Corner Point Calculator

Corner Point Calculator

Identify the feasible-region vertices from linear inequalities.

Last updated: June 2026 | By Patchworkr Team

Feasible Region Builder

Constraints

Assumes x ≥ 0 and y ≥ 0. Invalid coefficients are rejected.

Corner Points

(0, 0)
(0, 10)
(7.5, 0)
(5, 5)
Found 4 feasible corner point(s) from 2 constraint(s).

What are corner points?

Corner points are the vertices of the feasible region where constraint boundaries meet.

How to Use It

  1. Enter each inequality in ax + by ≤ c form.
  2. Add or remove constraints as needed.
  3. Read the feasible corner points on the right.

Why assume x ≥ 0 and y ≥ 0?

That matches the standard first-quadrant feasible-region setup used in many textbook problems.

Can constraints be negative?

Yes, as long as they parse as numbers and the feasible region is still meaningful.

What if two lines are parallel?

Parallel constraints do not produce an intersection point and are skipped.

What if the region is empty?

The calculator will return no feasible corner points.

Example

For x + y ≤ 10, 2x + y ≤ 15, x ≥ 0, y ≥ 0, the feasible vertices include (0,0), (7.5,0), (5,5), and (0,10).

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