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TIFR ECE 2023 | Question: 3

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Let
\[
\mathcal{P}=\left\{(x, y): x+y \geq 1,2 x+y \geq 2, x+2 y \geq 2,(x-1)^{2}+(y-1)^{2} \leq 1\right\} .
\]
Compute
\[
\min _{(x, y) \in \mathcal{P}} 2 x+3 y
\]

  1. $2$
  2. $3$
  3. $4$
  4. $6$
  5. None of the above

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