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 following table: The company offers the following packages $($with services performed in this order$)$ to their customers: $-$ Package $1$: Includes only car wash $($service A$)-$ Package $2$: Includes car wash and waxing $($services A $\backslash$& B$)-$ Package $3$: Includes car wash, waxing, and wheel cleaning $($services A$,$ B$,$ and C$)-$ Package $4$: Includes all four services $($services A$,$ B$,$ C$,$ and D$)$ Assume customers pay in advance and arrive at a constant rate of $40$ customers per day. Of these customers, $50\backslash \%$ buy Package $1,10\backslash \%$ buy Package $2,25\backslash \%$ buy Package $3,$ and $15\backslash \%$ buy Package $4.$ The mix does not change over the course of the day. CC Car Wash operates $8$ hours a day. a$)$ Draw the process flow diagram for CC Car Wash. Include unit load and capacity of the resource for each activity. $[$Hint: Here the activities are the services $\backslash ($ A$,$ B$,$ C $\backslash ),$ and D$.]$ b$)$ What is the throughput for each of the four operations$/$services$?[$Hint: This is a case of multiple products in the mix. So$,$ you'll need to first calculate the demand rate for each activity.$]$ c$)$ What is the process throughput for CC Car Wash? d$)$ What are the resource utilizations for the resources at all $4$ activities at CC Car Wash? e$)$ Which resource pool has the highest utilization?