2. StepByStep (SBS) Support Services provides aid for persons with developmental disabilities. They run programs for young adults on a year round basis. Each day there are 25 support staff members available. However, the need depends on the mix of clients. Clients are categorized by the required staff to client ratio: Type A clients are 1:5 (1 staff member per 5 clients) Type B clients are 1:4 Type C clients are 1:3 Type D clients are 1:2 Currently the client mix is 15% type A, 20% type B, 35% type C, 30% type D.

a. Define the flow unit at SBS as an average client. What fraction of a staff members day does the average client require? Hint: What fraction of a staff members day does a Type A client require? (8 points)

b. What is the average required staff to client ratio? (8 points)

c. On average, how many clients can the 25 support staff members serve on a single day? (5 points)