Vino Inc. is a local company that produces and bottles its own brand of wine using local raspberries. The company sells its wine by the case (12 bottles per case) to national and international markets. Demand in these markets has been increasing this year, with the following data for the past three months:

- **Month Demand (bottles):**
- April: 6,500
- May: 7,000
- June: 8,500

Current production capacity to produce the wine is 100 cases (12 bottles per case) per day; the facility operates 7 days a week. However, due to scheduled maintenance of their equipment, management feels that they can realistically produce no more than 6,960 bottles per week. Last week, two employees were absent several hours each and only 6,000 bottles were produced.

Vino also operates a cocktail bar and sells its wine by the glass. Revenue and expenses from the cocktail bar are kept separate from the production facility operations. The price of a glass of wine is $5.75; the cost of purchasing the wine from the production facility is $10.00 per bottle (4 glasses per bottle). The cocktail bar is open every evening from 4-8 pm with one server working. The fixed costs of the cocktail bar (salaries, rent, utilities, etc.) total $40,000 per year.

At the cocktail bar, previous experience is that 18 customers per hour arrive at the bar (customer arrivals can be described as a Poisson distribution). On average, it takes 2 minutes to serve each customer (the service rate can be described as an exponential distribution).

a) What are the arrival and service rates for the cocktail bar?

Find the following measures of performance of the cocktail bar:

b) What is the average utilization of the cocktail bar employee?

c) On average, how many customers are waiting in line?