Problem 625 (difficulty: 4/10)

(a) Legfeljebb mekkora lehet \(\displaystyle 2x^3+5y^3+7z^3\), ha \(\displaystyle x^4+y^4+y^4=1\)?

(b) Legfeljebb mekkora lehet \(\displaystyle x^3+y^3+z^3\), ha \(\displaystyle 2x^4+3y^4+5y^4=1\)?

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