The shaded region lies in the first quadrant and contains the origin. Testing (0,0): 0+0≤50 and 0+0≤80 both satisfied. The point (30,20) lies on both lines x+y=50 and 2x+y=80. So constraints are x+y≤50, 2x+y≤80, x,y≥0.
The linear constraints, for which the shaded area in the figure is the feasible region of an LPP, are :
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
The linear constraints, for which the shaded area in the figure is the feasible region of an LPP, are :
Official previous-year question
Held on 25 May 2023 · Verified 13 Jul 2026.
Options
- A
x+y≥50
2x+y≤80
x,y≥0 - B
x+y≤50
2x+y≥80
x,y≥0 - C
x+y≤50
2x+y≤80
x,y≥0 - D
x+y≥50
2x+y≥80
x,y≥0
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