How to solve this ?? Is my method correct (1 Viewer)

bubb

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Many Victorians have been retiring and moving to Queensland, yet only some have come from Queensland to retire in Victoria. The government of Victoria wants to investigate the expected long- term transition using the following information.


• 6000 Victorians moved to Queensland in 2009. • 4 00 Queenslanders moved to Victoria in 2009.
• 73% of Victorians who moved to Queensland stayed. • 2 7% of Victorians who moved to Queensland eventually returned to Victoria.
• 10% of Queenslanders who moved to Victoria stayed. • 9 0% of Queenslanders who moved to Victoria returned to Queensland.
The government wants to budget for its proposed aged care program and needs to find out the long- term impact on numbers the 2009 transition will have. Calculate the net gain or loss of retirees to the state of Victoria.

I think the 6000 and 400 is the initial states.
The rest is the transition matrix.
The answer should be the transition matrix x the initial state. but i think I'm incorrect.
However, the overall answer is Loss of 5229 (6000 − 771) Victorians to
Queensland
.
 

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