A firm makes two types of furniture; chair and tables. The contribution from each product as calculated by the accounting department is OMR 10 per chair and OMR 20 per table. Both products are processed on two machine X and Y .The time required by each product and the total time available per week on each machine are as follows: of Number hours required hours available Machine Number of hours Number of required for each chair for each Table X 2 6. 24 Y 24 You are required to advise the firm as to how many chairs and/or how many Tables should it produce so that it can maximize total contribution.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A firm makes two types of furniture; chair and tables. The contribution from
each product as calculated by the accounting department is OMR 10 per chair and
OMR 20 per table. Both products are processed on two machine X and Y .The time
required by each product and the total time available per week on each machine
are as follows:
of Number
hours required hours available
Machine
Number
of
hours Number
of
required for each chair
for each Table
6
24
Y
6.
24
You are required to advise the firm as to how many chairs and/or how many
Tables should it produce so that it can maximize total contribution.
Transcribed Image Text:A firm makes two types of furniture; chair and tables. The contribution from each product as calculated by the accounting department is OMR 10 per chair and OMR 20 per table. Both products are processed on two machine X and Y .The time required by each product and the total time available per week on each machine are as follows: of Number hours required hours available Machine Number of hours Number of required for each chair for each Table 6 24 Y 6. 24 You are required to advise the firm as to how many chairs and/or how many Tables should it produce so that it can maximize total contribution.
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