John White is the program scheduling manager for the television channel CCFO. John would like to plan the schedule of television shows for next Wednesday evening.The table below lists nine shows under consideration. John must select exactly five of these shows for the period from $8$:$00$ p$.$m$.$ to $10$:$30$ p$.$m$.$ next Wednesday evening. For each television show, the estimated advertising revenue $($in $ millions$)$ is provided. Furthermore, each show has been categorized into one or more of the categories "Public Interest,""Violent," "Comedy," and "Drama." In the following table, a $1$ indicates that the show is in the corresponding category and a $0$ indicates it is not.DramaGNumberShowRevenue $($$ millions$)$Public InterestViolentComedy$1$Sam's Place$$112$Texas Oil$$12$Cincinnati Law$$8$Jarred$$7$Bob & MaryS$6$Chainsaw$$4$Loving Life$59$$$8$IslandersUrban Sprawl$$10$John would like to determine a revenue$-$maximizing schedule of television shows for next Wednesday evening. However,