6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximiz...
SOLVE STEP BY STEP! 4. Consider the following LP: Minimize z = x; +3x2 - X3 Subject to x + x2 + x2 > 3 -x + 2xz > 2 -x + 3x2 + x3 34 X1 X2,43 20 (a) Using the two-phase method, find the optimal solution to the primal problem above. (b) Write directly the dual of the primal problem, without using the method of transformation. (c) Determine the optimal values of the dual variables from the optimal...
for last thing, these are 2 methods that we learned in class Theorem 1 (Sufficient Optimality Criterion): If x0 and y0 are feasible solutions to the primal and dual problems such that z = cx0 = y0b = w, then x0 and y0 are optimal solutions to their respective problems. Theorem 2 (Strong Duality): In a primal-dual pair of LPs, if either the primal or the dual problem has an optimal feasible solution, then the other problem does also have...
#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...
Introduction to management science 이름:name 계산값:calculated value 한계비용:marginal cost 목표 셀 계수:target count 허용 가능 증가치:allowable increment 허용 가능 감소치:permissible value 잠재 가격:potential price 제한 조건 우변:restrictions on the right side Given this LP modele maximize Z = 10x1 + 6x2 + 5x- 2x, +3x, +4x2 s 25 (a) The sensitivity report is shown as follows: 계산 한계 목표 셀허용가능 허용가능 셀 이름 값 비용 계수 증가치 감소치 SD$6 x1 SES6 x2 6.6666666670624 SF$6 x3 10 5.S 0 -22 2.2...
Introduction to management science 이름:name 계산값:calculated value 한계비용:marginal cost 목표 셀 계수:target count 허용 가능 증가치:allowable increment 허용 가능 감소치:permissible value 잠재 가격:potential price 제한 조건 우변:restrictions on the right side Given this LP modele maximize Z = 10x1 + 6x2 + 5x- 2x, +3x, +4x2 s 25 (a) The sensitivity report is shown as follows: 계산 한계 목표 셀허용가능 허용가능 셀 이름 값 비용 계수 증가치 감소치 SD$6 x1 SES6 x2 6.6666666670624 SF$6 x3 10 5.S 0 -22 2.2...