Question $1$: Advanced Linear Programming $35\backslash \%$

Taylor Services wants to advertise its services to customers next week. The company has a budget of $\backslash (\backslash$$ $100,000\backslash )$ It can do that by placing advertisements in different mediurns. The company is considering running an advertisement on Hulu, a $5$ second advertisement on YouTube, a $15$ second advertisement on YouTube, and an advertisement on Instagram. The audience reach per ad$,$ the cost per ad$,$ and the maximum ads in each medium possible is shown in the table below.

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

$\backslash$hline Medium & Audience Reach Per Ad & Cost per ad & Maximum Ads Per Week $\backslash \backslash$

$\backslash$hline Hulu & $4000$ & $\backslash (\backslash$$ $5250\backslash )$ & $20\backslash \backslash$

$\backslash$hline YouTube $(5$ seconds$)$ & $1500$ & $\backslash (\backslash$$ $1500\backslash )$ & $5\backslash \backslash$

$\backslash$hline YouTube $(15$ seconds$)$ & $2250$ & $\backslash (\backslash$$ $3500\backslash )$ & $30\backslash \backslash$

$\backslash$hline Instagram & $3750$ & $\backslash (\backslash$$ $7500\backslash )$ & $25\backslash \backslash$

$\backslash$hline

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

The company wants to run at least $5$ ads on YouTube and wants to run at least $10$ ads on Instagram.