You are trying to set up an ad campaign for a new herbal tea product. You want 3
ID: 2739565 • Letter: Y
Question
You are trying to set up an ad campaign for a new herbal tea product. You want 30 million people under 30 to see your ads, 40 million people 30-50 years old to see your ads, and 25 million people over 50 to see your ads. You can advertise on 5 TV shows. You can place at most 5 ads on a show.
The cost per 30-second ad and millions of people (in millions) in each age group that would see each 30 second ad are listed in the table below. What is the minimum cost that you can incur and still get enough people in each age group to see your ads?
Assume a fractional number of ads are permitted.
Explanation / Answer
Cost per Ad Under Age 30 Viewers Age 30-50 Viewers Over Age 50 Viewers Show1 45000 3 4 2 Show2 80000 4 6 0 Show3 1500000 12 10 8 Show4 1000000 1 4 15 Show5 300000 6 0 0 26 24 25 Required Viewers 30 40 25 Balance Viewers Required to see Ads 4 16 0 Balance under age 30 Viewers Required to see each Ad covered from show 1 & 4 Balance under age 30 - 50 Viewers Required to see 4 Ads covered from show 1
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