3.

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)