A Candidate Wishes to Use a Combination of Radio and Television

A candidate wishes to use a combination of radio and television advertisements in her campaign. Assume that each 1-minute spot on television reaches to 0.0765 million people and that each 1-minute spot on radio reaches to 0.0045 million. The candidate feels she must reach at least 7.425 million people, and she must buy total of at least 90 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $450 per minute and radio costs $75 per minute? Round your answer to nearest integer if necessary.

A) Minimum cost is $43,676 with 0 minutes of TV time and 97 minutes of radio time.
B) Minimum cost is $43,676 with 97 minutes of TV time and 0 minutes of radio time.
C) Minimum cost is $9,154 with 5 minutes of TV time and 92 minutes of radio time.
D) Minimum cost is $9,154 with 92 minutes of TV time and 5 minutes of radio time.
E) Minimum cost is $7,654 with 0 minutes of TV time and 102 minutes of radio time.

Correct Answer:

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