Determining the Maxium Revenue of John Deere Co Heavy Duty Tractors Essay Write at least two or three sentences to explain your answer.
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4. Assumptions: When looking at the graph, what did you assume about the data shown to make your estimate of the maximum revenue and the needed price to charge to reach this maximum revenue?Write at least two or three sentences to explain your answer.
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PART II: Maximizing Revenue (Communication and Critical Thinking – includes QL6)
Instructions:
Write a 250-400 word essay (about 3-4 paragraphs) explaining how to solve the following problem:
The John Deere Company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. If the revenue R isR(p) = – 0.5p2 + 1900p , what unit price p should be charged to maximize revenue? What is the maximum revenue? What recommendations would you give the John Deere Company? No Service
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Job opportunity surveys have consistently shown a high demand for
those who can use mathematics to model complex processes and
make informed predictions of the future. A student should be able
to demonstrate his or her level of sophistication with respect to the
key, in-demand skills of communication, quantitative literacy, and
critical thinking.
Assignment: Determine the maximum revenue for the given
companies.
Maximizing Revenue
Part 1
The marketing department at Gadgets Galore has found that
when certain iPods are sold at a price of p dollars per unit, the
revenue R (in dollars) as a function of the price p can be
demonstrated by the function given in the graph below.
800000
700000+
600000+
500000
400000+
300000+
200000+
100000+
+
20
40
60
80
100
120
140
160
Use the above graph to answer the questions stated in Part I of
the Response Sheet.
The Response Sheet was posted with this document.
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Program Level Assessment
Response Sheet
Instructions:
• Complete your work in the space below.
1) Be sure to complete both pages
2) Save the document in Word.
• When you are ready to submit your work online,
1) Go to your eCampus classroom
2) Click on Program Level Assessment (left navigation
panel)
3) Click on PLO Submission Link
4) Scroll down to ATTACH FILE
5) Click on Browse My Computer. Choose your Response
Sheet file
Then you must scroll to the bottom of that page and
click Submit
6)
PART I: Maximizing Revenue (Quantitative Literacy)
1. Interpretation: Using complete sentences, explain the
information represented by the graph.
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2. Representation and Calculations: Find the approximate
revenue when the price of the item is...
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a. p=$20
R=
R=
R=
b.p=$40
c. p=$60
d. p=$80
e. p=$100
f.p=$120
R=
R=
져
R=
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3. Application and analysis: Make a judgment and draw
appropriate conclusions based on the quantitative analysis
of the data represented in the given graph. (Hint: Does the
data lead you to the maximum point on the graph? How
does knowing this projected maximum point help this
company?) Write at least two or three sentences to
explain your answer.
Place cursor here to begin typing your response.
4. Assumptions: When looking at the graph, what did you
assume about the data shown to make your estimate of
the maximum revenue and the needed price to charge to
reach this maximum revenue? Write at least two or three
sentences to explain your answer.
Place cursor here to begin typing your response.
PART II: Maximizing Revenue (Communication and
Critical Thinking - includes QL6)
Instructions:
Write a 250 - 400 word essay (about 3 - 4 paragraphs)
explaining how to solve the following problem:
The John Deere Company has found that the revenue from
sales of heavy-duty tractors is a function of the unit price p that
it charges. If the revenue R is R(p) = – 0.5p+ 1900p, what
unit price p should be charged to maximize revenue? What is
the maximum revenue? What recommendations would you
give the John Deere Company?
Pretend you are explaining this to someone who has not taken
a math class in several years. Be sure to include the following
in your explanation:
. what the p and R represent,
• the actual value of the maximum revenue and the price
needed to achieve this value, and
• recommendations you would give the John Deere Company
(Hint: How can the data you calculated be used to benefit
the company? For example, why shouldn't the company
charge $2000 or more for each tractor?)
Use proper English and full sentences with ideas separated
into paragraphs. Spelling and grammar count!
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