Bonus Case (Optional): Porter This is an optional bonus case. If your attempt at solving it is better than your lowest assigned case study, your grade will be adjusted 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 Origin Destination Departs Arrives Net 1357 Revenue Montreal Ottawa 8 9 25 8322 Montreal Ottawa 9.5 105 30 5903 Montreal Toronto 12.5 14 30 1207 Montreal Toronto 13.5 15 24 1671 Montreal Ottawa 13.5 14.5 5671 24 Montreal Toronto 16 17.5 35 7133 Montreal Ottawa 16.5 17.5 20 4166 Ottawa Montreal 9.5 11 28 3842 Ottawa Montreal 12 13.5 13 1537 Ottawa Toronto 13 14.5 18 9320 Ottawa Montreal 14 16 22 3042 Ottawa Montreal 16.5 18 28 3752 Ottawa Montreal 18 19.5 34 9677 Ottawa Toronto 18 20 30 6212 Ottawa Montreal 18.5 20 15 6811 Toronto Ottawa 9 11 9195 12 Toronto Ottawa 123 14 28 8350 Toronto Ottawa 13 15 13 9480 Toronto Montreal 13.5 15.5 18 7555 Toronto Ottawa 14 15.5 33 9041 Toronto Montreal 14 15.5 28 7539 Toronto Montreal 145 16.5 19 2710 Toronto Montreal 16 17.5 15 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 delay 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. Any 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 any 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