• A company which manufactures canoes employs 180 employees, each of whom works 30 hours per week. Half of them work in the carpenter department, 40 people in the plastics department, and the rest of them in the completion department. The company manufactures simple canoes with a net unit profit of € 7 and luxury canoes with corresponding profit € 10. A simple canoe requires 4.5 hours in the carpenter department and two 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 less than 1/5 and not more than 3/5 of the total number of canoes should be luxurious. Formulate the appropriate LP model