PART 1: Application and Analysis (Direction: Read the following questions carefully and solve it in your answer booklet
Posted: Sat Feb 26, 2022 10:54 am
- Part 1 Application And Analysis Direction Read The Following Questions Carefully And Solve It In Your Answer Booklet 1 (149.19 KiB) Viewed 27 times
PART 1: Application and Analysis (Direction: Read the following questions carefully and solve it in your answer booklet by showing all the required steps.) 1. 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. (15 marks) A. Formulate an appropriate LPP for the above scenario to find the maximum profit.(5 marks) ( Marking Scheme 2 marks for objective function 2 marks for the constraints and 1 marks for the non- negativity constraints) B. Solve the LPP using graphical method to find the optimal solution.(8 marks) (Marking Scheme: 2 marks for finding the points for drawing lines: 2 marks for drawing graph: 1 mark for feasible region: 1 mark for finding optimal values 1 mark for finding the unknown point using elimination method and 1 marks final solution C. How many TABLE and CHAIR should they make to get maximum profit?( 2 marks)