Question: The following partial initial simplex tableau is given: x1 x2 x3 s1 s2 s3 Basis cB 5 20 25 0 0 0 2 1 0

The following partial initial simplex tableau is given: x1 x2 x3 s1 s2 s3 Basis cB 5 20 25 0 0 0 2 1 0 1 00 40 0 2 1 0 10 30 3 0 0.5 0 0 1 15 zj cj – zj

a. Complete the initial tableau.

b. Write the problem in tableau form.

c. What is the initial basis? Does this basis correspond to the origin? Explain.

d. What is the value of the objective function at this initial solution?

e. For the next iteration, which variable should enter the basis, and which variable should leave the basis?

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 Project Managers Questions!

The final Simplex tableau is as follows: X1 X2 X3 S1 S2 S3 Basis CB 2 -1 1 0 0 0 X2 -1 0 1 5 1 3 0 24 S3 0 0 02 0 1 1 7 X 2. 1 0 4 1 20 21 2 2 -1 3 1 1 0 18 9-Z; 0 0-2 -1 - 1 0 What is the...

Consider the following linear programming problem. Max 5x1 6x2 4x3 s:t: 3x1 4x2 2x3 120 x1 2x2 x3 50 x1 2x2 3x3 30 x1; x2; x3 0 The optimal simplex tableau is: x1 x2 x3 s1 s2 s3 Basis cB...

COMPLETE A SIMPLEX TABLEAU (4 MARKS) Given the following simplex tableau x1 x2 x3 s1 s2 s3 Basis cB 5 4 8 0 0 0 2/5 3/5 0 1 2/5 0 4 4/5 4/5 1 0 1/5 0 8 4/5 9/5 0 0 1/5 1 10 zj cj zj a) Complete the...

Consider the following problem formulation and one of its basis's Simplex Tableau. row z X1 X2 X3 S1 S2 A1 A2 A3 RHS 1 0 0 -2 0 1/2 -100 99 1/2 -98 1/2 100 NO 0 1 0 0 0 0 0 0 1 40 0 0 1 1/2 0 - 1/2 0...

Consider the following two consecutive (incomplete) Simplex tableaus of a maximization problem. Find the missing values and provide the optimal solution. ( solving in excel file is preferred) Kindly...

ecop3 [9:18 AM, 10/23/2021] Flo: Choose a Company's name and background/profile? What is the nature of the business or service provided by the organization? What is its history and mission? How is...

Derana Furnitures manufactures three products: Single Bed, The Dining Table, and Dining Chair. Derana Furnitures wants to maximize their profits by producing their products effectively. Each product...

Perform the primal simplex method to solve the following LPs. The slack variables are the initial basic variables. Write the basis and the simplex tableau at each iteration. Fill in the blanks of the...

TACKLE ALL PARTSP5 Problem 1 The Airfare Problem1. You are trying to get the cheapest airfare that you can. You just called up and found that the ticket home will cost $400, and it cannot be refunded...

If roller A moves to the right with a constant velocity of vA=3m/s, determine the angular velocity of the link at the instant ?=30?. Assume the counterclockwise rotation as positive. Determine the...

The flexural strength and associated volume fraction porosity for two specimens of the same ceramic material are as follows: fs (MPa) P 100............................. 0.05...

If you owned a $ 1 0 , 0 0 0 Bond with a 4 % Coupon Due in 2 5 years and current yields for 2 5 - year bonds are at 8 % , what is the market value of your bond? $ 7 , 2 3 0 . 0 9 $ 4 , 2 0 2 . 0 9 1...

Consider the data for IBM options in Problem 3. Suppose a new American-style put option on IBM is issued with a strike price of $155 and an expiration date of November 1st. a. What is the maximum...