Economics: Principles and Policy (MindTap Course List)
13th Edition
ISBN: 9781305280595
Author: William J. Baumol, Alan S. Blinder
Publisher: Cengage Learning
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Chapter 22, Problem 1DQ
To determine
Examples for the use of aggregates in daily discussions.
Expert Solution & Answer
Explanation of Solution
The aggregate terms are included in everyday discussions. For example, ‘the country is turning conservative’, football players are faster these days, and the students at this college think the classes should be smaller, and so on. When a person makes a statement that one usually has in mind on an average or a typical member of the larger group, one would not mean that every member of the group fits the statement.
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2. The demand and supply functions for two interdependent goods X and Y are givenbyQDX = 7 − 4PX + 2PYQSX = −6 + 4PX − PYQDY = 1 + PX − PYQSY = −4 − PX + 2PY(a) Find the market equilibrium condition for each good. (b) Express the equilibrium conditions in the matrix form Ax = b.(c) Find the inverse of matrix A. (d) Given your result in part (c), calculate the equilibrium prices. (e) What is the equilibrium quantity for goods X and Y ?
2. A two-sector macro-economic model satisfies the following structural equations:Y = C + I∗C = aY + bwhere 0 < a < 1 and b > 0 are parameters and I∗ denotes investment.(a) What are the exogenous and endogenous variables in this model? (b) Re-arrange this system of equations to express the endogenous variables in terms of the exogenous variables and parameters. (c) Express this system of equations in the matrix form Ax = b. (d) Show that the inverse of matrix A exists.
The equilibrium prices P1 and P2 for two goods satisfy the equations:−4P1 + P2 = −132P1 − 5P2 = −7(a) Express this system of equations in the matrix form Ax = b. (b) What is the determinant of matrix A? (c) Find the inverse of matrix A. (d) Using matrix algebra, calculate the equilibrium prices
Chapter 22 Solutions
Economics: Principles and Policy (MindTap Course List)
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