Question 12. A firm's long-run production function is given by q = LK, where L denotes units of labour and K denotes units of capital. Each unit of labour L must be paid w > 0 and each unit of capital K incurs a cost of r > 0. Explain the cost minimisation problem. Explain the expansion path and derive the firm's long-run total cost function.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
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Question 12. A firm's long-run production function is given by q = LK, where L denotes
units of labour and K denotes units of capital. Each unit of labour L must be paid w > 0
and each unit of capital K incurs a cost of r > 0. Explain the cost minimisation problem.
Explain the expansion path and derive the firm's long-run total cost function.
Transcribed Image Text:Question 12. A firm's long-run production function is given by q = LK, where L denotes units of labour and K denotes units of capital. Each unit of labour L must be paid w > 0 and each unit of capital K incurs a cost of r > 0. Explain the cost minimisation problem. Explain the expansion path and derive the firm's long-run total cost function.
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