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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)
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Related Questions
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)
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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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quiz 1 (page 1 of 5)
105 econ مبادئ في الاقتصاد الرياضی
ش 2 و ش
elearning yu.edu.jo
Question 1
Not yet answered
Question 3
Marked out of 1.00
Not yet answered
Marked out of 1.00
**Assume that you have the following
equations:
Simplify the following expression: 3X(8x+9)-
X(X+7)
4P+4Q=16
2P-Q=2
The equilibrium price is:
O a. 23x2 + 20X
O a. P=5
O b. X2-30X
O b. P=6
O c. 25X2 + 32X
Oc. P-2
d. 21X2-24X
O d. P-4
e. None of the above
O e. None of the above
Clear my choice
Clear my choice
Next page
Next page
Quiz navigation
Quiz navigation
12 31 4
...
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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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92. Based on Garvin et al. (1957). Ole Oil produces
three products: heating oil, gasoline, and jet fuel.
The average octane levels must be at least 4.5 for
heating oil, 8.5 for gas, and 7.0 for jet fuel. To
produce these products Ole purchases two types of
oil: crude 1 (at $12 per barrel) and crude 2 (at $10
per barrel). Each day at most 10,000 barrels of each
type of oil can be purchased. Before crude can be
used to produce products for sale, it must be
distilled. Each day at most 15,000 barrels of oil can
be distilled. It costs $0.10 to distill a barrel of oil.
The result of distillation is as shown in Table 4.55.
Distilled naphtha can be used only to produce
gasoline or jet fuel. Distilled oil can be used to
produce heating oil or it can be sent through the
catalytic cracker (at a cost of $0.15 per barrel). Each
day at most 5000 barrels of distilled oil can be sent
through the cracker, with the results as shown in
Table 4.56. Cracked oil can be used to produce
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econometrics questiondc
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D1.
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Now assume we can derive an economic analysis from the biological relationship. Fisherman select the
number of boats to operate - boats will be the choice of EFFORT.
Boats
Total Harvest 0
(tons)
0
100 200 300 400 500 600 700 800 900
1,200 2,200 2,800 3,000 2,800 2,400 1,600 800
Suppose the price of fish is $1,000 per ton.
Suppose the cost to operate a boat for a year is $4,000.
Construct a graph showing the total revenue and cost of the fishery.
0
What is the highest profit that can be earned, and how many boats are used for this? (
What is the corresponding long-run stock level associated with the profit-maximizing choice of effort?
What is the profit earned if fisherman harvested the MSY?
What number of boats are used in open access?
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Explain the concept of Internal and External Validity in relation to statistical analysis?
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During the COVID-19 Lockdown in May, many rickshaw-pullers left the market of rickshaw-rides and went to their village homes to pursue other work. What can you conclude from the given information?Discuss all conclusions in detail.
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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
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applicants to Longwood. Suppose we have the following application data:
Year
2015
2016
2017
2018
2019
Number of Applicants
5000
5100
6000
6800
7800
Administration points to this post-debate increase in number of applicants as clear evidence
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Distinguish between socialism and capitalism economic systems (i.e. centralized vs. market-based
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discuss the differences between socialist and capitalist economic systems from the perspective of 1.
Ownership of resources and 2. Decision making). Use the Table below to help with your discission.
Criteria based on
which we
Capitalism/Pure Market capitalism. Market
capitalism.
Socialism,
Command
Controlled
socialism.
distinguish
between different
(С).
economic
systems.
Country:
Ownership of
resources:
Decision making:
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majors for the highest average score.
333.
Table 1.1 LSAT Scores for Students Taking the Exam in 2008
Rank
1
1
3
4
5
6
7
8
9
10
11
12
Major
Economics
Philosophy
Engineering
History
English
Finance
Political science
Psychology
Sociology
Communications
Business administration
Criminal justice
Average LSAT Score # of Students
157.4
157.4
156.2
155.9
154.7
153.4
153.0
152.5
150.7
150.5
149.1
145.5
3,047
2,184
2,197
4,166
5,120
2,267
14,964
4,355
1,902
2,230
1,971
3,306
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building. The mechanic can adopt a new technology that eliminates the noise for $325/month. Given this situation, can the
library find a private solution with the mechanic that will make both better off
Yes, but then ▼
Part 2
(2 points)
O See Hint
What is the minimum and maximum payment the library would make to the mechanic to get it to installthe noise-reducing
equipment? NOTE: Round your answers to the nearest dollar.
Minimum:
Maximum: $
05/15>
VIEW SOLUTION
SUBMIT ANSWER
4 OF 15 QUESTIONS COMPLETED
28
MacBook Pro
FI
F9
FIO
F8
F6
F7
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[answer in no more than 50 words]
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Could someone walk me through this problem? Thank you for your help!
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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
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Hide student question
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Time Left: 01:50:59
Student question
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The following scenario examines the relationship between marginal and average values. Suppose Jelani is a high school basketball player. The
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Fill in the columns with Jelani's foul-shooting percentage for each game and their overall foul-shooting average after each game.
Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage
Game
1
8/10
80
2
14/20
3
15/25
4
18/30
5
26/40
FREE-THROW PERCENTAGE
On the following graph, use the orange points (square symbol) to plot Jelani's foul-shooting percentage for each game individually, and use the green
points (triangle symbol) to plot Jelani's overall average foul-shooting 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
80
70
60
50
40
30
20
10
0
8/10
6/10
1/5
3/5
8/10
0
2
GAME
3
80
4
5
Game Foul-Shooting Percentage
Average Foul-Shooting…
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11.2
Suppose P(x) represents the profit on the sale of x Blu-ray discs. If
P(1,000) = 4,000
and
P'(1,000) = −6,
what do these values tell you about the profit?
P(1,000) represents the profit on the sale of Blu-ray discs.
P(1,000) = 4,000,
so the profit on the sale of Blu-ray discs is $ .
P'(x)
represents the as a function of x.
P'(1,000) = −6,
so the profit is decreasing at the rate of $ per additional Blu-ray disc sold.
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Please find the attached question
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Which of the following options is equivalent representation to the signal flow
graph shown below?
Select one:
о
O d.
(a+c)d
1
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- 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_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_forwardquiz 1 (page 1 of 5) 105 econ مبادئ في الاقتصاد الرياضی ش 2 و ش elearning yu.edu.jo Question 1 Not yet answered Question 3 Marked out of 1.00 Not yet answered Marked out of 1.00 **Assume that you have the following equations: Simplify the following expression: 3X(8x+9)- X(X+7) 4P+4Q=16 2P-Q=2 The equilibrium price is: O a. 23x2 + 20X O a. P=5 O b. X2-30X O b. P=6 O c. 25X2 + 32X Oc. P-2 d. 21X2-24X O d. P-4 e. None of the above O e. None of the above Clear my choice Clear my choice Next page Next page Quiz navigation Quiz navigation 12 31 4 ...arrow_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
- 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 Ratesarrow_forward92. Based on Garvin et al. (1957). Ole Oil produces three products: heating oil, gasoline, and jet fuel. The average octane levels must be at least 4.5 for heating oil, 8.5 for gas, and 7.0 for jet fuel. To produce these products Ole purchases two types of oil: crude 1 (at $12 per barrel) and crude 2 (at $10 per barrel). Each day at most 10,000 barrels of each type of oil can be purchased. Before crude can be used to produce products for sale, it must be distilled. Each day at most 15,000 barrels of oil can be distilled. It costs $0.10 to distill a barrel of oil. The result of distillation is as shown in Table 4.55. Distilled naphtha can be used only to produce gasoline or jet fuel. Distilled oil can be used to produce heating oil or it can be sent through the catalytic cracker (at a cost of $0.15 per barrel). Each day at most 5000 barrels of distilled oil can be sent through the cracker, with the results as shown in Table 4.56. Cracked oil can be used to produce gasoline and jet fuel…arrow_forwardeconometrics questiondcarrow_forward
- D1.arrow_forwardNow assume we can derive an economic analysis from the biological relationship. Fisherman select the number of boats to operate - boats will be the choice of EFFORT. Boats Total Harvest 0 (tons) 0 100 200 300 400 500 600 700 800 900 1,200 2,200 2,800 3,000 2,800 2,400 1,600 800 Suppose the price of fish is $1,000 per ton. Suppose the cost to operate a boat for a year is $4,000. Construct a graph showing the total revenue and cost of the fishery. 0 What is the highest profit that can be earned, and how many boats are used for this? ( What is the corresponding long-run stock level associated with the profit-maximizing choice of effort? What is the profit earned if fisherman harvested the MSY? What number of boats are used in open access?arrow_forwardExplain the concept of Internal and External Validity in relation to statistical analysis?arrow_forward
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