$\backslash$begin$\{$tabular$\}\{$lccc$\}$

Program & Household & Adults $18-34$ & Women $35-54\backslash (\{\}^\{6\}\backslash )\backslash \backslash$

$\backslash$hline $\backslash$hline $60$ Minutes & $6\mathrm{.}2$ & $6\mathrm{.}9$ & $5\mathrm{.}0\backslash \backslash$

The Big Bang Theory & $7\mathrm{.}4$ & $6\mathrm{.}4$ & $5\mathrm{.}8\backslash \backslash$

Dateline NBC & $4\mathrm{.}0$ & $5\mathrm{.}7$ & $4\mathrm{.}9\backslash \backslash$

NCIS New Orleans & $2\mathrm{.}8$ & $3\mathrm{.}6$ & $6\mathrm{.}7\backslash \backslash$

Meet the Press & $2\mathrm{.}8$ & $3\mathrm{.}2$ & $3\mathrm{.}9\backslash \backslash$

The Tonight Show w$/$Jimmy Fallon & $4\mathrm{.}3$ & $3\mathrm{.}6$ & $4\mathrm{.}4\backslash \backslash$

TOTAL GRP$\text{'}$s & $\backslash (\backslash$mathbf$\{27.5\}\backslash )$ & $\backslash (\backslash$mathbf$\{20.4\}^\{\backslash$mathbf$\{29.4\}\}\backslash )$ & $\backslash (\backslash$mathbf$\{-30.7\}^\{\backslash$mathbf$\{30.\}\}\backslash )$

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

$2.$ You put together a four$-$week media buy with a $62$ reach and $3\mathrm{.}2$ frequency. What are the GRP$\text{'}$s for this buy? $($Please show your work$).$

b$.$ A similar buy delivers $230$ GRPs but only a $50\backslash \%$ reach? If you reach fewer people, what do you gain? By how much?

c$.$ Which buy is better?

$3.$ You put together another four$-$week media buy, this time it delivers a $58$ reach and a $4\mathrm{.}9$ frequency. What are the GRP$\text{'}$s for this buy? $($Don$\text{'}$t forget to show your work$)$

Your assistant planner has found a four$-$week media mix that can deliver an impressive $\backslash (87\backslash \%\backslash )$ reach of your target market of men $\backslash (18-24\backslash )$ years old, with $300$ GRP$\text{'}$s$.$ What's the average frequency for this buy? $($Show work$)$

$5.$ Your assistant planner has been hard at work to give you another option to present to your client tomorrow morning. This time she's given you a four$-$week media mix that delivers an even more impressive $89\backslash \%$ reach of your target market of men $18-24$ years old, with $340$ GRP$\text{'}$s$.$ What's the average frequency for this buy? $($Show work$)$