Question: Exercise 1.1. Simplex. Use the simplex method to solve the problem max z = 3x1 + 5x2, s.t. X1 0, X2 > 0 1. Write

Exercise 1.1. Simplex. Use the simplex method to

Exercise 1.1. Simplex. Use the simplex method to solve the problem max z = 3x1 + 5x2, s.t. X1 0, X2 > 0 1. Write the problem in standard form. 2. Convert the problem to a tableau format. 3. Perform simplex pivots until optimality. 4. Report the optimal solution Hint: You can always check your solution graphically or with Excel

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!

please give clear step by step explanation and do not copy other answer since they are not correct, thank you, i will give you a thumb up 2. Consider the following LP problem: max = z = 3x1 + 2x2 +...

Work through the matrix form of the simplex method step by step to solve the following LP problem. Maximize Z= 3X1 + 5X2 S.T. X1

Solve the following linear program using the graphical method. In addition, what if the problem is a minimization linear program? max z= 3x1 + 5x_2 s.t. 3x_1 + 2x_2 36 3x_1 + 5x_2 45 x_1 , x_2 0 2)...

Given the following linear programming problem, solve it through the graphical method and fill in the blanks. IMPORTANT: Use values with up to 2 decimal places when they are more than two leg3.75,...

Exercise 1. Please use the Two-Phase method to solve the below LP max z=2x1 + 3.22 s.t. 2x1 +3.02 > 6 x1 + x2 5 X1, X2 > 0 a) Write the LP in standard form. b) Write the Phase I LP of this problem....

1. Consider the following LP problem. max z = 4x1 + x2 s.t. 3x1 + x2 = 3 4x1 + 3x2 6 x1 + 2x2 4 x1, x2 0 (a) (5 points) Write it in the standard from. (b) (20 points) Using Big-M method, construct...

Consider the following linear program. max z = 3 x 1 + 4 x 2 + x 3 + 2 x 4 + 3 x 5 s . t . x 1 + x 2 + x 3 x 4 + 2 x 5 = 3 0 x 1 , x 2 , x 3 , x 4 , x 5 > = 0 ( a )...

+ Problem 6. (12 marks in total) Consider the following linear programming problem: Max Z=3x, +5x2 +6X3 s.t. 2x, + x2 + x2 54 X, +2x2 + x2 54 X, +x2 + 2x, 54 X, + x2 + x2 53 X1, X2, X, 20 a. (1 mark)...

23. Consider the linear programming problem shown below: Maximize z = 3x1 + 5x2 s.t 2x1 + 5x2 0 Xi and X2 are integers The standard form of the given LP problem is: Maximize z = 3x1 + 5x2 s.t 2X1 +...

Consider the following LP problem. max z = 4x1 + x2 s.t. 3x1 + x2 = 3 4x1 + 3x2 6 x1 + 2x2 4 x1, x2 0 (a) (5 points) Write it in the standard from. (b) (20 points) Using Big-M method, construct the...

What are CASE tools? How are they used? How do CASE tools create documentation for AISs? If you were a systems analyst, would you use a CASE tool?

From discussions with your broker, you have determined that the expected inflation premium is 1.35 percent next year, 1.50 percent in year 2, 1.75 percent in year 3, and 2.00 percent in year 4 and...

5. The density of aluminium is 2.7 g/cm, while the density of lead is 11.3 g/cm. Approximately how many times heavier will a block of lead be than a similar-shaped block of aluminium? (a) 2 times (b)...

HR leaders and senior executives at a computer peripherals manufacturer want to create a selection process that enables them to successfully hire high-performing employees and achieve their diversity...