Let PC Rn be a polyhedron. Then, there exist vectors x, x, k {2 Aix + Oj v : i 0 di = 1, Oj 0, A = 1, 0, 0}. i=1 j=1 i=1 and v, v,..., v in Rn such that P = (a) Construct an unbounded polyhedron in R2 which has exactly three distinct extreme points (say, x, x and x) and two extreme rays (say, v and ) and represent it in the above mentioned form. (b) Find a feasible point in this polyhedron that can be represented using scalars A, A2 and A3, and 0 and 02 that are all positive.