A candidate wishes to use a combination of radio and television advertisements in her campaign. Research has

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A candidate wishes to use a combination of radio and television advertisements in her 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 she must reach at least 2.16 million people, and she must buy a total of at least 80 minutes of advertisements.

(a) Write the inequalities that relate the number of each type of advertising to her needs.

(b) Graph the region determined by these constraint inequalities.

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