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In: Economics

Consider a firm whose technology can be represented by the following Cobb-Douglas production function: , f(L,K)...

  1. Consider a firm whose technology can be represented by the following Cobb-Douglas production function: , f(L,K) = L0.5K0.5, where L and K represent labor and capital, respectively. In a new diagram, in please draw an isoquant that represent an output level of 20 units.
  2. Suppose the price of labor, w, is 1 and the price of capital, r, is 2, and the firm’s budget, C, is 100. Please draw the firm’s isocost line in the same diagram.
  3. Can the firm produce 20 units of output?
  4. Given the firm’s isocost line, what is the maximum amount of output it can produce and what combination of labor and capital will it use at this production level and how much will the firm produce? Solve for this optimal input bundle using calculus and then show it in your diagram.

Need help solving for part D. Thanks

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