Question: Answer this question please Problem 2. In Detroit, Hertz Rent-ACar has a eet of 2000 cars. The pattern of rental and return locations is given
Answer this question please

Problem 2. In Detroit, Hertz Rent-ACar has a eet of 2000 cars. The pattern of rental and return locations is given by the fractions in the table below. Cars Rented From: City D-town Metro Returned to: .90 .01 .09 City Airport .01 .90 .01 Downtown .09 .09 .90 Metro Airport 3.. Use the method of Example 5 to nd the steady-state vector. b. Make up an initial state and compute a large power (again try k = 40, 80, 120) of the stochastic matrix times the initial state vector. c. Do the same as the part above, but make up a totally different initial state, and verify that both result in getting an answer close to the steady-state vector. (1. On a typical day (long after Hertz came to Detroit), about how many cars will be at each location
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