Chapter $3)$:

min z $50$x$1100$x$2$

s$.$t$.7$x$12$x$228($HIW$)$

s$.$t$.2$x$112$x$224($HIM$)$

x$1,$ x$20$

$($x$1$ number of comedy ads, and x$2$ number of football

ads$).$ The optimal tableau is given in Table $13.$ Remember

that for a min problem, a tableau is optimal if and only if

each variable has a nonpositive coefficient in row $0$ and the

right$-$hand side of each constraint is nonnegative.

a Find the range of values of the cost of a comedy ad

$($currently $$50,000)$ for which the current basis remains

optimal.

b Find the range of values of the number of required

HIW exposures $($currently $28$ million$)$ for which the current

basis remains optimal. If $40$ million HIW exposures

were required, what would be the new optimal solution?

c Suppose an ad on a news program costs $$110,000$

and reaches $12$ million HIW and $7$ million HIM. Should

Dorian advertise on the news program?