The graphical solution set for the system of inequations $x-2 y \leq 2,5 x+2 y \geq 10,4 x+5 y \leq 20, x…

The graphical solution set for the system of inequations $x-2 y \leq 2,5 x+2 y \geq 10,4 x+5 y \leq 20, x \geq 0,$ $y \geq 0$ is given by
  1. Fig.2
  2. Fig.4
  3. Fig.1
  4. Fig.3

Solution

Feasible region lies on origin side of $x-2 y=2$, $4 x+5 y=20$ and on non-origin side of $5 x+2 y=10$, in $1^{\text {st }}$ quadrant. Fig.3

Asked in: MHT CET 2023 (09 May Shift 2)

Practice more Linear Programming questions on Aicharya