When we solve a maximization problem with the objective function 2x1 + 3x2 + 4x3, we get the following tableau, (because the paper is dropped in water, some entries are missing) X X3 S2 RHS Basic Z z 1 X2 0 1/2 -3 1 Si 4 1/5 2 -1 d 7/9 2/5 2/3 4/7 3 0 2 where S1, S2 and d are the slack and surplus variables corresponding to constraints 1, 2 and 3 respectively. a. Fill out the above tableau. b. Find out what are the basic variables. c. Is this solution degenerate? d. Is this an optimal tableau? e. Does this problem have multiple optimal solutions? f. What is the optimal objective value? Give an optimal solution. g. Find out the optimal dual solution. h. Find out the scarce and abundant constraints