Microeconomics
13th Edition
ISBN: 9781337617406
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 16, Problem 7QP
To determine
Identify the role of interest rate in a moneyless economy (barter system).
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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 16 Solutions
Microeconomics
Ch. 16.1 - Prob. 1STCh. 16.1 - Prob. 2STCh. 16.1 - Prob. 3STCh. 16.1 - Prob. 4STCh. 16.2 - Prob. 1STCh. 16.2 - Prob. 2STCh. 16.2 - Prob. 3STCh. 16.4 - Prob. 1STCh. 16.4 - Prob. 2STCh. 16.4 - Prob. 3ST
Ch. 16.4 - Prob. 4STCh. 16 - Prob. 1QPCh. 16 - Prob. 2QPCh. 16 - Prob. 3QPCh. 16 - Prob. 4QPCh. 16 - Prob. 5QPCh. 16 - Prob. 6QPCh. 16 - Prob. 7QPCh. 16 - Prob. 8QPCh. 16 - Prob. 9QPCh. 16 - Prob. 10QPCh. 16 - Prob. 11QPCh. 16 - Prob. 12QPCh. 16 - Prob. 13QPCh. 16 - Prob. 14QPCh. 16 - Prob. 15QPCh. 16 - Prob. 16QPCh. 16 - Prob. 17QPCh. 16 - Prob. 1WNGCh. 16 - Prob. 2WNGCh. 16 - Prob. 3WNG
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