The unit price of an item affects its supply and demand. That is, if the unit price goes up, the demand for the item will generally go down. A local newspaper currently has 42,000 subscribers with a quarterly charge of $40. Market research has suggested that if owners increased the price to $42, they would lose 1,000 subscribers. Assuming subscriptions are linearly related to price, apply the relative maximum and minimum values of a polynomial function to determine what price the newspaper should charge for a quarterly subscription to maximize revenue.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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3. The unit price of an item affects its supply and demand. That is, if the unit price goes up, the demand for the item will generally go down. A local newspaper currently has 42,000 subscribers with a quarterly charge of $40. Market research has suggested that if owners increased the price to $42, they would lose 1,000 subscribers. Assuming subscriptions are linearly related to price, apply the relative maximum and minimum values of a polynomial function to determine what price the newspaper should charge for a quarterly subscription to maximize revenue.

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