(write all the steps please )

any one of these Qs

faster please I'm in the exam ,

Q4: (8 points) Consider the following LP Max z= 3x -3x, Subject to: -X, +4x, 28 X + x 36 x20, x, unrestricted a) Solve the following LP optimally b) If a new variable x,20 is added where c, =0, a,=2, and a,=0, find the new optimal solution 05: (2 points each) In your own words a) What is the objective function in an assignment problem? b) What is the objective of post optimality analysis? c) How "conservation of flow" is used in network models? d) How can an assignment problem be unbalanced? e) How a transshipment problem is balanced? 1) How a change in the RHS of an LP may impact feasibility? g) What does it mean to have an artificial variable as a basic variable in an LP solution iteration? Q6: (4 points) MJK is aspiring freshman at JUST. He realizes that "all work and no play make MJK a dull boy". As a result, MJK wants to divide his available time of about 9 hours a day between work and play. He estimates that play is twice as much fun as work. He also wants to study at least as much as he plays. However, MJK realizes that if he is going to get all his homework assignments done, he cannot play more than 4 hours a day. How should MJK allocate his time to maximize his pleasure from both work and play