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Question 1 (20 marks) A rm uses labour whose quantity is denoted by L and capital services whose quantity is denoted by K. The production function is given by Q = 100LK , and the price of labour w is $2 per unit and the price of capital 3' is $1 per unit. 3) Using the method of Lagrange, nd the rm's cost-minimizing input combination (L, K) when it seeks to produce 12,800 units per year. (15 marks) b) What is the minimized level of total cost TC when output equals 12,800