Here is a dictionary of an LP: X4 4 +3x3 -2x5 3 +x3 -x5 X2 4 +2x3 -x5 13 +5x3 -4x5 || (a) What is the basic feasible solution carried by this dictionary? (b) How many constraints did the original LP have? (c) Continue the simplex method and make a decision about the nature of this LP (i.e., is it infeasible, unbounded, has a unique optimum, has multiple optima etc) and write down its optimal value and solutions (if they exist).

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