Explain the law of diminishing returns


Given a production function as the following: Q = f (K, L) = K 0.3 L 0.5

Find the second order partial derivatives fKK, fLL, fKL to answer the two questions below:
(You must explain the answers in detail)

a) Are we experiencing The Law of Diminishing Returns in the use of K and L?
b) How are K and L related to each other (as substitutes or complementary inputs)?

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Microeconomics: Explain the law of diminishing returns
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