(a) Use the big-M simplex method to {:[" Maximize ",Z=x_(1)+2x_(2)+3x_(3)],[" Subject to ",x_(1)-x_(2)+x_(3) >= 4],[,x_(1)+x_(2)+2x_(3) = 2],[,x_(1)","x_(2)","x_(3) >= 0]:}

(a) Use the big - M simplex method to MaximizeSubjecttoZ=x1+2x2+3x3x1x2+x34x1+x2+2x38x1x32x1,x2,x30 (b) The research department of Unilever Ltd has recommended to the marketing department to launch a shampoo of three different types. The marketing manager has to decide one of the types of shampoo to be launched under the following estimated pay offs for various levels of sales: What will be the marketing manager's decision if i. Maximum criterion is applied? ii. Minimax criterion is applied? iii. Maximax criterion is applied? iv. Laplace criterion is used? v. Hurwicz criterion is used? Use =0.75