Question

Exercise 6 Consider the LP problem subject to 1 1/2 T2 S1 2 2. 1, 0. After applying the Simplex method, the last simplex tableau is the follow- ng: z x1 x2 81 82 83|RHS -1 0 0 0 0 1-2 1 0 1 0 1 01/2 82 0 2 10 r20 0 1 201 Explain if the problem has one solution, infinitely many, or none. If it has infinitely many solutions, give a segment or a ray of solutions. Confirm your conclusions by solving the problem geometrically.

please answer all the question and explain clearly! THANKS!

Answer 1

From imp he pes e plex Table phmal solution. ou the non basic variables 3i costo 81,52 ba zero in tbe opimal table re e their are troo which indicates multiple lintinil many oia solutio Graphical ethod Now, we draw o 2 le ds graph For givep The region is Feasible e Corner nts ea si ble legion ← 0) 0(0,0) on check maimizeh we put oro,o), A Lo,2), 8(1,) in 271tズ2. 010,0 SoluHon is mple, Solu Hon 2 8 (110