A company has a $$100,000$ promotion budget and is considering three media channels with the following data: Channel A: $$20$ CPM $($cost per thousand impressions$),$ estimated reach of $4,000,000$ impressions. Channel B: $$25$ CPM$,$ estimated reach of $3,000,000$ impressions. Channel C: $$15$ CPM$,$ estimated reach of $5,000,000$ impressions. If the company wants to maximize reach while staying within budget, which combination of channels should it choose?

Allocate the entire budget to Channel C$.$

Split the budget equally among Channels A and C$.$

Allocate $$60,000$ to Channel C and $$40,000$ to Channel A$.$

Allocate $$50,000$ each to Channels B and C$.$