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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 20 VL+K. The price ofL is 1 and the price of K is 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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SL 2. 5 ·됴 2- L 2( 13) シ)DO

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