Comfy Shoes Inc builds shoes tailored to meet each individual customer's needs. Customers who visit the downtown offices of Comfy Shoes in Philadelphia can choose one or more of the following four custom-tailoring services. Customers receive their shoes in the mail within a week of their initial visit. Service Description Activity Time 12 min. 12 min. 10 min. 30 min. A. Walking Basics B. Walking Plus C. Running Basics D. Running Adv Take measurements for basic walking shoes. Choose specific design (e.g. material, color selection) Take measurements for tailor-made running shoes Consult physical therapist and obtain precise needs for running shoes. Also choose specific design. The company offers the following packages to their customers: 1. Package 1: Includes only Walking Basics (Service A) 2. Package 2: Includes Walking Basics and Walking Plus (Services A and B). 3. Package 3: Walking Basics, Walking Plus and Running Basics (Services A, B and C). 4. Package 4: All four services (A, B, C, and D) Customers of Comfy Shoes visit the store at a constant rate (you can ignore any effects of variability) of 60 customers per day. Of these customers, 45% buy Package 1, 10% buy Package 2, 20% buy Package 3 and 25% buy Package 4. The mix does not change over the course of the day. The store operates 12 hours a day and it has 1 attendant (worker) for each service type. a. If the total number of customers is 60 per day, calculate the number of customers per day for each type of service (A, B, C, D)? (6 points) b. Calculate the capacities (per day) of each service type in minutes? (6 points) c. Find the implied utilization (per day) of the attendants in each type of service? (4 points) d. Is the current capacity of Comfy Shoes enough to serve all customers? (3 points) e. If the Comfy Shoes hire additional 1 worker for Service A, find and explain which Service type (A, B, C or D) will be the bottleneck? (6 points)