### Linear Programming Tableau**Problem 3:**Given the initial tableau in a standard linear programming problem, determine which column and row you should pivot on. Circle the pivot row and column. Perform the operations to create the next tableau (with cleared column for the new active variable).#### Initial Tableau:| | x | y | s1 | s2 | s3 | p ||-------|----|----|----|----|----|---|| **s1** | 1 | 2 | -1 | 0 | 0 | 6 || **s2** | -1 | 1 | 0 | 1 | 0 | 4 || **s3** | 1 | 1 | 0 | 0 | 1 | 4 || | -2 | -1 | 0 | 0 | 1 | 0 |Note:- In a linear programming tableau, the bottom row (except for the rightmost entry) usually represents the negative of the coefficients of the objective function.- The rightmost column represents the constants in the constraints.- The tableau is updated by choosing a pivot element, which is in the column with the most negative value in the bottom row and the row that provides the minimum positive ratio of the rightmost column to the pivot column entry.

Answered: Image /qna-images/answer/ce499628-b9b9-4f21-968f-ab39b041a65c.jpg

Answered: 3. Given the initial tableau in a…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Which of the following is not true about linear programming? The value of the variables can be negative. The objective is either to maximize or to minimize. The relationship between variables can be expressed in equations or inequalities. The actions are constrained.
Linear Programming A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods F1 and F2 are available. Food F1, cost Php4 per unit food and F2 costs Php6 per unit. One unit of food F1 contains 3 units of vitamin A and 4 units of minerals. One unit of food F2, contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consist of mixture of these two foods and meets the minimal nutritional requirements.
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A furniture factory receives a daily shipment of 50 boards of oak and 60 boards of maple, which they use to make cabinets and tables. Each cabinet uses two oak boards and two maple boards and yields a profit of $80. Each table uses two oak boards and three maple boards and yields a profit of $100. How many cabinets and tables should the factory make daily to maximize profit? Number of cabinets _______ Number of tables _________ max. profit ___________
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