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Please show your work Use the tangency rule to determine the cost-minimizing bundles of labor and capital for a Japanese synthetic rubber firm's production function,

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Use the tangency rule to determine the cost-minimizing bundles of labor and capital for a Japanese synthetic rubber firm's production function, q = L0.5K0.5 (Flath, 2011), where w = $120 and r = $40. At the cost-minimizing bundle as a function of L, K =

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