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QM2 All Tutorial Answers (Organized by Week)
Quantitative Methods 2 (University of Melbourne)
StuDocu is not sponsored or endorsed by any college or university
QM2 All Tutorial Answers (Organized by Week)
Quantitative Methods 2 (University of Melbourne)
Downloaded by James Hudin (jameshudin@gmail.com)
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L. Kónya, 2020, Semester 2 ECON20003 - Solutions
1
1
ECON20003 – QUANTITATIVE METHODS 2 TUTORIAL 1 Solutions
Exercises for Assessment Exercise 2 One of the major measures of the quality of service provided by any organisation is the speed with which the organisation responds to customer complaints. Last year the flooring department of a large family-owned department store received 50 complaints about carpet installation. The following data represent the number of days between the receipt and resolution of these complaints. Days
54
35
29
2
1
11
126
4
35
26
12
165
27
26
74
13
5
29
22
26
33
137
28
123
14
5
110
52
94
20
19
32
152
25
27
4
27
61
36
5
10
31
29
81
13
68
110
30
31
23
a) Is the variable Days
qualitative or quantitative? If it is quantitative, is it discrete or continuous? In addition, determine its level of measurement. Explain your answers. The observations are numbers of days resulting from a counting process and the possible values are non-negative integers. Therefore, Days
is a quantitative variable, it is discrete (countable infinite). The measurement scale is ratio since there is a unit of measurement (day) and a genuine zero point (0 day). b) Launch RStudio
and close the Script
tab, if it is open at all. Create a new RStudio
project and script, and name both t1e2
. Follow similar steps than in Exercise 1. c) Enter the observations from your keyboard to an RStudio
spreadsheet and save them in an RData
file. Quit RStudio
. When prompted, save only the t1e2.R
file. Downloaded by James Hudin (jameshudin@gmail.com)
lOMoARcPSD|12574417
L. Kónya, 2020, Semester 2 ECON20003 - Solutions
1
2
Follow similar steps than in Exercise 1. d) Open your working directory. Capture your screen by taking a screenshot (
Alt
+ Print Screen
) and paste it with your answers for part (a) in a Word
document. Downloaded by James Hudin (jameshudin@gmail.com)
lOMoARcPSD|12574417
L. Kónya, 2020, Semester 2 ECON20003 – Solutions 2
1
ECON20003 – QUANTITATIVE METHODS 2 TUTORIAL 2 Solutions
Exercises for Assessment Exercise 4 In this exercise you are going to work on the data you saved in Exercise 2 last week. a) Launch RStudio
and close the Script
tab, if it is open. Create a new RStudio
project and script, and name both t2e4
. Retrieve the t1e2 data set and save it as t2e4.RData
. You can complete these tasks by following similar steps than in Exercise 2 of Tutorial 2. The variable of interest, Days
, is a discrete quantitative variable. The data set is cross-
sectional and it can be displayed graphically with, for example, a histogram or a boxplot. b) Use RStudio
to illustrate the data on Days
with a histogram. Customize your plot as you did in Exercise 3. Briefly describe what the graph tells you. A basic histogram is generated by the following command: hist(Days) In return, RStudio
displays the first plot on the next page. It is black and white and looks a bit strange because the axes are too short. However, it can be easily improved by adding a few arguments: hist(Days, xlim = c(0,200), ylim = c(0, 25), col = "yellow") The new histogram is second on the next page. These histograms show that the sample data of Day
s is heavily skewed to the right and that the second class interval, from 20 to 40, has the highest frequency, 21. Downloaded by James Hudin (jameshudin@gmail.com)
lOMoARcPSD|12574417
L. Kónya, 2020, Semester 2 ECON20003 – Solutions 2
2
Downloaded by James Hudin (jameshudin@gmail.com)
lOMoARcPSD|12574417
L. Kónya, 2020, Semester 2 ECON20003 – Solutions 2
3
c) Use RStudio
to illustrate the data on Days with a boxplot and customize your plot. Briefly describe what the graph tells you. Use the boxplot(Days)
command to develop a basic boxplot and then add a main title to it, add the Days
label to the vertical axis, and colour the rectangle on the boxplot red. A basic boxplot is generated by the boxplot(Days) command: To add the required customization, execute boxplot(Days, main = "Boxplot for Days", ylab = "Days", col = "red") The new boxplot is on the next page. It shows that in the sample of Days
, (i) the median (
Q
2
) is a bit above 25, (ii) the first quartile (
Q
1
) is about 30, (iii) the third quartile (
Q
3
) is a bit above 50, (iv) Q
1
– 1.5 (
Q
3
– Q
1
) is about zero, (v) Q
3
+ 1.5 (
Q
3
– Q
1
) is about 110, and (vi) there are a few outliers at the upper end of the range.
1
1
Observations that differ greatly from the majority of the data set in the sense that they are either smaller than Q
1
– 1.5 (
Q
3
– Q
1
) or larger than Q
3
+ 1.5 (
Q
3
– Q
1
) are considered to be outliers. Downloaded by James Hudin (jameshudin@gmail.com)
lOMoARcPSD|12574417
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Related Questions
Ike's Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding
production to two or even three factories. The following table shows the company's short-run average total cost each month for various levels of
production if it uses one, two, or three factories. (Note: Qequals the total quantity of bikes produced by all factories.)
Number of Factories Q = 100
440
1
2
3
580
720
Q = 200
320
400
480
Average Total Cost
(Dollars per bike)
Q = 300 Q = 400
240
320
240
320
240
240
Q
= 500
480
400
320
Q = 600
720
580
440
Suppose Ike's Bikes is currently producing 600 bikes per month in its only factory. Its short-run average total cost is
per bike.
Suppose Ike's Bikes is expecting to produce 600 bikes per month for several years. In this case, in the long run, it would choose to produce bikes
using
arrow_forward
ework (Ch 09)
4.00
3.50
Monopoly Outcome
3.00
ATC
2.50
Profit
2.00
1.50
Loss
MC
1.00
K 0.50
D
2.0
QUANTITY OF OUTPUT (Thousands of cans of beer)
0.5
1.0
1.5
2.5
3.0
35
4.0
Suppose that BYOB charges $2.75 per can. Your friend Musashi says that since BYOB is a monopoly with market power, it should charge a higher p
of $3.00 per can because this will increase BYOB's profit.
Complete the following table to determine whether Musashi is correct. If BYOB is suffering a loss, enter a negative value for profit.
Price
(Dollarc nor can)
Quantity Demanded
Total Revenue
Total Cost
Profit
nollare)
nallare)
IDallare-1
17 +
ho.
144
DII
DDI
&
*
5.
6.
7.
8.
ba
R
PRICE AND COST PER UNIT (Dollars per can)
arrow_forward
NOMETRICS I|
/ My courses / Faculty Of Economics & Administrative Sciences / ECON309 / Finals/ ECON 309 Final Exam Assignm
15. Interpreting the intercept in a sample regression function is
Oa. reasonable because under certain conditions the estimator is BLUE.
of
Ob. reasonalble if your sample contains values of Xi around the origin.
tion
Oc not reasonable because economists are interested in the effect of a change in X on the change in Y.
d. not reasonable because you never observe values of the explanatory variables around the origin.
Next page
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This is not the same problem, I need help with the problem i submitted
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Southeast Asia’s online shopping boom is here to stay, even after the pandemic
Southeast Asian shoppers will likely continue buying groceries and other essential items online — even after the coronavirus pandemic ends, according to research from consultancy Bain & Company and Facebook. A new report from the two firms said e-commerce and other digital trends across the region were accelerated by the Covid-19 outbreak — the disease that has infected more than 7 million people worldwide. “Some of these trends are here to stay,” Praneeth Yendamuri, a partner with Bain & Company based in Singapore.“One of the trends we identified was essential online shopping, and that’s here to stay,” he told CNBC’s “Street Signs” on Tuesday. He explained that online groceries are a massive category that is relatively underpenetrated due to logistics and other reasons. But the sector grew nearly three times during the outbreak in Southeast Asia, and one in three users who were surveyed said they…
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For a certain company, the cost for producing x items is 60x + 300 and the revenue
for selling x items is 100x – 0.5x².
-
The profit that the company makes is how much it takes in (revenue) minus how much it
spends (cost). In economic models, one typically assumes that a company wants to
maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We
assume that the company sells all of the items that it produces. (Hint: it is a quadratio
polynomial.)
Part b: Find two values of x that will create a profit of $300.
The field below accepts a list of numbers or formulas separated by semicolons (e.g.
2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va, type
sqrt(a).
x =
Part c: Is it possible for the company to make a profit of $15,000?
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Session 2
Questions 44 and 45 are open-response questions.
ws
BE SURE TO ANSWERAND LABEL ALL PARTS OF EACH QUESTION.
Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.
If you do the work in your bhead, explain in writing how you did the work.
Write your answer to question 44 in the space provided in vour Student Answer Booklet.
The graph below shows the birth rate and the death rate of a mouse population ovet a
three-year period. The immigration rate and the emigration rate of the population are equal.
44
Birth Rate and Death Rate
of a Mouse Population
Year 3
Year 2
Year 1
Time
Key
Death rate
Birth rate
a. Describe what happens to the size of the population for each year shown on the graph.
Explain your answers.
b. Identify three factors that could affect the death rate of the mouse population, and explain
why each factor affects the death rate.
100
rient.
Birth and Death Rates
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|4GE 10:01
2.2 Modeling with Linear F...
edfinity.com
TAMU_QID: BM_00049
A company finds the total cost of
producing 45 items is $9,450, while
they can produce 85 items for a total
cost of $13,250. They have a
revenue of $7,150 when selling 65
items.
Enter all answers below using exact
numbers, and write any equations in
slope-intercept form.
a. Find the production cost per
item:
b. Find the company's linear
profit function:
P(x) =
Submit answer
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The graph below depicts the short-run cost curves for a typical fast-food restaurant in a mall. Due to COVID-19 government
restrictions, the number of shoppers going to the mall fell. As a result, the demand for food at these restaurants fell, and the market
price of a meal fell from $13 to $10 to $6. On the graph below, use the point tool to plot the restaurant's profit-maximization point at
each price.
Price
16
15
14
13
12
11
10
.
.
ATC
Fast-Food Restaurant Meals
O
MC
MB2
MRS
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8:49
il LTE
https://undergrad.unilus.app/pluginfile... O
...
Combination 2
Combination 3
Country B
Efficient
Attainable Unattainable
Inefficient
Combination 1
K
M
N
Combination 2
R
Combination 3
T
U
(22 Marks)
b) Which country has an absolute advantage in production of wine? Justify your
answer with empirical evidence.
(2 Marks)
c) Which country has an absolute advantage in the production of clothes? Justify
your answer with empirical evidence.
(2 Marks)
d) Which country has a comparative advantage in the production of wine? Justify
your answer with empirical evidence.
(4 Marks)
e) Which country has a comparative advantage in the production of clothes?
Justify your answer with empirical evidence.
(4 Marks)
f) If both countries specialize in the production of the item they are good at,
draw the PPF for the condition where trade can take place.
(6 Marks)
(TOTAL: 40 MARKS)
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Homework (Ch 09)
* MindTap - Cengage Learning
x +
atic/nb/ui/evo/index.html?deploymentld=58830023220612202193347127562&elSBN=9781337622349&id=D908491136&snapshotld=19375308&
CENGAGE MINDTAP
Homework (Ch 09)
Suppose Ginny gives haircuts on Saturdays to make extra money. She is the only person in town cutting hair on Saturdays and therefore has some
market power. Assume that she does not incur fixed costs, and the only significant variable cost to Ginny is her time. As she gives more haircuts,
Ginny must increasingly forgo other valuable Saturday activities. For example, if she gives one haircut, she forgoes reading the paper after breakfast.
If she gives two haircuts, she gives up reading the paper and sleeping an extra half-hour.
Ginny's clients are a varied group willing to pay between $16.00 and $28.00 for a haircut. Assume that Ginny cannot price discriminate, i.e., charge
different clients different prices. If Ginny charges $28.00 per haircut, she will have one client per week; if…
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Suppose the relationship between your study time and your grade on a History midterm is
given by the following table:
If you study for Your grade will be
4 hours
80
5 hours
90
6 hours
93
a) What is the "marginal grade improvement (MGI)" of the 5th hour of studying?
b) What is the "marginal grade improvement (MGI)" of the 6th hour of studying?
c) Why might the MGI be diminishing?
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The first two parts of the question have already been solved. But, here my question is:
How many boats would you send if the price/fish=$30?
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10:23 w
52.0
VPN KB/S LIED 448
B expert.chegg.com/qna/aut
= Chegg
Hide student question
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>
Time Left: 01:50:59
Student question
i want a curve
Skip
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Please do not give solution in image format thanku
Joe’s Java has three different workstations: one for drip coffee, one for espresso drinks, and one to prepare food. During the morning rush, Joe has 5 people working: one person at the drip coffee station, two at the espresso station, and two at the food prep station. These employees are not cross trained, and thus must stay at their station.
On average, it takes the person at the drip coffee station 1 minute to make the coffee. On average, it takes one person working at the espresso station 3 minutes to make one espresso drink. On average, it takes one person working at the food station 4.5 minutes to prepare the food for one customer.
The customer mix is as follows. 10% order just a drip coffee, 30% order a drip coffee and food, 35% order just an espresso drink, and 25% order an espresso drink plus food.
A total of 40 customers/ hour frequent Joe's Java. What is the implied utilization at the espresso station? Provide your answer in…
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Journalindicates that economies of scale in fracking may be considerably smaller than in conventional oil
drilling. If this view is correct, what would the likely consequences be for the number of firms drilling for oil
in the United States?
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macroeconmics question 5
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Consider the following scenario to understand the relationship between marginal and average values. Suppose Shen is a professional basketball
player, and his game log for free throws can be summarized in the following table.
Fill in the columns with Shen's free-throw percentage for each game and his overall free-throw average after each game.
Game
Game Result
Total
Game Free-Throw Percentage
Average Free-Throw Percentage
1
8/10
8/10
80
80
6/10
14/20
3
1/5
15/25
4
3/5
18/30
8/10
26/40
On the following graph, use the orange points (square symbol) to plot Shen's free-throw percentage for each game individually, and use the green
points (triangle symbol) to plot his overall average free-throw percentage after each game.
Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.
100
90
Game Free-Throw Percentage
80
70
Average Free-Throw Percentage
RCENTAGE
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- Ike's Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company's short-run average total cost each month for various levels of production if it uses one, two, or three factories. (Note: Qequals the total quantity of bikes produced by all factories.) Number of Factories Q = 100 440 1 2 3 580 720 Q = 200 320 400 480 Average Total Cost (Dollars per bike) Q = 300 Q = 400 240 320 240 320 240 240 Q = 500 480 400 320 Q = 600 720 580 440 Suppose Ike's Bikes is currently producing 600 bikes per month in its only factory. Its short-run average total cost is per bike. Suppose Ike's Bikes is expecting to produce 600 bikes per month for several years. In this case, in the long run, it would choose to produce bikes usingarrow_forwardework (Ch 09) 4.00 3.50 Monopoly Outcome 3.00 ATC 2.50 Profit 2.00 1.50 Loss MC 1.00 K 0.50 D 2.0 QUANTITY OF OUTPUT (Thousands of cans of beer) 0.5 1.0 1.5 2.5 3.0 35 4.0 Suppose that BYOB charges $2.75 per can. Your friend Musashi says that since BYOB is a monopoly with market power, it should charge a higher p of $3.00 per can because this will increase BYOB's profit. Complete the following table to determine whether Musashi is correct. If BYOB is suffering a loss, enter a negative value for profit. Price (Dollarc nor can) Quantity Demanded Total Revenue Total Cost Profit nollare) nallare) IDallare-1 17 + ho. 144 DII DDI & * 5. 6. 7. 8. ba R PRICE AND COST PER UNIT (Dollars per can)arrow_forwardNOMETRICS I| / My courses / Faculty Of Economics & Administrative Sciences / ECON309 / Finals/ ECON 309 Final Exam Assignm 15. Interpreting the intercept in a sample regression function is Oa. reasonable because under certain conditions the estimator is BLUE. of Ob. reasonalble if your sample contains values of Xi around the origin. tion Oc not reasonable because economists are interested in the effect of a change in X on the change in Y. d. not reasonable because you never observe values of the explanatory variables around the origin. Next pagearrow_forward
- This is not the same problem, I need help with the problem i submittedarrow_forwardSoutheast Asia’s online shopping boom is here to stay, even after the pandemic Southeast Asian shoppers will likely continue buying groceries and other essential items online — even after the coronavirus pandemic ends, according to research from consultancy Bain & Company and Facebook. A new report from the two firms said e-commerce and other digital trends across the region were accelerated by the Covid-19 outbreak — the disease that has infected more than 7 million people worldwide. “Some of these trends are here to stay,” Praneeth Yendamuri, a partner with Bain & Company based in Singapore.“One of the trends we identified was essential online shopping, and that’s here to stay,” he told CNBC’s “Street Signs” on Tuesday. He explained that online groceries are a massive category that is relatively underpenetrated due to logistics and other reasons. But the sector grew nearly three times during the outbreak in Southeast Asia, and one in three users who were surveyed said they…arrow_forwardFor a certain company, the cost for producing x items is 60x + 300 and the revenue for selling x items is 100x – 0.5x². - The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratio polynomial.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va, type sqrt(a). x = Part c: Is it possible for the company to make a profit of $15,000?arrow_forward
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ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education