Produces a commercial product

Assignment Help Business Management
Reference no: EM131350209

Again, like we have been doing, at the end of the discussion, you will be asked to craft a 150 word reflection on what you have learned through this conversation and post it to the Reflection Journal. Dive in, be active, help out your classmates when they need it, and, because we could never say this enough, enjoy the conversation.

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?

Reference no: EM131350209

Entries in this threaded discussion

After completing the EQ Appraisal and studying your results report, refer to the discussion questions on pages 247 -250 in the EQ 2.0 book. Consider these as the basis for y

Enormous amount of money

Observing that Kodak is making an enormous amount of money from their film salesand the owners of Kodak are becoming very rich, the government imposes a tax of $0.50per roll

How did or will body language impact your perception

Reflect on a lesson that you learned from the ineffective leadership experience which you could apply to similar situations in the future. How did or will body language impa

Discuss ethical implication of leaders role in socialization

Discuss the ethical implications of a leader's role in the socialization of new hires into the preexisting culture of an organization. What impact does socialization have on

Accepting the concept of corporate social responsibility

Task 1 - Individual Essay (1000 words) Topic: "Discuss critically the extent to which you accept the concept of corporate social responsibility" Student required to write a

Importance of corporate culture to various stakeholders

Importance of Corporate Culture To Various Stakeholders - Why should corporate culture and the potential of ethical and legal issues be of concern to a job candidate?

Appropriate leadership approach to succeed in project

The project manager's leadership has been identified as one of the most important critical success factors (CSFs) in project management? What do you think is the most approp

Wanting to save the currency

Wanting to save the currency she would have to pay for a commission Marsha asks her friend Howard to check on the Internet as well as see if he can find a five-day cruise to

Reviews

Write a Review

 
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd