A company's market research department recommends the manufacture and marketing of a new headphone set for iPhone.
After suitable test marketing, the research department presents the following demand function...
p = 66 - 2q
The financial department provides the cost function below...
C(q) = 82 + 18q
where $82 is the estimate of fixed costs (tooling and overhead) and $18 is the estimate of marginal costs per headphone set (materials, labor, marketing, transportation, storage, etc.).
Find the maximum profit.
(Round your answer to 2 decimal places, if necessary)
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