3.1. Consider the system of linear constraints 2.x1 + x2 < 100 X1+ x2 < 80 X1 < 40 X1, X2 > 0. (i) Write this system of constraints in standard form, and determine all the basic solutions (feasible and infeasible). (ii) Determine the extreme points of the feasible region (corresponding to both the standard form of the constraints, as well as the original version).

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