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Homework Help: Microeconomic theory part 2

  1. Mar 5, 2008 #1
    1. The problem statement, all variables and given/known data
    A firm produces a single output (q) using Labor (L), and Capital (K). Its technology is described by the cobb-douglas production function Q= 10K and L is in a square root.
    a. Does this technology exhibit increasing,decreasing, or constant returns to scale? Does it exhibit a diminishing marginal productivity of labor?
    b. What can you say about the shape of this firm's short-run marginal cost curve? Is it positively sloped, negatively sloped, flat or u-shaped? What can you say about the shape of the long-run averagce cost curve?


    2. Relevant equations
    A relative equation is the Cobb-Douglas is relevant. Q= AK^B(beta) times L^a(alpha)


    3. The attempt at a solution
    What I did since L is in a square root, I raised L(labor) to the 1/2. I then concluded 1/2 was alpha, and if alpha is less that 1 then its MPL was decreasing. But if alpha = 1 then its a constant, and if its greater than 1, than its increasing. But I cant figure how the graphs would look or if I calculated it right. If someone can help I would appreciate it, thanks.
     
  2. jcsd
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