Question

Every $4,000 spent on cable TV will reach 160 fans while every $2,750 spent on radio ad will reach 125 fans. A stadium has established a goal of reaching 200,000 fans with it's advertisement. It has an advertising budget of $3 million. Which advertising option should the stadium use to meet the goal?

Answer 1

Neither of the two advertising options meet the goal.

Explanation:

Every $4,000 spent on cable TV will reach 160 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by
`(4000 * 200000)/(160) = 5000000` dollars i.e. $5 million which is greater than the budget of $3 million.

Now, every $2,750 spent on radio ads will reach 125 fans.

Therefore, the goal of reaching 200000 fans will be fulfilled by
`(2750 * 200000)/(125) = 4500000` dollars i.e. $4.5 million which is again greater than the budget of $3 million.

Therefore, neither of the two advertising options meet the goal. (Answer)