Answer both of the following questions

(a) Formulate an integer programming problem to maximize the company's profit. Clearly write the decision variables, the objective and the constraintsb)

(b)Suppose that for technical reasons, the company decided to use either M-2 or M-3 but not both. Update your formulation to account for this

Canadian Aviation company organizes summer charter flights from Montreal to London. The company uses three types of aircraft whose operating cost and capacities are shown below. The company has a crew of only 140 for the entire mission. Thirty-two hundred students signed up for the summer flights, each paying $110. All students must be flown. The company wants to find how many flights of each type to use in order to maximize profit