Question: Dual simplex with Artificial constraints. Consider the following problem: Maximize z = 2x1 - x2 + x3 Subject to 2x1 + 3x2 - 5x3

Dual simplex with Artificial constraints. Consider the following problem:
Maximize z = 2x1 - x2 + x3
Subject to
2x1 + 3x2 - 5x3 ≥ 4
- x1 + 9x2 - x3 ≥ 3
4x1 + 6x2 + 3x3 ≤ 8
X1, x2, x3 ≥ 0

Step by Step Solution

★★★★★

3.45 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Add the constraints x 1 x 3 M The second tableau is now optimal but infeasib... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

448-M-S-L-P (1488).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider the following problem. Maximize Z = x1 + 4x2 + 2x3, Subject to and x2 ¥ 0, x3 ¥ 0. (no nonnegativity constraint for x1). (a) Reformulate this problem so all variables have...

Consider the following problem. Maximize Z = x1 + 4x2, Subject to (No lower bound constraint for x1). (a) Solve this problem graphically. (b) Reformulate this problem so that it has only two...

Consider the following problem. Minimize W = 5y1 + 4y2, Subject to and y1 ¥ 0, y2 ¥ 0. Because this primal problem has more functional constraints than variables, suppose that the simplex...

Consider the following problem: Maximize Z= 2x1 - x2 + x3, subject to X1 x2 + 3x3 = -4 and xi >0, x2 > 0, x3 > 0. Apply the big M method with surplus variable x4 and artificial variable is to convert...

Please shoe as much work as possible and NO EXCEL please Problem 2 (40%). Consider the following problem: Maximize Z= 2x1 - x2 + x3, subject to X1 x2 + 3x3 0, x2 > 0, X3 > 0. 2x1 + x2 Work through...

Consider the following problem: Maximize Z = 2x1 - x2 + x3, subject to 3.x, + x2 + x3 = 60 * x2 + 2x3 = 10 X1 + X2 X3 = 20 and x 20. X220, xz 20. Let xs, xs, and x6 denote the slack variables for the...

Consider the following problem: Maximize Z= 2x1 - x2 + x3, subject to X1 x2 + 3x3 0, x2 > 0, X3 > 0. X1 Work through the simplex method step by step in tabular form to solve the problem. Please show...

please assist QUESTION 3 Consider the following problem Maximize Z = 2x1 + x2 + x3 subject to 3x1 + x + x = 6 21x2 + 2x3 1 x1 + x2 + x3 = 2 and x3 0.x2 2 0,43 20 (a) Work through the simplex method...

Dual Simplex with Artificial Constraints. Consider the following problem: Maximize z = 2x1 - x2 + x3 subject to 2x1 + 3x2 - 5x3 4 -x1 + 9x2 - x3 3 4x1 + 6x2 + 3x3 8 x1, x2, x3 0 The starting...

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....

Shaquille operates a drug-running operation and incurred the following expenses: Salaries $200,000 Illegal kickbacks $ 32,000 Bribes to border guards $ 24,000 Cost of goods sold $300,000 Rent $...

The Gap is about to do their marketing planning for the next 12 months. They are re-looking at their magazine and radio advertising and deciding where they need to communicate their message. The Gap...

How can we distinguish between a relaxed but rational current assets investment policy and a situation where a firm has a large amount of current assets due to inefficiency? Does SKI s current assets...

The rate to use when looking up the tables to determine the selling price is the _______ rate.

3. Consider the following LP model: Maximize z = 3x) + 2X2 + 5x3 subject to 2. 1 = 30 + X5 = 60 + x6 = 20 c;- Check the optimality and feasibility of the following basic solutions: Basic variables ~...

5. Consider the following LP model: Maximize z = 5XI + 12x2 + 4x~ subject to Xl + 2X2 + X3 + X4 == 10 2XI - X2 + 3X3 == 2 (a) Identify the best solution from among the following basic feasible...

6. Consider the following LP model: Maximize z = 5XI + 2X2 + 3X3 subject to Xl + 5x2 + 2x3 :s bi Xl - 5X2 - 6X3 :s b2 Xl> X2, X3 ~ 0 The following optimal tableau corresponds to specific values of b}...

A stock has a beta of 1.55 and an expected return of 15 percent. A risk-free asset currently earns 2.2 percent. a. What is the expected return on a portfolio that is equally invested in the two...

Calculate the following ratios for Lake of Egypt Marina Inc, as of year end 2015

Suppose there are only two stocks (i.e., stock A and stock B) in the stock market. Market capitalization of stock A is twice higher than market capitalization of stock B. The correlation coefficient...