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a)Government budget constraint equation:T+\frac{T^{2}}{1+\mu}=0Thus, the government budget constraint equation:\text { Total population } x(b+(1-b) a)\left[t+\frac{t^{1}}{1+r}\right]=0Here, M is the deposit rate.(b)If the government decreases a lump-sum tax of t, it will effect on the consumer's income. A decrease in tas will income increase the current consumption level.(c)RICARDO EQUIVALENCEIn Ricardo Equivalence model, consumers save money for the coming increased taxes. In this theory, debt-financed tax cut will not affect output.These, here Ricardo Equivalence will not hold in the economy. ...