Material Detail

A browser-native, fully accessible interactive tool for the graphical (Method of Corners) approach to two-variable linear programming, suitable for finite-mathematics, business-mathematics, introductory operations research, and quantitative-methods courses across community college and undergraduate levels. The tool conforms to WCAG 2.1 AA — keyboard navigation, screen-reader-accessible mathematics, and high-contrast modes throughout — and runs entirely client-side. It draws the feasible region for two-variable linear programs, marks every corner of the polytope, evaluates the objective function at each corner, identifies the optimum, and updates the entire display in real time as constraint coefficients, right-hand sides, and the objective gradient are edited. The live-update behavior is what makes the tool work pedagogically: sensitivity to right-hand-side changes (shadow prices) and to objective-gradient changes (the range over which the optimal vertex remains optimal) becomes a visual property that students can manipulate directly, rather than an algebraic abstraction encountered through the simplex tableau. This positions the tool as a bridge to the simplex method and linear-programming duality students encounter later, and addresses a common pedagogical gap in which students learn graphical methods and the simplex method as disconnected procedures rather than as the geometric and algebraic faces of the same optimization problem.

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