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A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) Set up the Initial Tableau. (iii) Identify the entering, departing and pivot variables.

A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) Set up the Initial Tableau. (iii) Identify the entering, departing and pivot variables.

Advanced Engineering Mathematics
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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This question MUST be done MANUALLY using the Simplex Method discussed in the course. A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) (iii) (iv) (v) (vi) Set up the Initial Tableau. Identify the entering, departing and pivot variables. Use the simplex method to determine the Optimal Tableau. Identify the basic and non-basic variables. Identify the optimal solution.
Transcribed Image Text:This question MUST be done MANUALLY using the Simplex Method discussed in the course. A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) (iii) (iv) (v) (vi) Set up the Initial Tableau. Identify the entering, departing and pivot variables. Use the simplex method to determine the Optimal Tableau. Identify the basic and non-basic variables. Identify the optimal solution.
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This question MUST be done MANUALLY using the Simplex Method discussed in the course. A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) (iii) (iv) (v) (vi) Set up the Initial Tableau. Identify the entering, departing and pivot variables. Use the simplex method to determine the Optimal Tableau. Identify the basic and non-basic variables. Identify the optimal solution.
Transcribed Image Text:This question MUST be done MANUALLY using the Simplex Method discussed in the course. A company has two categories of workers (Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14 and $8 per hour, respectively. In department 2, Grade A and Grade B workers are paid $9 and $7.25 per hour. The company requires at least 90 workers in department 1 and at least 60 in the department 2. In department 1, at least twice as many Grade B workers must be employed as Grade A workers. In department 2, at least twice as many Grade A must be employed as Grade B workers. (i) Write down the Linear Programming Problem. (ii) (iii) (iv) (v) (vi) Set up the Initial Tableau. Identify the entering, departing and pivot variables. Use the simplex method to determine the Optimal Tableau. Identify the basic and non-basic variables. Identify the optimal solution.
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