For Educators · Linear Programming
Linear Programming for a shift schedule
Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a shift schedule live below — adjust the inputs and watch it respond, right in your browser.
Linear ProgrammingLive
optimize over a feasible region
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Linear programming maximizes a linear objective subject to linear constraints. The constraints carve out a convex feasible region (shaded), and the optimum always sits at a corner. Slide the objective coefficients and watch the optimal vertex jump between corners — the geometric idea behind the simplex algorithm that runs global logistics and finance.
Data Inspector
Optimal x6.00
Optimal y4.00
Objective value26.00
Governing equation
Reading this result: Maximizing 3·x + 2·y lands the optimum at the corner (6.0, 4.0) worth 26.0 — a linear objective over a convex region always peaks at a vertex, so sliding c₁/c₂ just makes the solution hop between corners.
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Frequently asked questions
- Is this good for educators?
- Yes — this version of "Linear Programming for a shift schedule" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.