Maximum profit. A chain store manager has been tol

1.       Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = −25x² + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?

Solve the problem above.

Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include:

1. An explanation of the basic shape and location of the graph and what it tells us about the Profit function.
2. Your solutions (it is a double question) to the above problem, making sure to include all mathematical work for both problems.
3. Discuss how and why this is important for managers to know, and explain what could happen if the ideal conditions were not met.

The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar