16.10 Consider the linear programming problem minimze -T subject to 1-2-1 T1,2 20 a. Write down the basic feasible solu...
Question 1 - Revised Simplex Algorithm 10 marks Suppose we are solving the following linear programming problem Subject to 8x1 + 12x2 + x3 15x2 + x4 3x1 + 6x2 + X5 -120 60 = 48 x1,x2,x3, x4,x5 2 0 Assume we have a current basis of x2,xz, x5. Demonstrate your understanding of the steps of the Revised Simplex Algorithm by answering the following: a) What is the basic feasible solution at this stage? What is the value of the...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
#16.2 Consider the following standard form LP problem: minimize 2xi -x2-^3 subject to 3x1+x2+エ4-4 a. Write down the A, b, and c matrices/vectors for the problem. b. Consider the basis consisting of the third and fourth columns of A, or- dered according to [a4, as]. Compute the canonical tableau correspond ing to this basis c. Write down the basic feasible solution corresponding to the basis above, and its objective function value. d. Write down the values of the reduced cost...
Consider the following linear programming problem Manimize $45X1 + $10X2 Subject To 15X1 + 5X2 2 1000 Constraint A 20X1 + 4X2 > 1200 Constraint B X1, X2 20 Constraint C if A and B are the two binding constraints. a) What is the range of optimality of the objective function? 3 C1/C2 s 5 b) Suppose that the unit revenues for X1 and X2 are changed to $100 and $15, respectively. Will the current optimum remain the same? NO...
Exercise 4.1 Consider the linear programming problem: minimize 1 2 subject to 21 3x23A K 0 321 2 + 4r3 2x4 2 3 1 0 2,320. Write down the corresponding dual problem