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Linear programming graph showing feasible region defined by three constraints.

Graph of a linear programming problem with three constraints: 7x + 10y ≥ -30 (solid line, shaded above), y ≤ 4 (solid line, shaded below), and x + y ≤ 0 (solid line, shaded below). The feasible region is the intersection of these shaded areas. Objective function f(x, y) = -x - 5y is to be minimized over this region.

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