Bundle: Economics for Today, Loose-leaf Version, 10th + MindTap Economics, 2 terms (12 months) Printed Access Card
10th Edition
ISBN: 9781337738736
Author: Tucker, Irvin B.
Publisher: Cengage Learning
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Chapter 7, Problem 18SQ
To determine
The total cost of producing zero pizza.
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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 7 Solutions
Bundle: Economics for Today, Loose-leaf Version, 10th + MindTap Economics, 2 terms (12 months) Printed Access Card
Ch. 7.5 - Prob. 1YTECh. 7 - Prob. 1SQPCh. 7 - Prob. 2SQPCh. 7 - Prob. 3SQPCh. 7 - Prob. 4SQPCh. 7 - Prob. 5SQPCh. 7 - Prob. 6SQPCh. 7 - Prob. 7SQPCh. 7 - Prob. 8SQPCh. 7 - Prob. 9SQP
Ch. 7 - Prob. 10SQPCh. 7 - Prob. 11SQPCh. 7 - Prob. 1SQCh. 7 - Prob. 2SQCh. 7 - Prob. 3SQCh. 7 - Prob. 4SQCh. 7 - Prob. 5SQCh. 7 - Prob. 6SQCh. 7 - Prob. 7SQCh. 7 - Prob. 8SQCh. 7 - Prob. 9SQCh. 7 - Prob. 10SQCh. 7 - Prob. 11SQCh. 7 - Prob. 12SQCh. 7 - Prob. 13SQCh. 7 - Prob. 14SQCh. 7 - Prob. 15SQCh. 7 - Prob. 16SQCh. 7 - Prob. 17SQCh. 7 - Prob. 18SQCh. 7 - Prob. 19SQCh. 7 - Prob. 20SQCh. 7 - Prob. 21SQCh. 7 - Prob. 22SQCh. 7 - Prob. 23SQCh. 7 - Prob. 24SQCh. 7 - Prob. 25SQ
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- 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
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