(Answered) Wagner tool produces output according to q 2k12l12 where k

Economics

Wagner Tool produces output according to Q = 2K^1/2L^1/2, where K is the amount of capital used and L is the amount of labor employed. Wagner is constrained in the short run to use 9 units of capital.

a) How much labor is needed to make 48 units of output?

b) Calculate the marginal product of labor function when K=9.

c) Calculate the average product of labor function when K=9.

d) Describe how you would draw a graph for these functions. What is on your x-axis? What is on your y-axis? How would you describe where "diminishing marginal productivity" occurs? (Feel free to draw a graph of the answers from b) and c) to inform your answer.)

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