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2.1) Customers enter a fast-food restaurant according to an exponential interarrival time with a mean of 1 minute. Customers have a choice of ordering

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2.1) Customers enter a fast-food restaurant according to an exponential interarrival time with a mean of 1 minute. Customers have a choice of ordering one of three kinds of meals: (1) a soft drink, (2) fries, or (3) soft drink, fries, and a burger. Upon entering, the customer enters a single queue, awaits the availability of a cashier, gives the order to the cashier then a cook prepares the order, the customer pays the cashier, and then the customer exits. A cashier may not take any additional orders until the current customer has paid. In this system, there are two cooks and two cashiers. One queue with a capacity of ten customers serves both cashiers. The time to order and pay is represented by a triangular distribution with parameters (0.4, 0.8, 1.2) minutes and (0.2, 0.4, 0.6) minutes, respectively. Use the information in the following table: Type I Customers 30% Cooking Time Uniform (0.3, 0.8) II 15% Uniform (0.8, 1.1) III 55% Uniform (1.0, 1.4) Model this system for 40 hrs of operation. a. How many of each order type were placed? b. What is the utilization of the cashiers and cooks? C. What is the average flow time for a customer? d. What is the average time in the queue? e. How many customers leave the system because the wait is too long?

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