An automobile manufacturer builds compact cars, sport utility vehicles and luxur

Question

An automobile manufacturer builds compact cars, sport utility vehicles and luxury vehicles. Company managers want to run a television campaign to advertise their vehicles to high-income wage earners. They want to run televised ads on business news programs where they believe they can reach at least 8 million women and 5 million men. At the same time, they want to run televised ads on sports events where they believe they can target at least 3 million women and 10 million men. Managers believe they need to reach at least 32 million women and 28 million men to be successful. Each televised ad run on business news programs typically costs $12,000 per one-minute spot compared to $23,000 per one-minute spot on sports events. Using x to represent the number of ads televised on business news programs and y to represent the number of ads run on sports events, state the constraint on the number of women targeted during their ad campaign.

Explanation / Answer

For Televison Ad on Business Program (x)

8 Million Women

5 million men

For Television Ad on Sport Event (Y)

3 Million Women

10 million men

Minimum No of Women required = 32 Million

Constraint on Number of Women

8x + 3Y> 32

Answer

8x + 3Y> 32

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