### Question Description

Discussion "Mathematical Ethics"

Mathematical Ethics

XYZ Corporation produces a commercial product that is in great demand by consumers on a national basis. Unfortunately, near the plant where it is produced there is a large population of dove-tail turtles who are adversely affected by contaminants from the plant. XYZ has a filtering process that is expensive and any increase in filtering effectiveness reduces their profit. Dove tailed turtles are not a protected species hence there are no environmental rules regulating XYZ’s level of contaminants.

Clearly, no filtering at all would maximize XYZ’s profitability. However, a local environmental group monitors XYZ’s contaminant level and maintains a website showing the percentage mortality rate of the dove tailed turtles due to XYZ’s contaminants. XYZ has noticed that the higher the mortality percentage, the less items are bought and the lower their profitability.

Their Marketing Department and Research Group has established the following Revenue Function, R(x), as a function of Dove Tail Turtle Mortality expressed as decimal between 0 to 1, representing mortality rate:

R(x) = 1 + x – x2; 0 < x ? 1

R(x) is expressed in billions of dollars and represents the revenue generated. Since XYZ has fixed operating costs of one billion dollars, the profit function, P(x) is given by P(x) = R(x) – 1.

You have been hired as the mathematical consultant for XYZ Corporation. They have asked you to help them optimize their profit and request that you:

1. Find the optimal dove-tail turtle mortality rate percentage that will maximize revenue.

2. State what the maximum profit will be.

**Discussion:**

As a successful mathematics student, you easily do the math and come up with the solution. Please include the answers to questions 1 and 2 in your discussion post.

But don’t collect your money yet. You also understand that mathematics is a human activity and carries with it a certain social responsibility. Are there any ethical considerations that you would bring to your client’s attention?

**References**

Henrich, D. (2011, November 2). Mathematical ethics: A problem based approach.

*University of Toronto.* Retrieved from

http://www.fields.utoronto.ca/programs/mathed/meetings/minutes/12-13/HenrichSept2012.pdf

## Final Answer

Your assignment is complete, if you have any questions, shoot me a message and hang tight I'll assist you in a few minutes or asap. 😊

Running Header: MATHEMATICAL ETHICS

Institutional name

Name

Date

1

MATHEMATICAL ETHICS

1. R(X) = 1+X-X^2

R’(X) = 0+1-2X =0

R’(X) = 1-2X =0

1-2X=0

X=1/2

Optimal value of X ...

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors