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. 6 murks 6 mrks 2 marks
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. 6 murks 6 mrks 2 marks
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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Answer i ii and iii
Transcribed Image Text: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.
Write down the Linear Programming Problem.
Set up the Initial Tableau.
(i)
(ii)
(iii) Identify the entering, departing and pivot variables.
6 marks
6 murks
2 marks
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