Please write the steps that led you to your answer in detail. Clear and logical justification must be given for either full or partial credit Q$1.$ Consider a dental clinic with one receptionist, one hygienist, one dentist, and one assistant. When a patient arrives at the clinic, she$/$he is first checked in by the receptionist. Then, she$/$he is seen by the hygienist and the assistant. After that, she$/$he is seen by the dentist and the assistant. Finally, she$/$he is checked out by the receptionist. Below figure shows the process flow diagram and the table summarizes the tasks, resources, and task time.

Task Resources Check$-$in Receptionist Task Time Cleaning Hygienist, Assistant $5$min $20$min Treatment Dentist, Assistant Check$-$out Receptionist $10$min $5$min $($a$)$ For each resource, calculate the cycle time and capacity by filling below table. Resource Cycle Time Capacity Receptionist Hygienist Dentist Assistant $($b$)$ Calculate the process capacity and cycle time.

$($c$)$ Draw a Gantt chart that corresponds to the process flow diagram.

$($d$)$ Which resources are relevant? Which resources are irrelevant? Which resources are the bottleneck?

Q$2.$ Think about any operation process that is different from those covered in the class and draw a process flow diagram.