[Solution] A firm’s production function is: Q = K 1/2 L 1/2 and the demand for its output is: Q = 300-10P. If the firm’s wage rate is $10/hour and capital


Question: A firm’s production function is: Q = K 1/2 L 1/2 and the demand for its output is: Q = 300-10P.

  1. If the firm’s wage rate is $10/hour and capital rental rate is $2.50/hour, what is its optimal output, inputs, price, and profit?
  2. If now the wage rate rises to $22.50, what will be its output, inputs, price, and profit?
  3. Explain this change in terms of output and factor substitution effects .
  4. Are these normal or inferior inputs?

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