The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the firm has and p is the profit. 1. Find the maximum profit made by the company.

2. How many clients are necessary to reach the profit outlined in part one?

Step-by-step explanation:

The function is incorrect as its roots are imaginary .

So, the correct function is

Differentiating with respect to we get

Equating with zero

Double derivative of the function

So, the function is maximum at

Maximum profit is

The maximum profit made by the company is

The number of clients required to make the maximum profit is .

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