Given the prices of labour and capital inputs, the cost minimizing combination of inputs suggests that the firm should use labour and capital such that L = 5K.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.9P
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Please answer fast and Arjent please

Consider a firm that uses a production function of the form Q = L*K where L denotes
the amount of labour input and K the amount of capital input. The cost of labour is
$20 per unit while the cost of capital is $100 per unit. The firm is interested in
producing its output in a way that minimizes the cost of production. Which of the
following statements is CORRECT?
Given the prices of labour and capital inputs, the cost minimizing combination of inputs
suggests that the firm should use labour and capital such that 5L = K.
Given the prices of labour and capital inputs, the cost minimizing combination of inputs
suggests that the firm should use labour and capital such that L = 5K.
Given the prices of labour and capital inputs, the cost minimizing combination of inputs
suggests that the firm should use labour and capital such that L = K.
O
Given the prices of labour and capital inputs, the cost minimizing combination of inputs
suggests that the firm should use labour and capital such that L = 2K.
Which is the correct answer option?
Transcribed Image Text:Consider a firm that uses a production function of the form Q = L*K where L denotes the amount of labour input and K the amount of capital input. The cost of labour is $20 per unit while the cost of capital is $100 per unit. The firm is interested in producing its output in a way that minimizes the cost of production. Which of the following statements is CORRECT? Given the prices of labour and capital inputs, the cost minimizing combination of inputs suggests that the firm should use labour and capital such that 5L = K. Given the prices of labour and capital inputs, the cost minimizing combination of inputs suggests that the firm should use labour and capital such that L = 5K. Given the prices of labour and capital inputs, the cost minimizing combination of inputs suggests that the firm should use labour and capital such that L = K. O Given the prices of labour and capital inputs, the cost minimizing combination of inputs suggests that the firm should use labour and capital such that L = 2K. Which is the correct answer option?
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