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Consider the problem of maximizing the profit function (pi)= pY -wL subject to the production function Y= L to the alpha (as the exponent) where alpha E (epsilon) (0,1)

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Consider the problem of maximizing the profit function (pi)= pY -wL subject to the production function Y= L to the alpha (as the exponent) where alpha E (epsilon) (0,1). derive the profit function and confirm that Hotellings Lemma is met. What happens if alpha = 1?