1. Given the following supply and demand model:
QD = a − bP + eY0 Demand
QS = −c + dP + fPr Supply
QD = QS Equilibrium
where: a, b, c, d, e > 0, Y0 is exogenous income, Pr is the exogenous price of a related good.
a) What are the necessary conditions for positive equilibrium prices and quantities?
b) What is the economic interpretation of the parameter "f"?
c) What will be effect (increase or decrease) of an increase in exogenous income on P*, the equilibrium price?
2) Given the following macroeconomic model.
Y = C + I0 + G0 Equilibrium Income (Y)
C = a + b(Y − T) Consumption with Taxes (T), where: a > 0, 0 < b < 1
T = d + tY Tax function, where: d > 0, 0 < t < 1
Note: I0 = exogenous income, G0 = exogenous govt. spending
Discuss the effect (increase or decrease of an increase in the tax rate, t, on the equilibrium income Y. using the effect of increasing t on the equilibrium solution.