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 (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 33 = 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? % returns to scale appear to characterize this bus transportation system. (Hint: Ignore the issue of statistical significance.)

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 (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 33 = 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? % returns to scale appear to characterize this bus transportation system. (Hint: Ignore the issue of statistical significance.)

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

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?
%
returns to scale appear to characterize this bus transportation system. (Hint: Ignore the issue of statistical significance.)

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