A brand has a target audience consisting of 80 million households.Television commercials for the brand are aired 40 times during a four-week period,which produces 600 gross rating points.The net coverage,or unduplicated audience,is 60 million households.The computed reach is _____.
A) 15
B) 32
C) 40
D) 75
E) 80

Question

A brand has a target audience consisting of 80 million households.Television commercials for the brand are aired 40 times during a four-week period,which produces 600 gross rating points.The net coverage,or unduplicated audience,is 60 million households.The computed reach is _____.
A) 15 
B) 32 
C) 40 
D) 75 
E) 80

Quizplus · Accepted Answer

To compute the reach, we need to use the formula:

Reach = (GRPs ÷ Frequency) x 100

Substituting the given values, we get:

Reach = (600 ÷ 40) x 100
Reach = 15 x 100
Reach = 1500

This means that the brand's commercials reached 1500% of the target audience during the four-week period. However, since the target audience consists of only 80 million households, we need to adjust the reach accordingly:

Adjusted Reach = (Reach ÷ 100) x Target Audience
Adjusted Reach = (1500 ÷ 100) x 80 million
Adjusted Reach = 24 million

Therefore, the computed reach is 24 million households. However, this is not one of the answer choices. The closest answer choice is D, 75%, which is incorrect.

A Brand Has a Target Audience Consisting of 80 Million