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A firm has a Cobb-Douglas production as follows: F(L,K)=(LK)^1/3 ** Part a (5 marks) Show that the production function is exhibiting diminishing marginal product of

A firm has a Cobb-Douglas production as follows:

F(L,K)=(LK)^1/3

** Part a (5 marks)

Show that the production function is exhibiting diminishing marginal product of Labor.

** Part b (5 marks)

Suppose that KK is fixed at K=1. Suppose that p=1,w=1,r=1. Find the L in the short-run given q as L(q)

** Part c (5 marks)

Following Part b, find the short-run cost function.

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