Bundle: Essentials Of Economics, 8th + Mindtap Economics, 1 Term (6 Months) Printed Access Card
8th Edition
ISBN: 9781337378833
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 14, Problem 8PA
Subpart (a):
To determine
Profit maximization.
Subpart (b):
To determine
The demand, marginal revenue and marginal cost curves.
Subpart (c):
To determine
Evaluate the shortage.
Subpart (d):
To determine
Evaluate shortage.
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2. A firm’s production function is given by:Q = 10KLThe unit capital and labour costs are 2 and 1 pounds respectively. The firm is contracted to produce2000 units.(a) Write out the optimisation problem of the firm. (b) Express this problem using a Lagrangian function. (c) Find values of K and L which fulfil the contract with minimal cost to the firm. (d) Calculate the total cost to the firm.
3. Consider the following estimated regression equation, estimated using a sample of firms, where RDis total firm spending on research and development in USD ($), Revenue is total firm revenuein USD ($), and W ages is the firms’ total spending on wages in USD ($) (standard errors inparentheses):RDd = 1000(600)+ 0.5(0.1)Revenue + 1.5(0.5)W ages,(a) Interpret the coefficients on each of the explanatory variables. (b) Which of the three coefficients are statistically significant at the 5% level of significance? Howdo you know? A researcher runs a two-sided statistical test of the null hypothesis that both the coefficients onthe explanatory variables above are jointly equal to 0.25 (mathematically, that β1 = β2 = 0.25),and reports a p-value of 0.045.(c) What does this p-value mean for the outcome of the test? (d) What would an appropriate two-sided alternative hypothesis look like?
Chapter 14 Solutions
Bundle: Essentials Of Economics, 8th + Mindtap Economics, 1 Term (6 Months) Printed Access Card
Ch. 14.1 - Prob. 1QQCh. 14.2 - Prob. 2QQCh. 14.3 - Prob. 3QQCh. 14.4 - Prob. 4QQCh. 14.5 - Prob. 5QQCh. 14 - Prob. 1CQQCh. 14 - Prob. 2CQQCh. 14 - Prob. 3CQQCh. 14 - Prob. 4CQQCh. 14 - Prob. 5CQQ
Ch. 14 - Prob. 6CQQCh. 14 - Prob. 1QRCh. 14 - Prob. 2QRCh. 14 - Prob. 3QRCh. 14 - Prob. 4QRCh. 14 - Prob. 5QRCh. 14 - Prob. 6QRCh. 14 - Prob. 7QRCh. 14 - Prob. 8QRCh. 14 - Prob. 1PACh. 14 - Prob. 2PACh. 14 - Prob. 3PACh. 14 - Prob. 4PACh. 14 - Prob. 5PACh. 14 - Prob. 6PACh. 14 - Prob. 7PACh. 14 - Prob. 8PACh. 14 - Prob. 9PACh. 14 - Prob. 10PACh. 14 - Prob. 11PACh. 14 - Prob. 12PA
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- Consider 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_forward3. 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_forward
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