4. The equilibrium levels of income Y, consumption C, disposable income Ya, and taxation T, for a three-sector macroeconomic model satisfy the structural equations: Y = C + I, + Go С — а + bYa (0 0) Ya = Y – T T = tY + T, (0 < t < 1, T, > 0) i. Express this system in the form AX = d ii. Using Cramer's rule, find the equilibrium levels of consumption (C*), disposable income (Ya*) and taxation (T*)

ENGR.ECONOMIC ANALYSIS
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4. The equilibrium levels of income Y,
consumption C, disposable income Ya,
and taxation T, for a three-sector
macroeconomic model satisfy the
structural equations:
Y = C + I, + Go
C = a + bYa (0 <b< 1,
a > 0)
Ya = Y – T
T = tY + T, (0 < t < 1, T, > 0)
i. Express this system in the form AX =
d
ii. Using Cramer's rule, find the
equilibrium levels of consumption
(C*), disposable income (Ya*) and
taxation (T*)
Transcribed Image Text:4. The equilibrium levels of income Y, consumption C, disposable income Ya, and taxation T, for a three-sector macroeconomic model satisfy the structural equations: Y = C + I, + Go C = a + bYa (0 <b< 1, a > 0) Ya = Y – T T = tY + T, (0 < t < 1, T, > 0) i. Express this system in the form AX = d ii. Using Cramer's rule, find the equilibrium levels of consumption (C*), disposable income (Ya*) and taxation (T*)
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