Consider an economy divided into agricultural sector, A, and service sector, S. To produce one unit in sector A requires 1/6 units from A and 1/4 units from S. To produce a unit of S requires 14 units from A and 1/4 units from S. Suppose final demands in each of the two sectors are 50 units. Let x and y denote total production in industries A and S respectively. What is the Leontief system for this economy?

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3. Consider an economy divided into agricultural sector, A, and service sector, S. To produce
one unit in sector A requires 1/6 units from A and ¼ units from S. To produce a unit of
S requires 1/4 units from A and 1/4 units from S. Suppose final demands in each of the
two sectors are 50 units. Let x and y denote total production in industries A and S
respectively. What is the Leontief system for this economy?
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 + 1, + Go
C = a + bYa (0 < b < 1,
Ya = Y – T
T = tY +T, (0 <t< 1,T, > 0)
a > 0)
Express this system in the form AX = d
Using Cramer's rule, find the equilibrium levels of consumption (C*), disposable
income (Ya*) and taxation (T*)
i.
ii.
Transcribed Image Text:3. Consider an economy divided into agricultural sector, A, and service sector, S. To produce one unit in sector A requires 1/6 units from A and ¼ units from S. To produce a unit of S requires 1/4 units from A and 1/4 units from S. Suppose final demands in each of the two sectors are 50 units. Let x and y denote total production in industries A and S respectively. What is the Leontief system for this economy? 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 + 1, + Go C = a + bYa (0 < b < 1, Ya = Y – T T = tY +T, (0 <t< 1,T, > 0) a > 0) Express this system in the form AX = d Using Cramer's rule, find the equilibrium levels of consumption (C*), disposable income (Ya*) and taxation (T*) i. ii.
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