Solving a Linear Programming Problem Using the Graphical Method Background: As a leading automobile manufacturer in Malaysia, your company manages multiple production and distribution facilities, where various auto parts are produced and assembled into complete vehicles. The objective is to determine the optimal production and distribution strategy that maximises profits while adhering to constraints such as production capacity, resource availability, and market demand. Problem Description: Your company operates three production plants (Plant A, Plant B, and Plant C) and four distribution centres (Centre 1, Centre 2, Centre 3, and Centre 4). The production capacities and market demands for each product at these plants and centres are as follows: Production Capacity at Plants: Plant A: 350 units of Product X, 250 units of Product Y Plant B: 450 units of Product X, 350 units of Product Y Plant C: 550 units of Product X, 300 units of Product Y Market Demand at Distribution Centers: Centre 1: 180 units of Product X, 280 units of Product Y Centre 2: 380 units of Product X, 120 units of Product Y Centre 3: 320 units of Product X, 220 units of Product Y Centre 4: 270 units of Product X, 160 units of Product Y Transportation Costs (in RM) per unit from Plants to Centers: Production Capacity at Plants: Plant A: 350 units of Product X, 250 units of Product Y Plant B: 450 units of Product X, 350 units of Product Y Plant C: 550 units of Product X, 300 units of Product Y Market Demand at Distribution Centers: Centre 1: 180 units of Product X, 280 units of Product Y Centre 2: 380 units of Product X, 120 units of Product Y Centre 3: 320 units of Product X, 220 units of Product Y Centre 4: 270 units of Product X, 160 units of Product Y Transportation Costs (in RM) per unit from Plants to Centers: Center 1 Center 2 Center 3 Center 4 Plant A 7 9 6 10 Plant B 8 11 7 5 Plant C 10 6 8 9 Objective: Minimise the total transportation cost while satisfying the demand at each distribution centre and staying within the production constraints of each plant. - Objective Function, Constraints, and Graphical Representation (__ - Feasible Region, Corner Points, and Determining the Optimal Solution - Interpretation, Conclusion, Overall Accuracy, and Correctness ( - 1