3. Consider an economy divided into agricultural sector, A, and service sector, S. To produce one unit in sector A 1 requires 1/6 units from A and ¼ units from S. To produce a unit of S requires 1 4...


3. Consider an economy divided into<br>agricultural sector, A, and service sector,<br>S. To produce one unit in sector A<br>1<br>requires 1/6 units from A and ¼ units<br>from S. To produce a unit of S requires<br>1<br>4 units from A and /4 units from S.<br>4<br>Suppose final demands in each of the<br>two sectors are 50 units. Let x and y<br>denote total production in industries A<br>and S respectively. What is the Leontief<br>system for this economy?<br>

Extracted text: 3. Consider an economy divided into agricultural sector, A, and service sector, S. To produce one unit in sector A 1 requires 1/6 units from A and ¼ units from S. To produce a unit of S requires 1 4 units from A and /4 units from S. 4 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,<br>consumption C, disposable income Ya,<br>and taxation T, for a three-sector<br>macroeconomic model satisfy the<br>structural equations:<br>Y = C + I, + Go<br>C = a + bYa (0 <b< 1,<br>a > 0)<br>Ya = Y – T<br>T = tY + T, (0 < t < 1, T, > 0)<br>i. Express this system in the form AX =<br>d<br>ii. Using Cramer's rule, find the<br>equilibrium levels of consumption<br>(C*), disposable income (Ya*) and<br>taxation (T*)<br>

Extracted 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 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*)

Jun 05, 2022
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