Question

Max Z = X1 - X2 + 3X3 s.t. X1+X3 = 5 X1+X2 <= 20 X2+X3...

Max Z = X1 - X2 + 3X3

s.t. X1+X3 = 5

X1+X2 <= 20

X2+X3 >= 10

X1 , X2 , X3 >= 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

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
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
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.
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)
Consider the following problem.                         Maximize   Z = 2x1 - x2 + x3, subject to x1...
Consider the following problem.                         Maximize   Z = 2x1 - x2 + x3, subject to x1 - x2 + 3x3 ≤   4             2x1 + x2           ≤ 10             x1 - x2 -    x3 ≤   7 and       x1 ≥ 0,   x2 ≥ 0,    x3 ≥ 0. Use Excel Solver to solve this problem. Write out the augmented form of this problem by introducing slack variables. Work through the simplex method step by step in tabular form to solve the problem.
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 linear program Max 5x1+5x2+3x3 St x1+3x2+x3<=3 -x1+ 3x3<=2 2x1-x2 +2x3<=4 2x1+3x2-x3<=2 xi>=0 for...
Consider the following linear program Max 5x1+5x2+3x3 St x1+3x2+x3<=3 -x1+ 3x3<=2 2x1-x2 +2x3<=4 2x1+3x2-x3<=2 xi>=0 for i=1,2,3 Suppose that while solving this problem with Simplex method, you arrive at the following table: z x1 x2 x3 x4 x5 x6 x7 rhs Row0 1 0 -29/6 0 0 0 11/6 2/3 26/3 Row1 0 0 -4/3 1 0 0 1/3 -1/3 2/3 Row2 0 1 5/6 0 0 0 1/6 1/3 4/3 Row3 0 0 7/2 0 1 0 -1/2 0...
Given a LP model as:Minimize Z = 2X1+ 4X2+ 6X3 Subject to: X1+2X2+ X3≥2 X1–X3≥1 X2+X3=...
Given a LP model as:Minimize Z = 2X1+ 4X2+ 6X3 Subject to: X1+2X2+ X3≥2 X1–X3≥1 X2+X3= 1 2X1+ X2≤3 X2, X3 ≥0, X1 urs a) Find the standard form of the LP problem. b) Find the starting tableau to solve the Primal LP problem by using the M-Technique.
Maximize 12X1 + 10X2 + 8X3             Total Profit Subject to      X1 + X2 + X3 >...
Maximize 12X1 + 10X2 + 8X3             Total Profit Subject to      X1 + X2 + X3 > 160        At least a total of 160 units of all three products needed                  X1 + 3X2 + 2X3 ≤ 450         Resource 1                  2X1 + X2 + 2X3 ≤ 300         Resource 2                2X1 + 2X2 + 3X3 ≤ 400         Resource 3                   And X1, X2, X3 ≥ 0 Where X1, X2, and X3 represent the number of units of Product 1, Product...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT