Question: A firm's production function is given by = 16 + 6 where Q, K and L denote output, capital and labour, respectively. The cost of

A firm's production function is given by = 16 + 6 where Q, K and L denote output, capital and labour, respectively. The cost of providing each unit of capital and labour is $80 and $27, respectively. Find the number of units of capital and labour if the firm wishes to minimise total costs whilst satisfying a production quota of 102 units of inputs.

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