The maximum value of the objective function $\mathrm{z}=4 \mathrm{x}+5 \mathrm{y}$ subject to constraints $2…

The maximum value of the objective function $\mathrm{z}=4 \mathrm{x}+5 \mathrm{y}$ subject to constraints $2 x+3 y \leq 12,2 x+y \leq 8$ and $x \geq 0, y \geq 0$ is
  1. 24
  2. 23
  3. 22
  4. 21

Solution

$z=4 x+5 y$ $\mathrm{z}_{\max }=4 \times 3+5 \times 2=22$

Asked in: MHT CET 2022 (05 Aug Shift 2)

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