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The production function is ( ) = 20 - 2 and the price of output is normalized to $1. Let $ be the price of

  1. The production function is ( ) = 20 - 2 and the price of output is normalized to $1. Let $ be the price of the input 0.
  2. a. Show that this production function exhibits decreasing returns to scale.
  3. b. State and solve the profit maximization problem, and show that the input demand function is () = 20 2 .
  4. c. For what values of , will the optimal be zero?
  5. d. For what values of , will the optimal x be 10?

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