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Assume a Cobb-Douglas production function with constant returns to scale. Suppose the size of the capital stock doubled. Then we would expect that:Group of answer choicesoutput would increase, but it would less than doubleon a graph having the capital-labour ratio on the horizontal axis and output per worker on the vertical axis, the production function would shift upoutput would doubleoutput would increase, but it would more than double

Question

Assume a Cobb-Douglas production function with constant returns to scale. Suppose the size of the capital stock doubled. Then we would expect that:Group of answer choicesoutput would increase, but it would less than doubleon a graph having the capital-labour ratio on the horizontal axis and output per worker on the vertical axis, the production function would shift upoutput would doubleoutput would increase, but it would more than double

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Solution

The Cobb-Douglas production function is a particular form of the production function, widely used to represent the technological relationship between the amounts of two or more inputs (particularly physical capital and labor) and the amount of output that can be produced by those inputs. The Cobb-Douglas production function has constant returns to scale, meaning that doubling all inputs will lead to a doubling of output.

So, if the size of the capital stock doubled, we would expect that the output would also double. This is because of the property of constant returns to scale in the Cobb-Douglas production function. Therefore, the correct answer is "output would double".

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