Consider the following LPP max z=9x_{1}+8x_{2}+5x_{3} subject to 2x_{1}+3x_{2}+x_{3}<_4 5x_{1}+4x_{2}+3x_{3}<_11 x_{1},x_{2},x_{3}>_0
(a)solve using simplex method
(b)hence using the sesitivity analysis,find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15