The following problem represents a dual maximization problem: Max Z = 2y1 + 3y2 subject to y1-y2<=2 -y1+2y2<=2 2y1+y2<=5 Answer the following questions: In the initial simplex table (1) What is the pivot row ? (2) What is the pivot column ? (3) What is the pivot variable ? (4)Determine the optimal simplex table In the optimal simplex table (5) Identify the basic variables (6) Identify the non basic variables (7) Determine the optimal value for each variable and for the objective function

The following problem represents a dual maximization problem: Max Z = 2y1 + 3y2 subject to y1-y2<=2 -y1+2y2<=2 2y1+y2<=5 Answer the following questions: In the initial simplex table (1) What is the pivot row ? (2) What is the pivot column ? (3) What is the pivot variable ? (4)Determine the optimal simplex table In the optimal simplex table (5) Identify the basic variables (6) Identify the non basic variables (7) Determine the optimal value for each variable and for the objective function

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The following problem represents a dual maximization problem:

Max Z = 2y₁ + 3y₂

subject to

y₁-y₂<=2

-y₁+2y₂<=2

2y₁+y₂<=5

Answer the following questions:

In the initial simplex table

(1) What is the pivot row ?

(2) What is the pivot column ?

(3) What is the pivot variable ?

(4)Determine the optimal simplex table

In the optimal simplex table

(5) Identify the basic variables

(6) Identify the non basic variables

(7) Determine the optimal value for each variable and for the objective function.

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