A furniture company makes TABLE and CHAIR. Each TABLE requires 3 hours for carpentry work and 2 hour for painting. Each CHAIR requires 2 hours for carpentry and 1 hour for painting. The company has a maximum of 60 hours of carpentry work and 40 hours of painting available each week, and they make a profit of $15 per TABLE and $40 per CHAIR. Read the above scenario and answer the following questions. A. Formulate an appropriate LPP for the above scenario to find the maximum profit. B. Solve the LPP using graphical method to find the optimal solution. C. How many TABLE and CHAIR should they make to get maximum profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A furniture company makes TABLE and CHAIR. Each TABLE requires 3 hours for carpentry work and 2 hour for painting. Each CHAIR requires 2 hours for carpentry and 1 hour for painting. The company has a maximum of 60 hours of carpentry work and 40 hours of painting available each week, and they make a profit of $15 per TABLE and $40 per CHAIR. Read the above scenario and answer the following questions.

A. Formulate an appropriate LPP for the above scenario to find the maximum profit.

B. Solve the LPP using graphical method to find the optimal solution.

C. How many TABLE and CHAIR should they make to get maximum profit?

 

please i need help to study. plz do all the three subparts 

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