$\backslash$begin$\{$tabular$\}\{|$lrrr$|\}$

$\backslash$hline Constraint & Television & Radio & Online $\backslash \backslash$

$\backslash$hline Audience per advertisement & $110,000$ & $18,000$ & $30,000\backslash \backslash$

Cost per advertisement & $\backslash (\backslash$$ $1,500\backslash )$ & $\backslash (\backslash$$ $250\backslash )$ & $\backslash (\backslash$$ $500\backslash )\backslash \backslash$

Maximum medis usage & $11$ & $21$ & $13\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$($a$)$ If the promotional budget is limited to $\backslash (\backslash$$ $23,000\backslash ),$ how many commercial mesiages should be rus on each medium to maximize total audience contact? If your arawer is zero enter $"0".$

$\backslash$begin$\{$tabular$\}\{|$lr$|\}$

$\backslash$hline Advertisement Alternatives & $\backslash$begin$\{$tabular$\}\{$c$\}$

No of commercial $\backslash \backslash$

messages

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline Television & $\backslash \backslash$

Rasio & $\backslash \backslash$

Online & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

What is the alocation of the budget among the three medis?

$\backslash$begin$\{$tabular$\}\{|$l$|\}$

$\backslash$hline Advertisement Alternatives Budget Allocation $\backslash \backslash$

$\backslash$hline Television $\backslash \backslash$

Rasio $\backslash \backslash$

Online $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

What is the total audience reached?

$($b$)$ By how much would audience contact increase if an extra $\backslash (\backslash$$ $100\backslash )$ were allocated to the promotional budpet? Round your answer to the nearest whele number. Increase in audience coverage of approximately