1. Graph the constraint lines and mark them clearly with the numbers 1, 2, 3, and 4 to indicate which line corresponds to which constraint. Darken the feasible region. 2. How many of each vehicle type should be bought using the graphical method? What does it cost to buy? Inform management of the resolution in a managerial statement (describe verbally the optimal solution and its cost). Note all calculations supporting your conclusion. 3. Which constraints are redundant?As part of a regional procurement procedure, the companies operations manager was asked to conduct an analysis to assist in determining the correct mix of vehicles. The management wants to purchase the automobiles for the least amount of money possible due to strict financial constraints. At least 120 tons of supplies must be able to be transported by the fleet of vehicles. The fleet of vehicles used for personnel transportation must be able to accommodate at least 250 people. Speaking with the maintenance department revealed another issue with their capacity to service several automobiles. The head of the maintenance section claims that they can only perform 90 man hours of light maintenance work per week (short inspections, fluid changes, and rapid turnaround operations) and 225 man-hours of heavy maintenance work each month (overhauls, more serious diagnostic and maintenance). The two facilities where these two sorts of maintenance are carried out are separate. Data regarding the two types of vehicles that can be purchased below: Vehicles: Type 1 Vehicles: Type 2 Cost 20,000$ 30.000$ Supply Capacity 2 tons 6 tons Personnel Capacity 10 soldiers 8 soldiers Average Light Maintenance / Vehicle 1 hour per week 2 hours per week Average Heavy Maintenance / Vehicle 5 hours per month 6 hours per month Formulation: Let X1 = The number of Type 1 vehicles to purchase X2 = The number of Type 2 vehicles to purchase Min Z = 20X1 + 30X2 ($K) S.T. 2X1 + 6X2 2 120 (Supply Required) 10X1 + 8X2 => 250 (personnel Required) 1X1 + 2X2 0 (non-negativity)