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Elasticities of Demand and output

The following Cobb-Douglas production function is used to describe the output generated by a local government maintenance agency.
Q = ?L?1K?2E?3
Where L represents number of worker hours, K represents number of trucks used, and E represents energy used. Statistical estimated generated the following values for ?, ?1, ?2, and ?3.
? = 0.01; ?1 = 0.5, ?2 = 0.4, and ?3 = 0.2

a. What are the production elasticities of demand for labor, capital (trucks) and energy?

b. If worker hours (labor) are increased by 10% next year, how much will output (Q) increase?

c. If the number of trucks (K) decreases by 10% next year, how much will output (Q) decrease?

d. What type of returns to scale is consistent with the above production function?

 

Business Economics, Economics

  • Category:- Business Economics
  • Reference No.:- M925433

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