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3. The following equations represent the aggregate behavior of aggregate demand in economy X:
C=1000+0.8  
I=200 
G=1000
 
In addition, there is a flat tax rate of 15% over all income earned by households.
a) Determine the equilibrium output in this economy and represent the equilibrium on a graph.
b) Determine the budget deficit (or surplus) when the economy is in equilibrium.
c) Suppose that the government wants to balance its budget (that is, attain a deficit equal to zero, such that G=tY. Two alternative (and mutually exclusive) policies are considered: change government spending or change the flat tax rate.
i) Determine the new level of government spending that balances the budget under the first policy.
ii) Determine the new flat tax rate that balances the budget under the second policy.
iii) All else constant, what would be the best policy for the economy? Is there any simplification in the model presented in this question that might affect this conclusion? Explain.

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