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1. A firm has the following production function q = (k3/41/2). It aims to produce 200 units of output and faces prices for labour and

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1. A firm has the following production function q = (k3/41/2). It aims to produce 200 units of output and faces prices for labour and capital as follows: W =6, v =2. (8 marks) a) Form the Lagrangian Function for the the cost minimization problem. (1) b) Find the cost- minimizing bundle of labour and capital, (k*, I*). (5) c) Show this cost minimizing level of inputs in a diagram. (2)

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