WCBN-TV, a TV broadcasting company, wishes to plan the schedule of TV shows for next Wednesday evening. Of the 9 possible 30-minute shows listed in the table below, exactly 5 shows must be scheduled for the time period from 8:00pm to 10:30pm. WCBN-TV wishes to determine a revenue-maximizing schedule of TV shows; however, they must be mindful of the following considerations: 1. There must be at least as many shows scheduled that are categorised as public interest as there are shows scheduled that are categorised as containing violence. 2. If Focus on Science is scheduled, then either Jake or L. A. Law (or both) must be scheduled as well. 3. WCBN-TV cannot schedule both Focus on Science and Urban Action for Education, as both of these shows are considered a bit on the dry side. TV Show Advertising revenue ($m) Public interest Contains violence Comedy Drama Cheers 6 yes yes Dynasty 10 yes yes L. A. Law 9 yes yes yes Jake 4 yes yes Bob Newhart 5 yes News Special 2 yes yes Focus on Science 6 yes yes Magnificent Beaches 7 yes Urban Action for Education 8 yes (i) Construct a binary optimisation model that solves WCBN-TVs scheduling problem. (ii) Use Excel to determine the optimal solution. What is the revenue-maximizing TV schedule?