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Question 1(15 Marks): A firm produces one good with a technology given by the production function y = f (x) = x1/3. The factor price

Question 1(15 Marks): A firm produces one good with a technology given by the production function y = f (x) = x1/3. The factor price w and the price p for the good are fixed.

a) Explore whether the production function exhibits increasing returns to scale. ( 3 Marks)

b) Determine the cost function(4 Marks)

c) Determine the demand function for the input factor.(5 Marks)

d) How much will the firm produce? (3 Marks)

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