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a firms production function is Q=K^.2*L^.8 .The cost of labor $20 and the cost of capital...

a firms production function is Q=K^.2*L^.8 .The cost of labor $20 and the cost of capital is $80.a) what is the cost-minimizing combo of K and L if Q=100? b)does this firm have constant, increasing, decreasing returns to scale? explain. c)Prove your answer to part b using the definitions of constant, increasing or decreasing returns to scale.

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Given, a firm's production function along with cost of inputs. Please refer to the images below for the complete mathematical solution:

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