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Question: Answered & Verified by Expert
The shaded area in the figure below is the solution set for a Certain Linear Programming problem. The linear constraints are given by

MathematicsLinear ProgrammingMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
  • B $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
  • C $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y \geq 2, x \geq 0, y \geq 0$
  • D $3 x+4 y \leq 18,2 x+3 y \leq 3, x-6 y \geq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
Solution:
1012 Upvotes Verified Answer
The correct answer is: $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
The shaded region is represented by
$3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$

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