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Mathematical Influence Models
A simplified model of the national economy can be described
as follows. The national income is the sum of consumption, investment, and
government spending. Consumption is related to the total income of all
individuals and the taxes they pay on income. Taxes are related to income by
the tax rate. Investment is also related to the size of income.

– Draw in influence diagram recognizing that the phrase
“A is related to B” implies that A influences B in the Model

– Assuming that “A is related to B” can be
translated into mathematical terms as A= kB, where is k is some constant. Come
up with a mathematical model for the information provided.

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