Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN: 9781305971509
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 5, Problem 9QR
To determine
Price elasticity of demand and its effect.
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Chapter 5 Solutions
Principles of Macroeconomics (MindTap Course List)
Ch. 5.1 - Define the price elasticity of demand. Explain the...Ch. 5.2 - Define the price elasticity of supply. Explain...Ch. 5.3 - Prob. 3QQCh. 5 - A life-saving medicine without any close...Ch. 5 - The price of a good rises from 8 to 12, and the...Ch. 5 - A linear, downward-sloping demand curve is a....Ch. 5 - Prob. 4CQQCh. 5 - An increase in the supply of a good will decrease...Ch. 5 - Over time, technological advance increases...Ch. 5 - Prob. 1QR
Ch. 5 - List and explain the four determinants of the...Ch. 5 - Prob. 3QRCh. 5 - Prob. 4QRCh. 5 - If demand is elastic, how will an increase in...Ch. 5 - What do we call a good with an income elasticity...Ch. 5 - How is the price elasticity of supply calculated?...Ch. 5 - If a fixed quantity of a good is available, and no...Ch. 5 - Prob. 9QRCh. 5 - Prob. 1PACh. 5 - Prob. 2PACh. 5 - Suppose the price elasticity of demand for heating...Ch. 5 - A price change causes the quantity demanded of a...Ch. 5 - Prob. 5PACh. 5 - The price of coffee rose sharply last month, while...Ch. 5 - Suppose that your demand schedule for pizza is as...Ch. 5 - The New York Times reported (Feb. 17, 1996) that...Ch. 5 - Prob. 9PACh. 5 - Prob. 10PACh. 5 - You are the curator of a museum. The museum is...Ch. 5 - Prob. 12PA
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- 4. Examine the regression table below before answering the questions that follow.Throughout, the Log() function represents the natural logarithm, so that Log(e) =1:Dependent Variable: Log(Expenditures on Cigarettes + 1)Method: Least SquaresVariable Coefficient Std. ErrorConstant 0.50 0.41Log(Income+1) −0.02 0.002(a) Why are the dependent and explanatory variables in the form log(1+x), ratherthan log(x)? (b) Which of the above coefficients are statistically significant? How do you know?(c) Interpret the coefficient on Log(Income+1). (d) What is the predicted level of Log(Expenditures on Cigarettes + 1) for anobserved individual with income of e10 − 1? (4arrow_forward3. Consider the following three (fictional) data points:Country Ultima Thule Narnia NeverlandGDP per capita (US $, 2021, in thousands) 10 30 20Deaths from COVID-19 as of Jan. 2023, millions 0.24 0.16 0.05(a) What is the slope of the line of best fit through these three points, whereDeaths from COVID-19 is the dependent variable and GDP per capita is theexplanatory variable? (b) The standard error for the slope parameter is 0.009. What does this standarderror measure? (c) Is the slope parameter statistically significant at the 5% level of significance?(The relevant critical value is not the usual value, but 4.303, due to the tinysample size). Explain what this means. (d) Why might this slope parameter be a misleading indicator of the relationshipbetween these two variables?arrow_forwardConsider the following estimated regression equation, where both Rent and Earnings aremeasured in pounds (£) at the individual level (standard errors in parentheses):log(\Rent) = 6.9(0.69)+ 0.9(0.3)log(Earnings),(a) Interpret the coefficient on log(Earnings). (b) If we divided Earnings by 1000, so that it is measured in 1000s of pounds instead of pounds,how would (i) the slope, (ii) the intercept change in the above equation? Now suppose the variable London is added, which is equal to one if an individual iives inLondon, and zero otherwise. The estimated regression equation changes to:log(\Rent) = 6.22(0.622)+ 0.5(0.05)log(Earnings) + 2(0.5)London,(c) Interpret the coefficient on London. (d) Explain why the coefficient on log(Earnings) when London is included in the regression andthe coefficient on log(Earnings) when London is not included in the regression are not thesame.arrow_forward
- 3. Consider the following regression equation, where Cigs is daily spending on cigarettes in poundssterling (£), Y earsEduc is years of education, and F emale equals one if an individual is femaleand zero otherwise (standard errors in parentheses):Cigs [ = 4(1.6)− 0.08(0.032)Y earsEduc − 0.5(0.2)F emale,(a) Interpret the coefficients on Y earsEduc and F emale. (b) What does the model predict the average daily spending on cigarettes would be for womenwith 12 years of education? (c) Form the 95% confidence interval for the coefficient on F emale. (d) Economists are often interested in estimating production functions of the Cobb-Douglas form(Yiis the ith firm’s output, Liits spending on labour, and Kiits spending on capital):Yi = ALαi Kβi,How might someone estimate α and β from this equation using linear regression?arrow_forward2. 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 ?arrow_forward2. 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.arrow_forward
- 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 pricesarrow_forward1. 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.arrow_forwardWhich of the following graphs best represents the production possibility frontier of Country Y (Line Y), the production possibility frontier of Country Z (Line Z), and the production possibility frontier of this whole economy (Line W)? (Hint: Find W by adding the productive capabilities of Country Y and Z) Group of answer choicesarrow_forward
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