calculus

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In February, 2002, each episode of "Becker" was typically seen in 8.3 million homes, while each episode of "The Simpsons" was seen in 7.5 million homes. Your marketing services firm has been hired to promote Bald No More, Inc.'s, hair replacement process by buying at least 30 commercial spots during episodes of "Becker" and "The Simpsons". The cable company running "Becker" has quoted a price of $1700 per spot, while the cable company showing "The Simpsons" has quoted a price of $1300 per spot. Bald No More's advertising budget for TV commercials is $75000, and it would like no more than 50% of the total number of spots to appear on "The Simpsons". How many spots should you purchase on each show to reach the most homes?
You should purchase spots on "Becker" and spots on "The Simpsons".

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