Probs. 3-4-5 refer to the following problem and its complete solution Max . Z 4x1 + 6x2 + 3x3 + x+ ?2x1 + 2x2...
3-4-5 refer to the tollowing problem and its complete solution. probs. Max. Z . 4x1 + 6x2 + 3x3 + x. 4x1 + x2 + 2x, + x.S 700 2x1 + 3x2 + x3 + 2x, 200 (%) (%) 2 R.S. 4 63 - 550 3 /2 700 200 400 - 3 | 6331/ 0 3 /3 9/ 525 ว/10 12 0 20 / 3/0 - 125 20 425 13/20 1 2/ 25 0 3a. Read off the current optimal...
z= 4x Max 6*2 3x3 (x,) () (x,) 3x 550 2x2 2x 4x3 + + + 1 x 700 + 4x + 2 2x 200 3x2 + + 3 2x x. + R.S. 6 Eq.# 2 2 B.V. C -1 -3 -6 4 1 550 C O 1 3 2 /2 1 700 1 1 2 4 2 200 1 2 1 3 2 O 3 400 2 C O -1 1 4162/3 2/3 5/3 O 1 1 4/s O...
Consider the following LPP: Maximize z = 50x1 + 20x2 + 30x3 subject to 2x1 + x2 + 3x3 + 90 (Resource A) x1 + 2x2 + x3 + 50 (Resource B) x1 + x2 + x3 + 80 (Resource C) x1, x2 , x3 > 0 The final simplex table is Basis cj x1 x2 x3 s1 s2 s3 Solution 50 20 30 0 0 0 x1 50 1 -1 0 1 -1 0 40 x3 30 0...
3. Consider the following LP model: Maximize z 3x 2x2 5x subject to =30 -60 +x6 = 20 + 2x3 3.x i + 4x2 Check the optimality and feasibility of the following basic solutions: Basic variables = (X1,X3.Xp). Inverse = | 0 0 0 0 1 3. Consider the following LP model: Maximize z 3x 2x2 5x subject to =30 -60 +x6 = 20 + 2x3 3.x i + 4x2 Check the optimality and feasibility of the following basic solutions:...
3. Consider the following LP model: Maximize z 3x 2x2 5x subject to =30 -60 +x6 = 20 + 2x3 3.x i + 4x2 Check the optimality and feasibility of the following basic solutions: Basic variables = (X1,X3.Xp). Inverse = | 0 0 0 0 1 3. Consider the following LP model: Maximize z 3x 2x2 5x subject to =30 -60 +x6 = 20 + 2x3 3.x i + 4x2 Check the optimality and feasibility of the following basic solutions:...
Given the LPP: Max z=-2x1+x2-x3 St: x1+x2+x3<=6 -x1+2x2<=4 x1,x2<=0 What is the new optimal, if any, when the a) RHS is replaced by [3 4] b) Column a2 is changed from[1 2] to [2 5] c) Column a1 is changed from[1 -1] to [0 -1] d) First constraint is changed to x2-x3<=6 ? e) New activity x6>=0 having c6=1 and a6=[-1 2] is introduced ?
+ Adulte Com 4. Consider the following LP: max Z = 40 +-23 x +32 56 3.1 +2 -1 59 11,12,13 20 (a) Formulate the augmented LP. (b) How many basic variables does this LP have? (c) How many constraints (excluding non-negativity constraints) does the dual LP have? (d) How many basic variables does the dual LP have? (e) If 81,12 are basic variables in the above, then what are B. B- and B-'8?
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...
This is question 5.3-5 from Introduction to Operations Research (Hillier). Relevant text: Consider the following problem. Maximize Z= cixi + c2x2 + C3X3 subject to x1 + 2x2 + x3 = b 2x1 + x2 + 3x3 = 2b and x 20, X220, X2 > 0. Note that values have not been assigned to the coefficients in the objective function (C1, C2, C3). and that the only specification for the right-hand side of the functional constraints is that the second...
Must show all work 4. (10 pts) Consider the following problem. Minimize Z=3x2+2 xZ+X3, Maximize subject to subject to (constraint 1) x2+x2=7 (constraint 1) (constraint 2) 3x2+x2+x,210 (constraint 2) (constraint 3) X2-4 x32-8 (constraint 3) (constraint 4) x 21 and (all decision variables nonnegativel and x >0 (no nonnegativity constraint on x.i. (a) (5 pts) Convert this problem to a maximization problem with only three functional constraints, all constraints' RHS are non negative, and all decision variables need to satisfy...