9. Heavenly Treat is a hair and body treatment salon that provides hair services such as haircuts, perms, colors, shampoo, curling; and facial treatment such as removing facial hair, fixing eyebrows, waxing, and facial massage. Customers can be divided into three groups: (i) Group-1 customers want facials and hair styling, (ii) Group-2 customers want hair styling, and (iii) Group-3 customers are walk-in customers who want a simple haircut. Groups 1,2, and 3 constitute 20 percent, 70 percent, and 10 percent of the customers, respectively. All arriving customers must first go to the receptionist to register. It takes an average of 1 minute for the receptionist to register each customer. The registration time, however, is 2 minutes for Group-1 customers who require both facial and hair styling. After registration, Group-1 customers are sent to a skin care therapist for facial services. Facials take an average of 30 minutes. After receiving their facials, Group-1 customers go to the shampoo station to have their hair washed. Washing and drying hair takes about 5 minutes. They are then sent to a senior hair stylist to have their hair done. It takes a senior hair stylist an average of 40 minutes to finish serving a customer. The customer then goes to the cashier to pay for the services, which takes about 3 minutes. After the reception, a Group- 2 customer goes to the shampoo station, a senior hair stylist, and the cashier. The service times of Group-2 customers at this stages are the same as those for Group-1 customers. Group-3 customers-after reception and the shampoo station-are sent to a junior hair stylist to get their haircuts. The average time for a haircut is about 20 minutes. There are one receptionist, one hair washer, five senior hair stylists, one junior hair stylist, and one cashier. a. Draw process-flow chart of the operations in Heavenly Treat. b. Where is the bottleneck of the operations and what is the maximum number of customers that the salon can serve in an hour?