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25-09-2022
Mathematics

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A firm's production function is given by Q=16√K +6√L where Q, K and L denote out-
put, 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 output.

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