please answer enitre question and please show work

3. Figure 6.11 details the process flow for two types of customers who enter Barbara's Boutique shop for customized dress alterations. After Step T1. Type A customers proceed to Step T2 and then to any of the three workstations at T3, followed by Steps T4 and T7. After Step T1, Type B customers proceed to Step T5 and then Steps T6 and T7. The numbers in parentheses are the minutes it takes to process a customer. a. What is the capacity of Barbara's shop in terms of the numbers of Type A customers who can be served in an hour? Assume no customers are waiting at Steps T1 or T7. b. If 30 percent of the customers are Type A customers and 70 percent are Type B customers, what is the aver- age capacity of Barbara's shop in customers per hour? C. Assuming that the arrival rate is greater than five customers per hour, when would you expect Type A customers to experience waiting lines, assuming no Type B customers in the shop? Where would the Type B customers have to wait, assuming no Type A customers? FIGURE 6.11 Process Flow for Barbara's Boutique Customers T3-a T2 Type A (13) T3-b (10) T4 (18) T1 (12) Type A or B? T3-C (11) T7 (10) Type B T5 (15) T6 (22)