P(x) = 2 ln(2x + 1) + 2x − x2 − 0.3 where x is the number of IT consultants (in hundreds) in its employ. Your responsibilities under this company are: 1. To find the number of consultants the firm should hire so that its profit is maximized. 2. To find the maximum profit.

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ISBN:9780470458365
Author:Erwin Kreyszig
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You have been hired as a business analyst for Seko, an information technology company.
The manager of Seko estimates that the annual profit of the company, in millions of dollars, is
given by
P(x) = 2 ln(2x + 1) + 2x − x2 − 0.3
where x is the number of IT consultants (in hundreds) in its employ.

Your responsibilities under this company are:
1. To find the number of consultants the firm should hire so that its profit is maximized.
2. To find the maximum profit.

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