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1.A firm manufactures bottles with the following technology: q =f (L) = 100√L, where q denotes...

1.A firm manufactures bottles with the following technology: q =f (L) = 100√L, where q denotes bottles and L, the number of workers.

  1. (a) How many workers are needed to produce q = 500 bottles? If the firm doubles that amount of workers, will they be able to double the amount of output?

  2. (b) Compute the marginal productivity of labor, MPL(L) = f0(L).

  3. (c) Show that MPL(L) is decreasing.

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