A KAYAK Company which manufactures canoes employs 120 employees, each of whom working 30 hours per week. Half of them work in the carpenter department, 20 persons in the plastics department, and the rest of them at the completion department. The company manufactures the simple canoes with net unit profit RM70 and the luxury canoes with corresponding profit RM100. A simple canoe requires 4.5 hours in the carpenter department and 2 hours in each of the other two departments. The working hours for each luxury canoe are 5, 1 and 4 at the carpenter department, plastics department and completion department, respectively. Marketing calculations have shown that not more than 2/3 of the total number of the canoes should be luxurious. Formulate the linear programming model so that the company can maximize its overall net profit.