4. A candidate wishes to use a combination of radio and television advertisements in his campaign. Research has shown that each 1-minute spot on television reaches 0.09 million people, and each 1- minute spot on radio reaches 0.006 million. The candidate feels he must reach at least 2.16 million people, and he must buy a total of at least 80 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $50,000 per minute and radio costs $10,000 per minute? What is the minimum cost?

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ISBN:9780470458365
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4. A candidate wishes to use a combination of radio and television advertisements in his campaign.
Research has shown that each 1-minute spot on television reaches 0.09 million people, and each 1-
minute spot on radio reaches 0.006 million. The candidate feels he must reach at least 2.16 million
people, and he must buy a total of at least 80 minutes of advertisements. How many minutes of each
medium should be used to minimize costs if television costs $50,000 per minute and radio costs $10,000
per minute? What is the minimum cost?
Transcribed Image Text:4. A candidate wishes to use a combination of radio and television advertisements in his campaign. Research has shown that each 1-minute spot on television reaches 0.09 million people, and each 1- minute spot on radio reaches 0.006 million. The candidate feels he must reach at least 2.16 million people, and he must buy a total of at least 80 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $50,000 per minute and radio costs $10,000 per minute? What is the minimum cost?
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