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6- (a) Define the following expressions: Convex set - Line segment - Extreme point (b) Prove that the intersection of two convex sets is a

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6- (a) Define the following expressions: Convex set - Line segment - Extreme point (b) Prove that the intersection of two convex sets is a convex set. (c) Solve the following linear programming problem using the simplex method: MaximizeZ=3x1+4x2Subjectto2x1+3x2165x1+2x220x1,x20

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