Bonus Case (Optional): Porter This is an optional bonus case. Jf_your attempt at solving it is better thon Vour lowest assigned case study. yuz grade will be ad ustEd accordingly. Porter Airlines flies several daily commuter flights to and from Toronto, Montreal, and Ottawa. They are interested in reviewing their flight scheduling. Flight Number 1357 8322 5903 1207 1671 5671 7133 4166 3842 1537 9320 3042 3752 9677 6212 6811 91 gs 8350 9480 7555 9041 7539 2710 Origin Montreal Montreal Montreal Montreal Montreal Montreal Montreal Ottawa Ottawa Ottawa Ottawa Ottawa Ottawa Ottawa Ottawa Toronto Toronto Toronto Toronto Toronto Toronto Toronto Toronto Destination Ottawa Ottawa Toronto Toronto Ottawa Toronto Ottawa Montreal Montreal To nanto Montreal M ontreal Montreal Toronto Montreal Ottawa Ottawa Ottawa Montreal Ottawa Montreal Montreal Montreal Departs 12.5 13.5 13.5 16.5 16.5 18.5 12.5 13.5 14.5 Arrives Revenue 10.5 14.5 13.5 14.5 19.5 15.5 15.5 15.5 16.5 Porter owns 4 planes (and is not planning on purchasing any more). There's a fixed cost of $1,500 per plan per day that files any flights. However, a plant that is not used does not incur this fixed cost. We can assume that there is no required delav time on the ground (i.e. a flight can arrive at 10, and then leave at 10). Times are measured on a 24 clock and measured to the fraction of an hour Anv plane that arrives in a city after its last flight of the day can sit overnight in that city, or for an additional cost of $500, it can be flown empty to another city overnight. The company's objective is to maximize its net profit per day, which equals net revenues from flights flown, minus fixed costs of flying plans, minus am,' overnight costs of flying an empty plane. Develop and implement a network LP model for scheduling the airline's flights, given its available aircraft in order to maximize net profit from the flights