Question: Consider the following problem Maximize Z=2x 1 + 5x 2 + x 3 subject to 4x 1 + 2x 2 + x 3 6 x

Consider the following problem

Maximize Z=2x1 + 5x2 + x3

subject to

4x1+ 2x2 + x3 6

x1 + x2 2

xi 0 for i=1,2,3

a. Inserting slack variables, construct the initial simplex tableau. What is the initial basic feasible solution?

b. What is the next non-basic variable to enter the basis

c. Using the minimum ratio rule, identify the basic variable to leave the basis.

d. Using elementary row operations, find the next basic feasible solution.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Q:

Question 1) Consider the following problem. Maximize Z=2x, +7x, +4x3, Subject to x + 2x, +x, S6 3x, +3x, +2x, so And x 20, x, 20, X, 20. Let x, and x, be the slack variables for the first and second...

Q:

1. Consider the following problem. Maximize Z=-2x + x - 4x3 + 3x4 Subject to: x + x + 3x + 2x 4 X X + x 1 2.x + x 2 x + 2x + x + 2x = 2 and X 0, x 0, x 0 (no nonnegativity constraint for x)....

Q:

Hello, I need an answer that is not on chegg. I've asked this before and am just asking again to get a second opinion and confirm the answers. Thank you 1. Consider the following problem. = Maximize...

Q:

6.2-6. Consider the following problem. Maximize Z=2x +7x + 4x3, subject to x + 2x + x 10 3x + 3x + 2x 10 and x 0, x 0, * 2 0. (a) Construct the dual problem for this primal problem. (b) Use the...

Q:

1. (20 pts.) Consider the following problem. Maximize Z=2x + 5x2 + 3x3 s.t. x12x2 + 3x3 > 20 2x + 4x2 + x 50 xit x2 + 3x;

Q:

2. (25 pts. Consider the following problem. Maximize Z= 2x1 +5x2 + 3x3 s.t. X1 - 2x2 + 3x3 > 20 2x + 4x2 + x3 = 50 x1 + x2 + 3x3 3 4 X1 X3 > -1 and X1, X2, X3 > 0 a. Reformulate this problem to fit...

Q:

3. Problem (30 points total) Consider the following problem. Maximize Z = 8x1 + 4x2 + 6X3 + 3x4 + 9X5, subject to x1 + 2x2 + 3X3 + 3x4 5 180 (resource 1) 4x1 + 3x2 + 2x3 + x4 + x5 5 270 (resource 2)...

Q:

3. Problem (30 Points total) Consider the following problem. Maximize Z = 8x1 + 4x2 + 6X3 + 3x'51 + 9X5, subject to x1 + 2x2 + 3X3 + 3x'j1 S 180 (resource 1) 4x1 + 3x2 + 2x3 + x1 + x5 5 270 (resource...

Q:

5.2-1. Consider the following problem. Maximize Z = 8x; + 4x2 + 6.763 + 3174 + 915, subject to x1 + 2x2 + 3x3 + 31;; i: 180 (resource 1) 4x1 + 3x2 + 2x3 + x4 + x5 5 270 (resource 2) x1 + 3x2 + x4 +...

Q:

Consider the following problem Maximize z = 3x1 + x2 + 4x, subject to 6x1 + 3x2 + 5x3 S 25 3x + 4x2 + 5x, s 20 X1, X2, X3 20 After applying the simplex method, the optimal tableau is as shown below....

Q:

Metal products sells 100,000 flash drives annually to industrial distributors who resell the drives to business customers for $20 each. The distributors' margins are 30%. Metal Products' cost of...

Q:

For many years, W Ltd has owned 70% of the issued shares of X Ltd, 30% of the issued shares of Y Ltd and 80% of the issued shares of Z Ltd. All four companies are UK resident and all of the shares of...

Q:

5. Design or perform the following experiments, as directed.Set up an experiment to test for the autokinetic eff ect. Th e experiment might involve a small point of light in a large, dark room, or a...

Q:

atch the compensation objectives with their meanings. Efficiency Efficiency drop zone empty. Fairness Fairness drop zone empty. Compliance Compliance drop zone empty. Improving performance and...