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2. Solve the following minimization problem graphically. Minimize z 4x1 5x2, subject to 4x12x2 12...
(a) State the dual problem. (b) Solve both the primal and the dual problem with any method that w...
(a) State the dual problem.
(b) Solve both the primal and the dual problem with any method
that works.
(c) Check that your optimal solutions are correct by verifying they
are feasible and the primal and dual objective functions give the
same value.
9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,2...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 ...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
2. Consider the following LP: Min z = -4x1 - 5x2 + 3x3 Subject to X1...
2. Consider the following LP: Min z = -4x1 - 5x2 + 3x3 Subject to X1 + x2 + x3 = 10 X1 X2 > 1 X1 + 3x2 + x3 = 20 X1, X2, X3 20 (a) Solve the problem by Big M method. (b) Solve the problem by two-phase method.
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject...
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 +...
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 + 2x2≤18 x1, x2≥0
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤...
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤ 6 3x1 + 2x2 ≤ 18 x1, x2 ≥ 0
Example #04 Solve the following problem using the Big M method. max:z 4x1 +5x2-3x3 Subject to...
Example #04 Solve the following problem using the Big M method. max:z 4x1 +5x2-3x3 Subject to x12x2x3= 10 x1-x2+2 6 x13x2+x314
3. Solve the following LP problem graphically. Maximize profit = 20x1+ 10x2 Subject to:5x1 + 4x2≤250...
3. Solve the following LP problem graphically. Maximize profit = 20x1+ 10x2 Subject to:5x1 + 4x2≤250 2x1 + 5x2≤150 x1, x2≥0
1. Consider the following problem Minimize Z= X1+2X2, subject to 90 30 and (a) Solve this problem...
i can't solve 1-(b)....
1. Consider the following problem Minimize Z= X1+2X2, subject to 90 30 and (a) Solve this problem graphically (b) Work through the simplex method to solve the problem. Mark BFSs of the simplex method in the graph from (a)
1. Consider the following problem Minimize Z= X1+2X2, subject to 90 30 and (a) Solve this problem graphically (b) Work through the simplex method to solve the problem. Mark BFSs of the simplex method in the graph...
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1...
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
(a) State the dual problem.
(b) Solve both the primal and the dual problem with any method
that works.
(c) Check that your optimal solutions are correct by verifying they
are feasible and the primal and dual objective functions give the
same value.
9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,2...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
2. Consider the following LP: Min z = -4x1 - 5x2 + 3x3 Subject to X1 + x2 + x3 = 10 X1 X2 > 1 X1 + 3x2 + x3 = 20 X1, X2, X3 20 (a) Solve the problem by Big M method. (b) Solve the problem by two-phase method.
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
Example #04 Solve the following problem using the Big M method. max:z 4x1 +5x2-3x3 Subject to x12x2x3= 10 x1-x2+2 6 x13x2+x314
i can't solve 1-(b)....
1. Consider the following problem Minimize Z= X1+2X2, subject to 90 30 and (a) Solve this problem graphically (b) Work through the simplex method to solve the problem. Mark BFSs of the simplex method in the graph from (a)
1. Consider the following problem Minimize Z= X1+2X2, subject to 90 30 and (a) Solve this problem graphically (b) Work through the simplex method to solve the problem. Mark BFSs of the simplex method in the graph...
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
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