MATH 1325 Revenue and Cost Functions Assignment

MATH 1325 Revenue and Cost Functions Assignment

MATH 1325 Quiz/Project

Instruction: Please write your answers with all detailed calculations for each question on

separate sheets of paper then scan (or take picture) and submit to eCampus under the

same folder (Do not send them to my email).

A company’s total cost, in millions of dollars, is given by 𝐶(𝑡) = 120 − 80𝑒 −𝑡 where t = time in years. Find the marginal cost when t = 4.

𝑃(𝑥) = −𝑥 3 + 12𝑥 2 − 36𝑥 + 400, 𝑥 ≥ 3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred

thousands of tires that must be sold to maximize profit.

Given the revenue and cost functions 𝑅 = 28𝑥 − 0.3𝑥2 and 𝐶 = 5𝑥 + 9, where 𝑥 is the daily production, find the rate of change of profit with respect to time when 10 units are produced

and the rate of change of production is 4 units per day.

Find the producers’ surplus at a price level of �̅� = $30 for the price-supply equation 𝑝 = 𝑆(𝑥) = 14 + 0.0004𝑥 2

Required Resources Read/review the following resources for this activity:

Textbook: Chapters 3, 4

Lesson

Minimum of 1 scholarly source (in addition to the textbook)

Initial Post Instructions St. Augustine in the 5th Century held that we are free to make choices in life. This is the idea of free will. It may seem at first glance odd for a religious thinker to say that we have free will. After all, if God exists, then God created all things. God knows already what we will do. God can cause anything to occur. If we cause things to occur, that seems to be a limitation on the power of God and not make God all-powerful.

There are also religion traditions that say that we have no free will. There are some theologians in Islam who seem to suggest that is true. In order for this line of reasoning to hold true, one would need to believe free will is an illusion and that we have no control over how we live our lives, but rather that we are puppets moving and acting due to God’s will and the powers of destiny and fate. And if this then in the case, how can we possibly be responsible for our actions?

The considerations above show us to what degree our religious beliefs can shape us. For instance, someone who believes in free will may experience way more guilt than someone who believes we don’t have free will and thus aren’t responsible for the choices (and consequences) of the actions we take.

Personal struggles with religion and ethics occur in many places, including in the healthcare arena. Consider the following: You are a nurse in a hospital. A 12-year-old was brought to the hospital by an ambulance. The parents have just arrived at the hospital. This 12-year-old has lost a large amount of blood and requires a transfusion. The parents happen to be members of a religion that believes that blood transfusions are immoral.

They want to remove the child from the hospital and prevent the transfusion even if it means the death of the child. You have to decide whether or not you will participate in an action that violates the will of the parents and aid in providing blood for the child. If you choose to participate, and even if you are able to legally justify it, you have to think about the distress you are creating for the parents. If you refuse to aid here, you may be subject to retaliation from the hospital. What is the moral thing for the nurse to do here?

Initial Post Instructions For the initial post, address the following questions:

What would a divine command ethicist say is the moral thing to do here? Why would they say that? Do you agree with the divine command ethics? Why or why not?

Evaluate what a natural law ethicist would say is right to do. Do you agree with them? Why or why not?

Given what you said are the right things to do, what would an emotivist say about your positions and judgments? What role does subjectivity play here in determining what is ethical?

Writing Requirements

Minimum of 2 sources cited (assigned readings/online lessons and an outside scholarly source)

APA format for in-text citations and list of references

Name __________________________

Module 5

Post-Lab Assignment

Short Answer (35 points)

Answer the following questions based on material covered in this module. (5 points each.)

(You must use complete sentences when answering each question.

1-point deduction per question not answered in complete sentences.)

Based on your data from the simulation, what is the connection between the number of electron groups and the electron geometry?

Describe how the electron geometry changes if you replace a bond with a lone pair. (Does it change?)

Describe how the molecule geometry changes if you replace a bond with a lone pair.

How is the bent geometry related to the trigonal planar geometry?

How is the bent geometry related to the tetrahedral geometry?

How is the trigonal pyramidal geometry related to the tetrahedral geometry?

For the molecules in the last part of the assignment, how close were your predictions? Explain.

 

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