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A firm has the production functionQ=LK+ 2K. The associated marginal products are,MPL=KandMPK=L+2. The wage isw= $200, and the rental price of capital isr= $800.Required: (a)Are

A firm has the production functionQ=LK+ 2K. The associated marginal products are,MPL=KandMPK=L+2.

The wage isw= $200, and the rental price of capital isr= $800.Required:

  1. (a)Are the marginal products of labour and capital diminishing? Briefly explain.
  2. (2 marks)
  3. (b)Derive an expression for the firm's marginal rate of technical substitution. Is the marginal rate of technical substitution diminishing? Briefly explain.
  4. (2 marks)
  5. (c)Find the input demand functions for labour and capital as a function of the required quantity of outputQ.

(d) What is the cost to the firm of producingQ= 256 units?

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