You manage an airline that has three flights: - Flight 1 goes from Los Angeles to San Francisco (LAX SFO), - Flight 2 goes from Seattle to San Francisco (SEA SFO ), and - Flight 3 goes from San Francisco to Atlanta (SFO ATL). Each flight is capable of carrying 100 passengers. Because all three flights meet in SFO, passengers that originate in LAX or SEA can also travel to ATL, by having a connection. Thus, there are five possible routes that passengers can take. The prices that you charge for each route, as well as the number of passengers that want to travel on that route, are shown in the table below. Formulate and solve a linear program to make as much money as possible by transporting passengers, while obeying the capacity constraints of the planes (do not worry about fractional solutions)