E 8. A school district is buying new buses to transport students in Winnipeg . There are two types of buses available. the Bronco buses and the Neon buses. Each Bronco bus costs $18,000 ,has a capacity of 25 passengers , and will require 2 mechanical repairs per year. Each Neon bus costs $22,000, has a capacity of \"0 passengers, and will require 1 mechanical repair per year . The school district has a budget of $594,000 , and can afford at most 40 mechanical repairs per year . due to storage space , the school district cannot buy more than 32 buses. How many buses of each type should the school district buy in order to maximize the number of students that the buses can transport '! (a) Define your variables using full sentences. (bl Write the objective (Minimize or Maximize ) and the obJective function. (c) State the constraints. Do 201' End the feasible set. (6) For this linear programming problem, the corner points of the feasible set and the values of the objective function at these points are given below. Corner point Value of Objective function on corner point {0, 0) 0 (20, a) 500 (11,13) 1 815 (a, 27) I 310 The ordered pairs in the table above are in the form (Bronco , Neon ). How many buses of each type should be bought in order to meet the requirements and conditions maximizing the number of passengers? What is the maximum num ber of passengers possible