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If wage rate of labour (w) is 6, the price of capital (r) is 3, and a firm faces the production function y = 4L

If wage rate of labour (w) is 6, the price of capital (r) is 3, and a firm faces the production function y = 4L 2/3 K 1/3 ,

  1. To minimize cost, derive the firm’s optimal choice of labor and capital (K) as a function of output level (y).
  2. What is the total cost function of this firm?
  3. What is the expansion path of this firm?

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