Economics (7th Edition) (What's New in Economics)
7th Edition
ISBN: 9780134738321
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
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Chapter 1, Problem 1.3.7PA
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Normative analysis.
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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?
4. Consider the following regression equation, where Google is equal to 1 if an individual in thesample has worked at Google and 0 otherwise, and Earnings is annual earnings in thousands ofpounds (standard errors in parentheses):Earnings \ = 25000(12.5)+ 42000(7.0)Google,(a) Interpret the coefficient on Google.(b) Is the coefficient on Google statistically significant at the 5% level? How do you know?(c) Suppose that instead of Google we had used a variable called NeverGoogle, equal to 1 if anindividual has never worked at Google and 0 otherwise. (i) How would the slope coefficientchange? (ii) What would happen to the intercept? (d) What prevents us from interpreting the coefficient on Google as a causal effect? Give examplesin your answer.
Chapter 1 Solutions
Economics (7th Edition) (What's New in Economics)
Ch. 1.A - Prob. 1PACh. 1.A - Prob. 2PACh. 1.A - Prob. 3PACh. 1.A - Prob. 4PACh. 1.A - Prob. 5PACh. 1.A - What is the area of the triangle shown in the...Ch. 1.A - Prob. 7PACh. 1 - Prob. 1TCCh. 1 - Prob. 2TCCh. 1 - Prob. 1.1.1RQ
Ch. 1 - Prob. 1.1.2RQCh. 1 - Prob. 1.1.3PACh. 1 - Prob. 1.1.4PACh. 1 - Prob. 1.1.5PACh. 1 - Prob. 1.1.6PACh. 1 - Prob. 1.1.7PACh. 1 - Prob. 1.1.8PACh. 1 - Prob. 1.1.9PACh. 1 - Prob. 1.1.10PACh. 1 - Prob. 1.1.11PACh. 1 - Prob. 1.2.1RQCh. 1 - Prob. 1.2.2RQCh. 1 - Prob. 1.2.3RQCh. 1 - Prob. 1.2.4RQCh. 1 - Prob. 1.2.5PACh. 1 - Prob. 1.2.6PACh. 1 - Prob. 1.2.7PACh. 1 - Prob. 1.2.8PACh. 1 - Prob. 1.2.9PACh. 1 - Prob. 1.2.10PACh. 1 - Prob. 1.2.11PACh. 1 - Prob. 1.2.12PACh. 1 - Prob. 1.2.13PACh. 1 - Prob. 1.3.1RQCh. 1 - Prob. 1.3.2RQCh. 1 - Prob. 1.3.3RQCh. 1 - Prob. 1.3.4PACh. 1 - Prob. 1.3.5PACh. 1 - Prob. 1.3.6PACh. 1 - Prob. 1.3.7PACh. 1 - Prob. 1.3.8PACh. 1 - Prob. 1.3.9PACh. 1 - Prob. 1.3.10PACh. 1 - Prob. 1.3.11PACh. 1 - Prob. 1.4.1RQCh. 1 - Prob. 1.4.2RQCh. 1 - Prob. 1.4.3PACh. 1 - Prob. 1.4.4PACh. 1 - Prob. 1.1CTECh. 1 - Prob. 1.2CTE
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