Consider a price-taking firm whose production function is given by q=3 L1/5 K1/9 where L and K denote respectively the amount of labour and capital the firm uses to produce q units of output. Suppose the price of labour is w = 16, the price of capital is 24 and the price of the firm's output is p=225. Derive the firm's conditional demand for capital. Then enter below the amount of capital the firm would use to produc 100 units of output at minimum cost.
Consider a price-taking firm whose production function is given by q=3 L1/5 K1/9 where L and K denote respectively the amount of labour and capital the firm uses to produce q units of output. Suppose the price of labour is w = 16, the price of capital is 24 and the price of the firm's output is p=225. Derive the firm's conditional demand for capital. Then enter below the amount of capital the firm would use to produc 100 units of output at minimum cost.
Chapter1: Making Economics Decisions
Section: Chapter Questions
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![Consider a price-taking firm whose production function is given by
q=3L1/5 K1/9
where L and K denote respectively the amount of labour and capital the firm uses to produce q units of output.
Suppose the price of labour is w = 16, the price of capital is 24 and the price of the firm's output is p=225 .
Derive the firm's conditional demand for capital. Then enter below the amount of capital the firm would use to produce
100 units of output at minimum cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04536e59-763c-440c-af8f-4a3fc9711a35%2Fff43b492-7eb2-4663-93d1-86d61d4a1a12%2Fqakofve_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a price-taking firm whose production function is given by
q=3L1/5 K1/9
where L and K denote respectively the amount of labour and capital the firm uses to produce q units of output.
Suppose the price of labour is w = 16, the price of capital is 24 and the price of the firm's output is p=225 .
Derive the firm's conditional demand for capital. Then enter below the amount of capital the firm would use to produce
100 units of output at minimum cost.
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