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A furniture store manufactures 2 products; tables (X) and chairs (Y): the production process for each...

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Advance Math

A furniture store manufactures 2 products; tables (X) and chairs(Y): the production process for each require a certain number oflabor hours in the carpentry department and a certain number oflabor hours in the painting department.
Each table takes 3 hours of carpentry work and 2 hours of paintingwork.
Each chair requires 4 hours of carpentry and 1 hour ofpainting.
During the current month, 2,400 hours of carpentry time and 1,000hours of painting time are available.
The marketing department wants no more than 450 new chairs thismonth because of existing large inventory of chairs. However, themarketing department wants to make at least 100 tables this monthbecause of low inventory of tables.
Each table brings in $7 profit and each chair yields $5profit.
The manger wants to determine the best possible combinations oftables (X) and chairs (Y) to manufacture this month in order toearn maximum profit.
Formulate this situation as a LP problem and find an optimumsolution (i.e., the best combination of X and Y)
i) by trial and error method, and
ii) graphically.
Do not forget to identify the feasible region when you draw theseconstraints on a graph.

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