MHT CET202617 April 2026Evening ShiftMathematicsLinear ProgrammingActual
In the following figure, the shaded region represents the system of constraints:
Options
- A2x + y 12, x + 2y 12, x + 1.25y 5, x 0, y 0
- B2x + y 12, x + 2y 12, x + 1.25y 5, x 0, y 0
- C2x + y 12, x + 2y 12, x + 1.25y 5, x 0, y 0
- D2x + y 12, x + 2y 12, x + 1.25y 5, x 0, y 0
Correct answer
D. 2x + y 12, x + 2y 12, x + 1.25y 5, x 0, y 0
Step-by-step solution
From the given graph, the shaded region is bounded by three given lines and the coordinate axes. The shaded region lies below the line x + 2y = 12 (towards the origin), which gives the inequality x + 2y 12 . The shaded region lies below the line 2x + y = 12 (towards the origin), which gives the inequality 2x + y 12 . The shaded region lies above the line x + 1.25y = 5 (away from the origin), which gives the inequality x + 1.25y 5 . Since the shaded region is in the first quadrant, the non-negativity constraints are