Question: (2). True or False? Give a brief explanation or counterexample: (a). For a max problem in normal (symmetric) form all dual prices are non negative.

(2). True or False? Give a brief explanation or counterexample: (a). For a max problem in normal (symmetric) form all dual prices are non negative. (b). An LP in normal (symmetric) form and its dual must have the same number of variables. (c). If a primal LP is unbounded then its dual must be infeasible. (d). If a primal LP is infeasible then its dual must be unbounded
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