Consumer behaviour, economics, Microeconomics

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Maurice has the following utility function:
U (X; Y ) = 20X + 80Y ?? X2 ?? 2Y 2
where X is his consumption of CDs, with a price of $1, and Y is his consumption
of movie videos, with a rental price of $2. He plans to spend $41 on both forms of
entertainment. Determine the number of CDs and video rentals that will
maximize Maurice''s utility.

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