SOLUTION: The XYZ Furniture Company produces chairs and tables from two resources, labour and wood. The company has 80 hours of labour and 36 pounds of wood available each day. Demand for ch

Question 1138594: The XYZ Furniture Company produces chairs and tables from two resources, labour and wood. The company has 80 hours of labour and 36 pounds of wood available each day. Demand for chairs is limited to 6 per day, Each chair requires 8 hours of labour and 2 pounds of wood, whereas a table requires 10 hours of labour and 6 pounds of wood. The profit derived from each chair is K400 and from each table is K100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.
i.Formulate a linear programming model for this problem
ii.Solve the model by using graphical method.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
In this forum, we regularly receive the problems like this one to be solved graphically by the Linear Programming methods.

The number of such problems is about some tens (20 - 30).

I took care about such people / students / visitors and prepared the lesson
    - Solving minimax problems by the Linear Programming method
from which everybody can learn on how to do it.

I also prepared the list of links to the solved problems in the archive to this forum.

This list is here (from latest to former)

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1137172.html
https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1136382.html
https://www.algebra.com/algebra/homework/Coordinate-system/Coordinate-system.faq.question.1134444.html
https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1131906.html
https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1131043.html
https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1129285.html
https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1128383.html
https://www.algebra.com/algebra/homework/playground/test.faq.question.1112482.html
https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1123217.html
https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1102103.html

Thus you have EVERYTHING to learn the subject from and to solve your problem on your own.

                    H a p p y   l e a r n i n g ! !

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