Question: 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
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 : pm to : pm 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 indicates that the show is in the corresponding category and a indicates it is not.
Number Show Revenue $ millions Public Interest Violent Comedy Drama
Sam's Place $
Texas Oil $
Cincinnati Law $
Jarred $
Bob & Mary $
Chainsaw $
Loving Life $
Islanders $
Urban Sprawl $
John would like to determine a revenuemaximizing schedule of television shows for next Wednesday evening. However, he must be mindful of the following considerations:
Consideration : Exactly television shows must be selected.
Consideration : The schedule must include at least as many shows that are categorized as public interest as shows that are categorized as violent.
Consideration : If John schedules "Loving Life," then he must also schedule either "Jarred" or "Cincinnati Law" or both
Consideration : John cannot schedule both "Loving Life" and "Urban Sprawl."
Consideration : If John schedules more than one show in the "Violent" category, he will lose an estimated $ million in advertising revenues from familyoriented sponsors.
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