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Question: please help me to answer the question quot i ...

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3. A firm producing hockey sticks has a production function given b q 2vKL 1 1 1 2K2L 2 MP MP 2K 212 The wage rate for Lis w $1 and rental rate for K is v E a) Show that both marginal productivities are diminishing. b) Find out the RTS of Lfor K. c) Show that RTSLK is diminishing. In the short-run capital input is fixed so that K 100 d) Write the short run production function. e) Draw the short-run production function. f) Write the short-run total cost function as a function of q when K is fixed at 100 g) Calculate the short-run average cost function as a function of q h) What are the short-run total cost and short-run average cost when the firm produces at the output level q 100? In the long run capital input is not fixed. i) Graph the isoquants for q-20, q-50 and q 100 j) Find out the optimal inputs combinations to minimize the total production costs to produce at q 20, q 50 and E 100 in the long-run. k) Draw the expansion path in the same graph.

Please help me to answer the question " i , j , and k ".

These three quetion are what I want to know.

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