QUESTION 1 Special Assignment PDRM is going to purchase new patrol cars. There are three types of patrol cars considered, Mitsubishi Lancer, Mitsubishi Pajero and Proton Inpira. The information on purchase price, the maintenance costs per year, resale value and vehicle usage are listed in the table below. Type Purchase Price Cost of Vehicle Usage Maintenance Per Year for the Mitsubishi Lancer next 10 years Highway Patrol and RM110,000 RM5,000 Normal Patrol Mitsubishi Pajero Highway Patrol and VIP RM140,000 RM4,000 Escort Proton Inspira and RM70,000 Highway Patrol RM8,000 Normal Patrol PDRM needs at least 30 new patrol cars for highway patrol and at least 50 patrol cars for normal patrol and no more than 20 patrol cars for VIP escort. PDRM is given a budget of RM30 million for this purchase. PDRM is instructed by Treasury Department Malaysia to purchase the minimum quantity of vehicles that will fulfill its needs within the given budget. These new patrol fleet is only used for 10 years. PDRM will like to make sure that the yearly maintenance fees do not exceed RM500,000 per year. Formulate using linear programming to solve this problem. Solve the problem using QM for Windows and interpret the results. (20 marks) QUESTION 2 Refer to Question 1, PDRM would like to set the following goals according to its importance in this purchase of new patrol cars. 1. Total purchase does not exceed RM10 million. 11. The yearly maintenance cost is not more than RM500,000 per year. PDRM's needs for each type of usage will be fulfilled - 30 cars for highway patrolling, 50 cars for normal patrolling and 20 cars for VIP escort. Formulate using goal programming to achieve the goals of PDRM. Solve the problem using QM for Windows and interpret the results. (20 marks)