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A firm's production function is Q(K,L) = 8K 1/2 +L 1/2 whereandare respectively,capital and labour costs. Unit capital and labour costs are 25 and 1,

A firm's production function is

Q(K,L) = 8K1/2+L1/2

whereandare respectively,capital and labour costs. Unit capital and labour costs are 25 and 1, respectively.What is the minimum total of input costs (that is, costs due to capital andlabour) if output Q is to be 240 units? You may assume a minimum point exists.

Round your answer to 2 decimal places.

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