A competitive firm’s production function is given by y= f(x1,x2)=x1ax2b   If a=b=0.5 , the price of factor 1 is 12, and the price of factor 2 is 3, find the cost minimizing input combinations and the total cost of producing 40 units of output. Redo part (1), this time by first deriving the firm’s conditional factor demand functions and the cost function

Microeconomic Theory
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ISBN:9781337517942
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Chapter10: Cost Functions
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A competitive firm’s production function is given by

y= f(x1,x2)=x1ax2b  

  1. If a=b=0.5 , the price of factor 1 is 12, and the price of factor 2 is 3, find the cost minimizing input combinations and the total cost of producing 40 units of output.
  2. Redo part (1), this time by first deriving the firm’s conditional factor demand functions and the cost function.
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