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.

John would like to determine a revenue$-$maximizing schedule of television shows for next Wednesday evening. However, he must be mindful of the following considerations:

Consideration $1$: Exactly $5$ television shows must be selected.

Consideration $2$: The schedule must include at least as many shows that are categorized as public interest as shows that are categorized as violent.

Consideration $3$: If John schedules "Loving Life," then he must also schedule either "Jarred" or "Cincinnati Law" $($or both$).$

Consideration $4$: John cannot schedule both "Loving Life" and "Urban Sprawl."

Consideration $5$: If John schedules more than one show in the "Violent" category, he will lose an estimated $$4$ million in advertising revenues from family$-$oriented sponsors.

Consideration $5,$ use the smallest $($in magnitude$)$ possible integer coefficient for $y.)$

Min

s$.$t$.$

Consideration $1$Consideration $1$

Correct: Your answer is correct.

Consideration $2$

Incorrect: Your answer is incorrect.

Check which variable$($s$)$ should be in your answer.

Consideration $3$

Correct: Your answer is correct.

Consideration $4$

Incorrect: Your answer is incorrect.

Consideration $5$

Incorrect: Your answer is incorrect.

$($b$)$

Solve the model formulated in part $($a$).$

$($x$1,$ x$2,$ x$3,$ x$4,$ x$5,$ x$6,$ x$7,$ x$8,$ x$9,$ y$)=$

Incorrect: Your answer is incorrect.

What is the optimal revenue $($in millions of dollars$)?$

$

$40$