Given the following aggregate production function: Y = K0.25 (AL) 0.75, where technology A grows at a fixed rate:= g >0 (a) Obtain the marginal product of capital algebraically, also discussing the second derivative. (b) Transform the production function into efficiency-worker terms, showing howỹ depends AL on = K. K AL (c) Working with the Solow model, where capital evolution follows = I - SK, investment is a fixed proportion of income I = SY, production is given by the Cobb Douglas function above, and the workforce grows at a positive rate, algebraically derive the fundamental Solow

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