Maximum value of $Z=5 x+2 y$, subject to $2 x-y \geq 2, x+2 y \leq 8$ and $x, y \geq 0$ is

Maximum value of $Z=5 x+2 y$, subject to $2 x-y \geq 2, x+2 y \leq 8$ and $x, y \geq 0$ is
  1. $28$
  2. $25.6$
  3. $40$
  4. $17.6$

Solution

$\mathrm{z}=5 x+2 y$ $\mathrm{z}_{\text {max. }}=5 \times 8+2 \times 0=40$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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