(a) CJ Firm produces chairs and tables. Each chair requires 3 hours of assembly and 1 hour of finishing. Each table requires 2 hours of assembly and 2 hours of finishing. The company has available 66 hours of assembling time and 58 hours of finishing time each week. The company can sell all the chairs and tables that are produced. The profits of each chair and table are RM30 and RM24 respectively. (i) Formulate the problem as a linear programming model. (6 marks)

(ii) Find the number of items of each product that should be produced per week to maximize profit. Solve the problem graphically. (12 marks)

(iii) What is the maximum profit? (3 marks) (b) Explain Two (2) assumptions of linear programming. (4 marks)