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To Keep Track of the Location of Its Cabs, Zephyr

question 27

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To keep track of the location of its cabs, Zephyr Cab has divided a town into three zones: zone I, zone II, and zone III. Zephyr's management has determined from company records that of the passengers picked up in zone I, 40% are discharged in the same zone, 50% are discharged in zone II, and 10% are discharged in zone III. Of those picked up in zone II, 10% are discharged in zone I, 70% are discharged in zone II, and 20% are discharged in zone III. Of those picked up in zone III, 10% are discharged in zone I, 10% are discharged in zone II, and 80% are discharged in zone III. If the initial distribution vector for the location of the taxis is
To keep track of the location of its cabs, Zephyr Cab has divided a town into three zones: zone I, zone II, and zone III. Zephyr's management has determined from company records that of the passengers picked up in zone I, 40% are discharged in the same zone, 50% are discharged in zone II, and 10% are discharged in zone III. Of those picked up in zone II, 10% are discharged in zone I, 70% are discharged in zone II, and 20% are discharged in zone III. Of those picked up in zone III, 10% are discharged in zone I, 10% are discharged in zone II, and 80% are discharged in zone III. If the initial distribution vector for the location of the taxis is ​   ​ what will be the distribution after all of them have made one pickup and discharge? ​ __________ % ​ __________ % ​ __________ %
what will be the distribution after all of them have made one pickup and discharge?

__________ %

__________ %

__________ %


Definitions:

Autonomous Consumption

The level of consumption that occurs when income is zero, representing the expenditures needed to meet basic needs.

Disposable Income

The available sum for households to allocate on spending and saving post the deduction of income taxes.

Consumption

The use of goods and services by households, including both durable and non-durable goods.

Disposable Income

Fiscal resources for households' utilization in spending and saving post income tax processing.

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