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3. A firm intends to produce 30 units of output (Q) as cheaply as possible. The firms production function depends on capital (K) and labour (L) and is given by Q VK + L. The price of K is 1 and the price of L is 20 (i) Write down the Lagrangian for this firms optimisation problem. ii Find the optimal choices of K and L (ii) Report and interpret your solution for the Lagrange multiplier

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