असमिका प्रणाली ग्राफ़र
Feasible Region · Corner Points · Linear Programming · Up to 5 Constraints
Enter up to 5 linear inequalities, graph all boundary lines, shade each feasible half-plane, and instantly see the combined feasible region with labeled corner points. Perfect for linear programming optimization.
Presets
Inequalities
Use <=, >=, <, > symbolsग्राफ बनाएँ
Scroll to zoom · Drag to pan · Hover for coordinates
Legend
Corner Points
Test a Point
असमिका प्रणाली ग्राफ़र क्या है?
यह ग्राफ़र आपको एक ही अक्ष पर कई असमिकाओं को आरेखित करने की अनुमति देता है। समाधान क्षेत्र वह क्षेत्र है जो सभी असमिकाओं को संतुष्ट करता है।
Boundary intersections to check:
| Boundary Lines | Intersection | Satisfies All? |
|---|---|---|
| x = 0 & y = 0 | (0, 0) | Yes → corner point |
| x = 0 & x + 2y = 7 | (0, 3.5) | Yes → corner point |
| y = 0 & 2x + y = 8 | (4, 0) | Yes → corner point |
| 2x + y = 8 & x + 2y = 7 | (3, 2) | Yes → corner point |
The four corner points are (0,0), (4,0), (3,2), (0,3.5). If the objective is to maximize P = 3x + 4y, evaluate at each: P(0,0)=0, P(4,0)=12, P(3,2)=17, P(0,3.5)=14. The maximum is P = 17 at (3, 2). Load this example using the "Basic LP" preset above.