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What is an unbounded solution and an optimal solution?

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Unbounded Solution refers to one solution being unbounded, in the sense that the y=x is unbounded. Infinite Optimal Solutions refers to an infinite family of functions that are all optimal solutions.

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Unbounded Solution: In linear programming, an unbounded solution occurs when the objective function (e.g., profit or cost) can increase (or decrease) indefinitely without violating any of the constraints. This usually happens when the feasible region is open and the optimization problem lacks limits in the direction of optimization (maximizing or minimizing).

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An unbounded solution in linear programming occurs when the objective function can increase or decrease indefinitely without violating any constraints. An optimal solution is the best possible solution that maximizes or minimizes the objective function while satisfying all constraints.

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