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1. (20 points) Consider the following LP: Maximize z=X12X2 Subject to X13X1+X242X1X22X1+X21X1,X20 (a) On a two-dimensional graph, show the feasible region and its extreme points.

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1. (20 points) Consider the following LP: Maximize z=X12X2 Subject to X13X1+X242X1X22X1+X21X1,X20 (a) On a two-dimensional graph, show the feasible region and its extreme points. (b) Is there any redundant constraint in the given LP? If yes, which constraint(s)? (c) Determine the optimal solution of the given LP. Write explicitly the values of the objective function and the decision variables. (d) Which constraints are binding in the optimal solution

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