Question 4 - Only develop a mathematical model Allocation of Aircraft to Routes. Consider the problem of assigning aircraft to four roures according to the following data: Number of daily trips on route Aircraft type Number of aircraft 1 2 3 3 4 Capacity (passengers) 50 30 20 1 2 3 5 8 10 3 4 5 2 3 5 2 3 4 1 2 2 Daily Dumber of customers 1000 2000 900 1200 The associated costs, including the penalties for losing customers because of space unavailability, arc Operating cost ($) per trip on route 1 2 3 4 Aircraft type 1 2 3 Penalty ($) per lost customer 1000 800 600 1100 900 800 1200 1000 800 1500 1000 900 40 50 45 70 Determine the optimum allocation of aircraft to routes and determine the associated number of trips