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Marius has the following utility function: U (X, Y) = 20X + 80 Y - X 2 -2Y 2 , X being the CD number,

Marius has the following utility function:

U (X, Y) = 20X + 80 Y - X2 -2Y2, X being the CD number, at 100 kr per piece, and Y is DVD number at 150 kr cost per piece. He wants to use 4500 kr for both CD and DVD. How much will he buy from each of them, given that he wants to maximise his usefulness?

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