Question: 5. There is a LP model: (48 points) max z = 7x + 2x +10x3 x + 2x + 3x 300 3x + 2x

5. There is a LP model: (48 points) max z = 7x + 2x +10x3 x + 2x + 3x 300 3x + 2x + 3x3 600 (X X X3 0 (1)

5. There is a LP model: (48 points) max z = 7x + 2x +10x3 x + 2x + 3x 300 3x + 2x + 3x3 600 (X X X3 0 (1) What are the optimal solution and value of objective function? (14') (2) Write the optimal solution of dual problem according to the final table. (5) 1 (3) Please write the following vectors and matrices according to the model and final table. (5') N, B-P59 B-b, CB, P1 (4) Verify that the final table is correct; (5) (5) What's the allowable range of c3 that enable the optimal base to remain unchanged? (7) 1 (6) If b' =800, does the optimal basic matrix change? If changes, what are the new optimal solution and the value of objective function? (12')

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