Economics For Today
10th Edition
ISBN: 9781337670654
Author: Tucker
Publisher: Cengage
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Chapter 1.6, Problem 2.3YTE
To determine
Positive and normative decisions.
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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
1. An individual’s utility function is given as, where x1 and x2 denote the number of units consumedof goods 1 and 2 respectively:U = x121 x132,(a) Express the marginal utilities of x1 and x2. (b) Show that the marginal utility of x1 is positive and interpret this result. (c) Find the value of the marginal utilities when x1=16 and x2=8. (d) Find the marginal rate of commodity substitution at this point. (e) Estimate the change in utility when x1 and x2 both increase by 1 unit.
Chapter 1 Solutions
Economics For Today
Ch. 1.6 - Prob. 1.1YTECh. 1.6 - Prob. 2.1YTECh. 1.6 - Prob. 2.2YTECh. 1.6 - Prob. 2.3YTECh. 1.A - Prob. 1SQPCh. 1.A - Prob. 2SQPCh. 1.A - Prob. 1SQCh. 1.A - Prob. 2SQCh. 1.A - According to Exhibit A-5, what is the relationship...Ch. 1.A - Prob. 4SQ
Ch. 1.A - Prob. 5SQCh. 1.A - Prob. 6SQCh. 1.A - Prob. 7SQCh. 1.A - Straight line AB in Exhibit A-6 shows that a....Ch. 1.A - Prob. 9SQCh. 1.A - Prob. 10SQCh. 1.A - Prob. 11SQCh. 1.A - Prob. 12SQCh. 1.A - Prob. 13SQCh. 1.A - Straight line AB in Exhibit A-7 shows that a....Ch. 1.A - Prob. 15SQCh. 1.A - Prob. 16SQCh. 1.A - Prob. 17SQCh. 1.A - Prob. 18SQCh. 1.A - Prob. 19SQCh. 1.A - Prob. 20SQCh. 1 - Prob. 1SQPCh. 1 - Prob. 2SQPCh. 1 - Prob. 3SQPCh. 1 - Prob. 4SQPCh. 1 - Prob. 5SQPCh. 1 - Prob. 6SQPCh. 1 - Prob. 7SQPCh. 1 - Prob. 8SQPCh. 1 - Which of the following illustrates the concept of...Ch. 1 - Prob. 2SQCh. 1 - Prob. 3SQCh. 1 - Prob. 4SQCh. 1 - Prob. 5SQCh. 1 - Prob. 6SQCh. 1 - Prob. 7SQCh. 1 - Prob. 8SQCh. 1 - Prob. 9SQCh. 1 - Prob. 10SQCh. 1 - Prob. 11SQCh. 1 - Prob. 12SQCh. 1 - Prob. 13SQCh. 1 - Prob. 14SQCh. 1 - Prob. 15SQCh. 1 - Prob. 16SQCh. 1 - Prob. 17SQCh. 1 - Prob. 18SQCh. 1 - Prob. 19SQCh. 1 - Prob. 20SQ
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