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Show that for a production function with = , the cost-minimizing input ratio, if it is unique, will generally require the use of only capital

Show that for a production function with = , the cost-minimizing input ratio, if it is unique, will generally require the use of only capital or only labor. In such a situation, what will be the firm's expansion path? On what will the shape of its marginal and average cost cures depend? How will these cost curves shift as the price of the input that is utilized rises

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