Principles of Economics 2e
2nd Edition
ISBN: 9781947172364
Author: Steven A. Greenlaw; David Shapiro
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7, Problem 12RQ
What is a production function?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Please answer questions D-H, I have already answered A , B,C but it may help you to still solve them yourself. Thank you!
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 7 Solutions
Principles of Economics 2e
Ch. 7 - A firm had sales revenue of 1 million last year....Ch. 7 - Continuing from Exercise 7.1, the films factory...Ch. 7 - The WipeOut Ski Company manufactures skis for...Ch. 7 - Based on your answers to the WipeOut Ski Company...Ch. 7 - If two painters can paint 200 square feet of wall...Ch. 7 - Return to the problem explained in Table 7.13 and...Ch. 7 - Suppose the cost of machines increases to 55,...Ch. 7 - Automobile manufacturing is an industry subject to...Ch. 7 - What are explicit and implicit costs?Ch. 7 - Would you consider an interest payment on a loan...
Ch. 7 - What is die difference between accounting and...Ch. 7 - What is a production function?Ch. 7 - What is the difference between a fixed input and a...Ch. 7 - How do we calculate marginal product?Ch. 7 - What shapes would you generally expect a total...Ch. 7 - What are the factor payments for land, labor, and...Ch. 7 - What is the difference between fixed costs and...Ch. 7 - How do we calculate each of the following:...Ch. 7 - What shapes would you generally expect each of the...Ch. 7 - Are there fixed costs in the lung-run? Explain...Ch. 7 - Are fixed costs also sunk costs? Explain.Ch. 7 - What are diminishing marginal returns as they...Ch. 7 - Which costs are measured on per-unit basis: fixed...Ch. 7 - What is a production technology?Ch. 7 - In choosing a production technology, how will...Ch. 7 - What is a long-run average cost curve?Ch. 7 - What is the difference between economies of scale,...Ch. 7 - What shape of a long-run average cost curve...Ch. 7 - Why will firms in most markets be located at or...Ch. 7 - Small Mom and Pop firms, like inner city grocery...Ch. 7 - A common name for fixed cost is overhead. If you...Ch. 7 - How does fixed cost affect marginal cost? Why is...Ch. 7 - Average cost curves (except for avenge fixed cost)...Ch. 7 - What is the relationship between marginal product...Ch. 7 - It is clear that businesses operate in the short...Ch. 7 - Retune to Table 7.2. In the top half of the table,...Ch. 7 - How would an improvement in technology, like the...Ch. 7 - Do you think that the taxicab industry in large...Ch. 7 - A firm is considering an investment that will earn...Ch. 7 - Return to Figure 7.7. What is the marginal gain in...Ch. 7 - Compute the average total cost, average variable...Ch. 7 - A small company that shovels sidewalks and...
Additional Business Textbook Solutions
Find more solutions based on key concepts
Determine the FW of the following engineering project when the MARR is 15% per year. Is the project acceptable?...
Engineering Economy (17th Edition)
5. Which inventory costing method results in the lowest net income during a period of rising inventory costs?
W...
Horngren's Financial & Managerial Accounting, The Financial Chapters (Book & Access Card)
In the firm the stock is actively traded in the securities markets need not concern in the diversification and ...
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
Define costvolumeprofit analysis.
Horngren's Cost Accounting: A Managerial Emphasis (16th Edition)
The executive vice-president in charge of finance believes the price will not fall in proportion to the size of...
Foundations Of Finance
E2-13 Identifying increases and decreases in accounts and normal balances
Learning Objective 2
Insert the mis...
Horngren's Accounting (12th Edition)
Knowledge Booster
Similar questions
- 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.arrow_forward4. 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_forward
- 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
- 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.arrow_forwardThe 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_forward
- Which 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_forwardWhich of the following factors tend to decrease the wage differential between union and non union workers: unions tend to organize the firms with the lowest ability to pay initially all of the above unions must moderate their wage demand to keep workers competitive some nonunion employers pay their employees above union wages only ‘a’ and ‘b’ abovearrow_forwardThe accompanying graph shows the short-run demand and cost situation for a price searcher in a market with low barriers to entry. Price (dollars) 24 8 MC ATC MR 30 D 45 50 Quantity/time The firm will maximize its profit at a quantity of units. After choosing the profit maximizing quantity, the firm will charge a price of The firm will receive $ in revenue at the profit-maximizing quantity. The total cost of production for this profit-maximizing quantity is S The maximum profit the firm can earn in this situation is $ per unit for this output. How will the situation change over time? Profits will attract rival firms into the market until the profit-maximizing price falls to the level of per-unit cost. ◇ Losses will induce firms to leave this market until the profit maximizing price falls to zero. The market will adjust until the price charged by this firm no longer exceeds marginal cost at the profit-maximizing quantity. This market is already in long-run equilibrium, and will not…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Principles of Economics 2eEconomicsISBN:9781947172364Author:Steven A. Greenlaw; David ShapiroPublisher:OpenStax
Economics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage Learning
Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, Inc
Microeconomics: Principles & PolicyEconomicsISBN:9781337794992Author:William J. Baumol, Alan S. Blinder, John L. SolowPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Principles of Economics 2e
Economics
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:OpenStax
Economics (MindTap Course List)
Economics
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Cengage Learning
Exploring Economics
Economics
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:SAGE Publications, Inc
Microeconomics: Principles & Policy
Economics
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:Cengage Learning