Question

In a previous exercise, you were asked to model the following scenario with a directed network. A car rental company has three locations in Mexico City: the International Airport, Oficina Vallejo, and Downtown. Customers can drop off their vehicles at any of these locations. Based on prior experience, the company expects that, at the end of each day, 20% of the cars that begin the day at the Airport will end up Downtown, 709 will return to the Airport and 10 beat 0 a avalg. Similarly, 80% of the Oficina Vallejo cars will end up Downtown with 10% returning to Oficina Vallejo and 10% to the Airport. Finally, 10% of Downtown cars will end up at each of the other locations, with 80% staying at the Downtown location. This scenario can also be investigated using a discrete-time population model. Solve a system of three equations in three variables to find all fixed points of this system. (Let x represent the number of cars at the International Airport, let y represent the number of cars at Oficina Vallejo, let z represent the number of cars Downtown, and let Vo represent the number of vehicles in the scenario at the onset of the model. Round your answers to three decimal places.)

Answer 1

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ot each