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Need help with system 3 please! A fast-food franchise is considering operating a drive-up window food service operation. Assume that customer arrival follow a Poisson

Need help with system 3 please! image text in transcribed
A fast-food franchise is considering operating a drive-up window food service operation. Assume that customer arrival follow a Poisson probability distribution, with an arrival rate of 22 cars per hour, and that service times follow an exponential probability tribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to say for and receive their orders. The following three service alternatives are being considered 1. A single server operation in which one employee fils the order and takes the money from the customer. The average service time for this alternative is 2 minutes 2. A single-server operation in which one employee is the order while a second employee takes the money from the customer. The average service time for this temave s 125 minutes 3. A two-server operation with two service windows and two employees. The employee stationed at each window is the order and takes the money from customers amving at the window. The average service time for this alternative is 2 minutes for each server The following cost information is available for the given fast-food franchise Customer waiting time is valued at $28.00 per hour to reflect the fact that waiting time is costly to the fast-food business The cost of each employee is $11.75 per hour. To account for equipment and space, an additional cost of $22.00 per hour is attributable to each server What is the lowest-cost design for the fast-food business? (Express the total cost per hour in dollars. Round your answers to the nearest cont.) The total cost per hour, le the combined time value of the customer and the business, is $110.75 for system 1, 560.18 for system 2, and $ x for system, respectively. Therefore, system 2 is the most economical

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