Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3 Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30 a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticities

Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3 Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30 a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticities

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 8E

See similar textbooks

Similar questions

Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticities .b. Suppose that labour input (worker hours) is increased by 2 percent next year (with the other inputs held constant), determine the approximate percentage change in output. c. Suppose that capital input (number of buses) is decreased by 3 percent next year (which, certain older buses are taken out of service). Assuming that the other inputs are held constant, determine the approximate percentage change in output. d. What type of returns to scale appears…
Consider the following Cobb-Douglas production function for the bus transportation system in a particular city: Q=aL B₁F B₂K B3 where L = labor input in worker hours, F = fuel input in gallons, K = capital input in number of buses, and Q = output measured in millions of bus miles. Suppose that the parameters (α, B₁, B₂, and ß3) of this model were estimated using annual data for the past 25 years. The following results were obtained: a = 0.0012; B₁ = 0.45; ß₂ = 0.20; and B3 = 0.30. Determine the labor, fuel, and capital input production elasticities. Input Production Elasticities Labor Fuel Capital Suppose that labor input (worker hours) is increased by 2% next year (with the other inputs held constant). What is the approximate percentage change in output? % Suppose that capital input (number of buses) is decreased by 1% next year (when certain older buses are taken out of service). Assuming that the other inputs are held constant, what is the approximate percentage change in output? %…
Consider the following Cobb-Douglas production function for the bus transportation system in a particular city: Q=aL B₁F B₂K B₂ where L = labor input in worker hours, F = fuel input in gallons, K = capital input in number of buses, and Q = output measured in millions of bus miles. Suppose that the parameters (a, B₁, B2, and B3) of this model were estimated using annual data for the past 25 years. The following results were obtained: a = 0.0012; B₁ = 0.45; B₂ = 0.20; and B3 = 0.30. Determine the labor, fuel, and capital input production elasticities. Input Production Elasticities Labor Fuel Capital Suppose that labor input (worker hours) is increased by 1% next year (with the other inputs held constant). What is the approximate percentage change in output? Suppose that capital input (number of buses) is decreased by 3% next year (when certain older buses are taken out of service). Assuming that the other inputs are held constant, what is the approximate percentage change in output? %…
Consider the following Cobb-Douglas production function for the bus transportation system in a particular city: Q=aL B₁F B₂K B3 where L labor input in worker hours, F = fuel input in gallons, K = capital input in number of buses, and Q = output measured in millions of bus miles. Suppose that the parameters (α, B₁, B₂, and ß3) of this model were estimated using annual data for the past 25 years. The following results were obtained: α= 0.0012; B₁ = 0.45; ß₂ = 0.20; and ß3 = 0.30. Determine the labor, fuel, and capital input production elasticities. Input Production Elasticities Labor Fuel Capital Suppose that labor input (worker hours) is increased by 1% next year (with the other inputs held constant). What is the approximate percentage change in output? % Suppose that capital input (number of buses) is decreased by 3% next year (when certain older buses are taken out of service). Assuming that the other inputs are held constant, what is the approximate percentage change in output? %…
1) Production function for agricultural sector of a country is specified as the following, log Y=B1 + B2 log K+ ß3 log L+u. where Y represents wheat output, K capital stock and L employment (labor). The model is estimated using annual data over 1980-2020 (n=41) periods. The results are reported below. p-values are given in squared parentheses. loĝ Y = 4.17 +0.67 log K+ 0.35 log L p-value [0.015] [0.18] R² = 0.81 1.a) Test if each slope coefficient is significant individually (one by one) using the p-values in parentheses and interpret the results. (
In the log-log transformation lecture, we analyzed the price of pet food can. The final model was Ln of Sales Volume = 11.05 -2.44 Ln price (where Ln is the natural log) What would the optimal price that maximizes the estimated profit, when the cost is 0.61? (Round up to 2 decimal places)
Suppose you are given a set of data for output at a company which manufactures detergents over a period of time. You have determined a relation between total operating cost and the quantity produced and is given by the linear regression model as follows: TC=20,000+2,500Q, where TC=Total Operating Cost (in K) per annum and Q = Quantity produced per annum Required: Determine the total operating cost in the event that quantity of production is at 4,500, 12,500 and 7,000units. What do you think would be your reservations in relaying on the linear regression model for budgetary planning purposes?
Identify the estimated simple linear regression equation. Answer O y = Bo+B1x1 + ẞ2x2 + € Oy Bo+B1x + € Oy bob₁x + ε ○ ŷ = bo+b₁x
A linear regression model for the revenue data for a company is R=27.1t+203 where R is total annual revenue and t is time since 1/31/02 in years. 12 months 12 months 12 months Billions of Dollars Revenue Gross Profit 12 months 12 months ending 1/31/02ending 1/31/03ending 1/31/04 ending 1/31/05 ending 1/31/06 500- 201 49 236 54 255 60 500- 277 65 (A) Draw a scatter plot of the data and a graph of the model on the same axes. OA. B. O.C. KICB Q 2 316 72 500- oo D. 500- Q G
Using the annual data for the period of 2000 and 2010, Prof Omanya applied a Cobb -Douglas production function to estimate the production for the Kenya's manufacturing sector using firms listed on Nairobi Securities Exchange. His results were given as: Q= K0.45 L0.55 Where Q = units of output; L = units of Labor; and K = units of capital What are the marginal products of Labor and Capital? Calculate the factor intensity and explain the technique of production that is being used by Prof Omanya How would you characterize the Kenya's manufacturing sector in terms of returns to scale? What are the main three causes of such returns to scale? Explain three significance of returns to scale in Managerial decision making
Using the annual data for the period of 2000 and 2010, Prof Omanya applied a Cobb -Douglas production function to estimate the production for the Kenya's manufacturing sector using firms listed on Nairobi Securities Exchange. His results were given as: Q= K0.45 L0.55 Where Q = units of output; L = units of Labor; and K = units of capital What are the marginal products of Labor and Capital? Calculate the factor intensity and explain the technique of production that is being used by Prof Omanya How would you characterize the Kenya's manufacturing sector in terms of returns to scale? What are the main three causes of such returns to scale?
Determine the mode choice (personal vehicle or bus system) for the following regression model: Utility Function: Umode – (8.333 x 10-4)*(Access time in sec) – (6.667 x 10-4)*(Wait Time in sec) – (5.00 x 10-4)*(Riding time in sec) – (1.40)*(Cost, $) PARAMETER PERSONAL VEHICLE CITY BUS SYSTEM MODE CONSTANT -0.01 -0.07 ACCESS TIME (SECS) 300 600 WAITING TIME (SECS) 0 900 RIDING TIME (SECS) 1,500 6,000 COST (DOLLARS) $1.50 $1.00