$ Automated washing Machine

B$.$ Wax

Exterior Car waxing

$12$ min

$1$ Automated waxing Machine

C Wheel cleaning

Cleaning all wheels

$9$ min

$1$ employee

D$.$ Interior cleaning

Cleaning inside

$20$ min

$1$ employee

The car wash company specializes in customized packages as

Package $1$: Include only car washing $($service A$)$

Package $2$: Include only car washing and waxing $($services A and B$)$

Package $3$: Include only car wash, waxing, and wheel cleaning $($services A$,$ B$,$ and B$)$

Package $4$: Include all four services $($A$,$ B$,$ C$,$ and B$)$

Vehicles $($customers$)$ arrived at a rate of $60$ cars per day. Of these, $45\%$ selected Package $1,15\%$ selected Package $2,15\%$ selected Package $3,$ and $25\%$ selected Package $4.$ The store operates $15$ hours a day.

Draw a flow process chart to show the processes and packages.

What is the utilization of each of the services?

Which service caused the bottleneck? Explain.

Subra predicts that the demand for customers may increase to $70$ customers a day next summer. Along with this growth, the company expects a change in the composition of car arrivals. It is projected that $30\%$ of customers will select Package $1,10\%$ will select Package $2,10\%$ will select Package $3,$ and $50\%$ will select Package $4.$ To accommodate this increase in demand, the company has installed an additional machine to Wash service. The store plans to operate for $13$ hours daily.

Which activity will become the new bottleneck?

How many customers a day will not be served? Which customers are going to wait? Explain your reasoning.

How will you manage this facility to manage next summers demand