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IMAS 2023–2024 Junior Division — First Round Question 16

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 16

The positive real numbers $a,b,c$ satisfy $2a+3b+4c=9$. What is the maximum possible value of $a^4b^3c^2$?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$