Templates

Three products compete for three scarce resources. Simplex finds the exact profit-maximizing production plan in milliseconds — and the sensitivity report shows which resource is worth paying for (shadow prices).

Eight items, one 15 kg pack. Solve with Evolutionary and open the Insights tab: the inclusion-frequency chart shows which items appear in essentially every good packing (take those) and which are coin-flips. Simplex LP proves the exact optimum for comparison.

Four asset classes, quadratic risk proxy, a floor on expected return, weights summing to 1. GRG Nonlinear descends to the efficient allocation; the telemetry shows the gradient dying as it converges, and the constraint report shows the return floor binding — as it should.

Each hire starts on some weekday and works five consecutive days. Meet every day's demand with the fewest people. A neat MIP where the answer is rarely what you'd guess by hand.

Minimize daily food cost subject to calorie, protein, and fat requirements. The founding problem of linear programming — George Stigler solved it by hand in 1945; HiGHS does it before your finger leaves the mouse.

Maximize a rippled two-variable surface full of local optima. Run it with GRG Nonlinear (multistart 1) and it parks on whichever hill is nearest; run Evolutionary and watch the diversity chart as the population converges on the global peak. The clearest demo of why engine choice matters.