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The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does always have a (not necessarily unique) basis that is both primal and dual feasibleinfeasible.

The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does always have a (not necessarily unique) basis that is both primal and dual feasible.

The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does always have a (not necessarily unique) basis that is both primal and dual infeasible.

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The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does always have a (not necessarily unique) basis that is both primal and dual feasible.

The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does have a (not necessarily unique) basis that is both primal and dual feasible.

The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does always have a (not necessarily unique) basis that is both primal and dual feasible.

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The answer is Yes. A Linear Programming problem that is both primal and dual infeasible does have a (not necessarily unique) basis that is both primal and dual feasible.