and the point

v=(3,2,0,0,3)

.\ (a) Find a nonzero vector

w

so that

v+w

and

v-w

both belong to the feasible\ region of this LP. (This shows that

v

is not a vertex!)\ (b) For what values of

\\\\lambda inR

is

v+\\\\lambda w

feasible?\ (c) Which of the feasible points

v+\\\\lambda w

(that you found in part (b)) achieves the\ largest value of the objective function?

Problem 2. Consider the linear program maxsubjecttox1x2+x4x5x1+x2+x35x3+x53x4+x53x1,x2,x3,x4,x50 and the point v=(3,2,0,0,3). (a) Find a nonzero vector w so that v+w and vw both belong to the feasible region of this LP. (This shows that v is not a vertex!) (b) For what values of R is v+w feasible? (c) Which of the feasible points v+w (that you found in part (b)) achieves the largest value of the objective function