Question

3) Find the dual of the following LP: Max 4x1 - x2 s.t. 2x1 + 3x2...

3) Find the dual of the following LP: Max 4x1 - x2 s.t. 2x1 + 3x2 ≥ 10 x1 – x2 = 4 0.5x1 + 2x2 ≤ 20 x1 ≥ 0, x2 unconstrained

Please provide an excel solution to this problem

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the duals of the following LP: max z = 4x1 - x2 + 2x3 s.t....
Find the duals of the following LP: max z = 4x1 - x2 + 2x3 s.t. x1 + x2 <= 5 2x1 + x2 <= 7 2x2 + x3 >= 6 x1 + x3 = 4 x1 >=0, x2, x3 urs show steps
Consider the following LP: Max Z=X1+5X2+3X3 s.t. X1+2X2+X3=3 2X1-X2 =4 X1,X2,X3≥0 a.) Write the associated dual...
Consider the following LP: Max Z=X1+5X2+3X3 s.t. X1+2X2+X3=3 2X1-X2 =4 X1,X2,X3≥0 a.) Write the associated dual model b.) Given the information that the optimal basic variables are X1 and X3, determine the associated optimal dual solution.
Consider the problem max 4x1 + 2x2 s.t. x1 + 3x2 ≤ 5 (K) 2x1 +...
Consider the problem max 4x1 + 2x2 s.t. x1 + 3x2 ≤ 5 (K) 2x1 + 8x2 ≤ 12 (N) x1 ≥ 0, x2 ≥ 0 and the following possible market equilibria: i) x1 = 0, x2 = 3/2, pK = 0, pN = 1/4, ii) x1 = 1, x2 = 2, pK = 2, pN = 1, iii) x1 = 1, x2 = 2, pK = 4, pN = 0, iv) x1 = 5, x2 = 0, pK =...
Consider the following LP Min Z = 4X1+X2 s.t. 3X1+X2=3 4X1+3X2>=6 X1+X2<=4 X1 , X2 >=...
Consider the following LP Min Z = 4X1+X2 s.t. 3X1+X2=3 4X1+3X2>=6 X1+X2<=4 X1 , X2 >= 0 a) Put the problem into standard form, using slack, excess, and artificial variables. b) Identify the initial BV and NBV along with their values. c) Modify the objective function using an M, a large positive number. d) Apply the Big M method to find the optimal solution
max Z = 5x1+3x2+x3 s.t : 2x1+x2+x3 < 6 x1+2x2+x3 < 7 x1, x2, x3 >...
max Z = 5x1+3x2+x3 s.t : 2x1+x2+x3 < 6 x1+2x2+x3 < 7 x1, x2, x3 > 0 Solve the problem. What is the optimal value of the objective function (OF)? Decision variables? Solve the problem. What is the optimal value of the objective function (OF)? Decision variables? (20 points)
Solve The LP problem using the graphic method Z Max=5X1+3X2 Constaint function: 2X1 + 4X2 ≤...
Solve The LP problem using the graphic method Z Max=5X1+3X2 Constaint function: 2X1 + 4X2 ≤ 80 5X1 + 2X2 ≤ 80 X1≥ 0 , X2≥0
Find the dual of the following LP, using direct method. minz=4X1 +2X2 -X3 subject to X1...
Find the dual of the following LP, using direct method. minz=4X1 +2X2 -X3 subject to X1 +2X2 ≤6 X1 -X2 +2X3 =8 X1 ≥0,X2 ≥0,X3 urs
Duality Theory: Consider the following LP: max 2x1+2x2+4x3 x1−2x2+2x3≤−1 3x1−2x2+4x3≤−3 x1,x2,x3≤0 Formulate a dual of this...
Duality Theory: Consider the following LP: max 2x1+2x2+4x3 x1−2x2+2x3≤−1 3x1−2x2+4x3≤−3 x1,x2,x3≤0 Formulate a dual of this linear program. Select all the correct objective function and constraints 1. min −y1−3y2 2. min −y1−3y2 3. y1+3y2≤2 4. −2y1−2y2≤2 5. 2y1+4y2≤4 6. y1,y2≤0
Consider the following LP problem: Minimize Cost = 3x1 + 2x2 s.t. 1x1 + 2x2 ≤...
Consider the following LP problem: Minimize Cost = 3x1 + 2x2 s.t. 1x1 + 2x2 ≤ 12 2x1 + 3 x2 = 12 2 x1 + x2 ≥ 8 x1≥ 0, x2 ≥ 0 What is the optimal solution of this LP? (0,8)(12,0)(4,0)(0,4)(2,3)(0,6)(3,2) I NEED SOLUTION!
Max Z   = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 ≤ 8 2x2...
Max Z   = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 ≤ 8 2x2 + 5x3 ≤ 12 3x1 + x2 + 4x3   ≤15 and x1,x2,x3≥0; Verify that your primal and dual solutions are indeed optimal using the Complementary Slackness theorem.