Chapter 6.3, Problem 8P

a.

Explanation of Solution

Range of values

• Let ${\text{x}}_{\text{1}}$ be the number of comedy ads and ${\text{x}}_{\text{2}}$ be the number of football ads purchased

b.

Explanation of Solution

Range of values

• Let ${\text{x}}_{\text{1}}$ be the number of comedy ads and ${\text{x}}_{\text{2}}$ be the number of football ads purchased.
• The right hand side of each constraint is nonnegative if each variable has a nonpositive coefficient in row 0.
• Let High Income Men (HIM) and High Income Women (HIW) be the two constraints.
• Thus the current basis remains feasible for $\text{4,000,000<=HIW<=80,000,000}$

c.

Explanation of Solution

Dorian Auto problem

“Yes”, Dorian advertise on the news program if an ad on a news program costs $110,000 and reaches 12 million HIW and 7 million HIM.

Reason

• Let ${\text{x}}_{\text{1}}$ be the number of comedy ads and ${\text{x}}_{\text{2}}$ be the number of football ads purchased.
• The right hand side of each constraint is nonnegative if each variable has a nonpositive coefficient in row 0