The airline American Airlines operates daily flights only within the U.S. However, the administration has decided to start the transcontinental routes shown in Table 1 beginning in January of next year. Route 1 2 3 4 5 6 Table 1. Proposed transcontinental flight routes (round) Route Estimated demand New York - London 6500 New York - Paris 4300 Cincinnati - London 3200 Cincinnati - Paris 3500 Atlanta -Luxemburg 2800 Atlanta - Rome 4900 Entry $980 $823 $965 $1025 $843 $975 Estimated demand = Maximum number of passengers per week. Revenue = Average revenue per passenger (round flight) The aircraft available in the company to carry out these flights are listed below. Derived from the conditions of flight times, maneuvering times and crew needs, each aircraft can only have 3 transcontinental (round) flights per week. For planning purposes, the expected revenue is considered to be only 93% (not rounded) of the aircraft's capacity. 1 2 3 4 Table 2 Aircraft information Type Availability Airbus A380 4 Boeing 747 7 Boeing 777 MD-11 3 Capability (passengers 840 467 365 320 10 Information about the cost per round trip is shown in the following table. The information includes costs for fuel, crew, ground equipment, and operation and maintenance costs. Annually the airline can invest $ 1,250 million in these new flights. Route 1 2 3 4 5 6 Route New York - London New York - Paris Cincinnati - London Cincinnati - Paris Atlanta -Luxemburg Atlanta - Rome Table 3 Cost per round flight Airbus 380 Boeing 747 $721,000 $408,000 $637,000 $353,000 $724,000 $398,000 $798,000 $435,000 $636,000 $351,000 $715,000 $401,000 Boeing 777 $323,000 $273,000 $324,000 $339,000 $277,000 $319,500 MD-11 $283,000 $241,000 $287,000 $302,000 $247,000 $288,000 For airports there is a restriction on the maximum number of flights that can depart per week from an airport. The receiving airports have no restriction. Airport Max Flights / week New York Cincinnati 15 Atlanta 25 20 Clearly define the variables of the problem. Formulate a model that helps the company to determine the number of transcontinental flights for each route and for each aircraft that maximizes the profits of the airline company (Consider all costs in dollars*). Use Matlab to solve the model and explain the solution obtained. . The airline American Airlines operates daily flights only within the U.S. However, the administration has decided to start the transcontinental routes shown in Table 1 beginning in January of next year. Route 1 2 3 4 5 6 Table 1. Proposed transcontinental flight routes (round) Route Estimated demand New York - London 6500 New York - Paris 4300 Cincinnati - London 3200 Cincinnati - Paris 3500 Atlanta -Luxemburg 2800 Atlanta - Rome 4900 Entry $980 $823 $965 $1025 $843 $975 Estimated demand = Maximum number of passengers per week. Revenue = Average revenue per passenger (round flight) The aircraft available in the company to carry out these flights are listed below. Derived from the conditions of flight times, maneuvering times and crew needs, each aircraft can only have 3 transcontinental (round) flights per week. For planning purposes, the expected revenue is considered to be only 93% (not rounded) of the aircraft's capacity. 1 2 3 4 Table 2 Aircraft information Type Availability Airbus A380 4 Boeing 747 7 Boeing 777 MD-11 3 Capability (passengers 840 467 365 320 10 Information about the cost per round trip is shown in the following table. The information includes costs for fuel, crew, ground equipment, and operation and maintenance costs. Annually the airline can invest $ 1,250 million in these new flights. Route 1 2 3 4 5 6 Route New York - London New York - Paris Cincinnati - London Cincinnati - Paris Atlanta -Luxemburg Atlanta - Rome Table 3 Cost per round flight Airbus 380 Boeing 747 $721,000 $408,000 $637,000 $353,000 $724,000 $398,000 $798,000 $435,000 $636,000 $351,000 $715,000 $401,000 Boeing 777 $323,000 $273,000 $324,000 $339,000 $277,000 $319,500 MD-11 $283,000 $241,000 $287,000 $302,000 $247,000 $288,000 For airports there is a restriction on the maximum number of flights that can depart per week from an airport. The receiving airports have no restriction. Airport Max Flights / week New York Cincinnati 15 Atlanta 25 20 Clearly define the variables of the problem. Formulate a model that helps the company to determine the number of transcontinental flights for each route and for each aircraft that maximizes the profits of the airline company (Consider all costs in dollars*). Use Matlab to solve the model and explain the solution obtained