Question: Direction: Read the question carefully and solve it in your answer booklet by showing all the required steps. 1. A furniture company makes TABLE and

Direction: Read the question carefully and solve it in your answer booklet by showing all the required steps. 1. A furniture company makes TABLE and CHAIR.. The company has a maximum of 110 hours of labor and 300 board feet (bf) of wood. They make a profit of $6 per TABLE and $8 per CHAIR. Each TABLE requires 30bf of wood and 5 hour for labor. Each CHAIR requires 20 bf of wood and 10 hours of labor. Read the above scenario and answer the following questions. (13 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)

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