Consider a Cournot duopoly with the following inverse demand function:p(Q) =a−Q where p is the price of the product and Q is the total amount of goods exchanged in the market. The total costs areC(q1) = 300q1, C(q2) = 300q2 for firm 1 and firm 2, respectively. But the demand is uncertain (i.e., a new product may be introduced soon which will decrease the demand drastically). Firm 1 learns whether demand will be high (a =1800) or small (a=900) before it makes its quantity decision. However, firm 2 knows just the probability of high demand (1/4) and the probability of low demand (3/4). All of this is common knowledge. In particular, firm 2 knows that firm 1 knows the demand for certain. The two firms simultaneously choose quantity. What is the Bayesian equilibrium of the game (price in both states of the world and quantity produced by each firm)?

... sleep deprivation influences aggression. To test this assumption, volunteer participants were randomly assigned to sleep-deprivation periods of 0, 24, 48, and 72 hours and subsequently tested for aggressive behavior in a controlled social setting. Aggressive scores signify the total number of different aggressive behaviors, such as "put downs", arguments, or verbal interruptions, that were demonstrated by subjects during the test period. Compute the appropriate test to determine if sleep deprivation has an effect on level of aggression.

• What is your computed answer?
• What probability level did you use and why?

Sofie Company buys stock in Nut Corporation in cash on January 1, 2020, and reports the investment as having no significant influence.

The percentage of investment 15% Amount paid $6,000,000

On January 1, 2022, Sofie Company makes the following additional investment in Nut Corporation and changes to the equity method of reporting for this investment.

The additional percentage of investment 25% Additional amount paid $15,000,000

Fair value of the 15% investment is as follows: 12/31/2020 $6,200,000 12/31/2021 $6,450.000

Nut Corporation reported the following amounts for the years;

Net income 2020- $150,000 2021- $200,000 2022- $250,000

Cash dividend(paid at year-end) 2020- $50,000 2021- $80,000 2022- $100,000

Additional information: Nut Corporation reported no comprehensive income and any basis difference is attributed to goodwill.

A. Prepare all the journal entries that Sofie Company would records for the investment in Nut Corporation for 2020,.2021, and 2022. Journal entries should be set up in good form.

You need to provide dates, use appropriate account titles, and include an explanation below each journal entry.

B. Develop a table showing the calculation of what the amount Sofie Corporation will report on the balance sheet for the investment in Nut Corporation on December 31, 2022.

a. Explain and provide reasons for how you would assign participants to groups for an experiment that wants to study Masters of Professional Accounting students and the effects of participation in group work training on satisfaction with a group work project.

b. What are some factors that might impact the results of your experiment in (a).?

The Shirt Works sells a large variety of tee shirts and sweatshirts. Steve Hooper, the owner, is thinking of expanding his sales by hiring high school students, on a commission basis, to sell sweatshirts bearing the name and mascot of the local high school.

These sweatshirts would have to be ordered from the manufacturer six weeks in advance, and they could not be returned because of the unique printing required. The sweatshirts would cost Hooper $21.00 each with a minimum order of 240 sweatshirts. Any additional sweatshirts would have to be ordered in increments of 240.

Since Hooper’s plan would not require any additional facilities, the only costs associated with the project would be the costs of the sweatshirts and the costs of the sales commissions. The selling price of the sweatshirts would be $42.00 each. Hooper would pay the students a commission of $7.00 for each shirt sold.

How many sweatshirts would Hooper need to sell to earn a target profit of $15,100?

Is the proportion of all days in his life that Parsnip has been fed seeds in the confidence interval computed in (b)?

(a). A simple random sample of 37 days was selected. For these 37 days, Parsnip was fed seeds on 22 days and Parsnip was fed pellets on the other 15 days. The goal is to calculate a 99% confidence interval for the proportion of all days in which Parsnip was fed seeds, and to do so there are two assumptions. The first is that there is a simple random sample, which is satisfied. What is the second assumption, and specific to the information in this problem, is it satisfied? Explain why or why not.

b) If appropriate, use the data in part (a) to calculate and interpret a 99% confidence interval for the proportion of all days in his life that Parsnip has been fed seeds.

In the energy level diagram shown below, the energy difference between States 3 and 4 is half the energy difference between states 2 and 3. An electron undergoes a transition (a quantum \"leap\") from State 4 to State 3 resulting in the emission of a photon having a wavelength of 660 nm. (Note: 1 nm = 10^-9 m.)

What is the frequency the emitted photon resulting from an electron making a transition from State 4 to State 3.

f_{4 to 3} =

What is the frequency the emitted photon resulting from an electron making a transition from State 3 to State 2.

f_{3 to 2} =

What is the wavelength of the photon that is emitted when an electron makes a transition from State 3 to State 2?

λ_{3 to 2} =

What are the frequency and wavelength of a photon that is emitted when an electron makes a transition from State 4 to State 2?

f_{4 to 2} =

λ_{4 to 2} =

The energy difference between States 1 and 2 is five times the energy difference between States 3 and 4. What are the frequency and wavelength of a photon that is emitted when an electron makes a transition from State 4 to State 1?

f_{4 to 1} =

λ_{4 to 1} =

Perform a Country Economic Analysis (MacroTrends) and identify and explain the following based on the chapter’s concepts of expectations, time-lags, stability, per capita GDPs, etc. learned from the text this week:
a. What is the rate of inflation in your country? What is the relationship between the rate of inflation and the actual unemployment rate?
b. What is the country’s per capita GDP? What is the relationship to this and the living standards?
c. What are some examples of your country’s major sources of economic growth and high levels of income? Give 1-2 examples per source.
(Chapter 16, exhibit 4, p. 327)
a. Gains from trade
b. Entrepreneurship
c. Investment in physical capital, work experience, and human capital.

Book: Economics: Private and Public Choice by Gwartney, James D., Macpherson, David A., Sobel, Russell S., Stroup, Richard L.

taxation of cigarettes is often justified on the grounds that cigarette smoking creates externalities. What is meant by the term externalities in this context Give two examples of externalities created by cigarette smoking and explain how a tax on cigarettes could potentially address both of these. Using a fully labelled and explained diagram explain how a tax can increase efficiency in the cigarette market. What size tax should be levied to maximise efficiency in this market? (indicate the efficient tax size on your diagram - no actual number required).

Consider a closed economy where aggregate expenditure is AE = C + I + G. Government purchases (G) is a constant, which do not vary with output level (Y). Consumption (C) is an increasing function of disposable income YD: C = a + bYD. In this economy, we have lump sum tax only; YD = Y –T. Investment is an increasing function of Y: I = k + iY.

1. The equilibrium condition is Y = AE. Solve for the equilibrium Y of the economy.

2. What are the multipliers with respect to the autonomous expenditures (a, k, G) and tax (T)?

3. Solve for the equilibrium disposable income.

4. Solve for the equilibrium consumption.

5. Solve for the equilibrium investment.

6. Solve for the equilibrium private saving (the saving of households) and total saving (private saving + government saving). Is the total saving equal to investment?

7. Do the private saving and total saving vary with autonomous consumption(a) or marginal propensity to consume(b)? If it is the case, how do the private saving and total saving vary with a?

Lovell Computer Parts Inc. is in the process of setting a selling price on a new component it has just designed and developed. The following cost estimates for this new component have been provided by the accounting department for a budgeted volume of 52,000 units.

Per Unit Total Direct materials $45

Direct labor $21

Variable manufacturing overhead $15

Fixed manufacturing overhead $624,000

Variable selling and administrative expenses $17

Fixed selling and administrative expenses $468,000

Lovell Computer Parts management requests that the total cost per unit be used in cost-plus pricing its products. On this particular product, management also directs that the target price be set to provide a 26% return on investment (ROI) on invested assets of $1,000,000.

Compute the markup percentage and target selling price that will allow Lovell Computer Parts to earn its desired ROI of 26% on this new component. & Assuming that the volume is 41,600 units, compute the markup percentage and target selling price that will allow Lovell Computer Parts to earn its desired ROI of 26% on this new component.

Exercise 4: We will use the code in ArrayDemo.cpp to explore arrays and the relationships between arrays and pointers. First of all, make sure you understand the purpose and syntax of the forward declarations at the beginning of the file. Then do the following (90 minutes in coding):

1. Coding (finish in 30min):
   1. Add a function called linearSearch()
   2. This function takes as input an array, its size, and a target integer to find
   3. It should return -1 if the item is not found, or its (non-negative) index if found
   4. Test it on one of the provided arrays
2. Coding (finish in 10min): Rewrite swap() so that it takes two pointers only and swaps the values at those two memory locations.
3. Coding (finish in 30min): Rewrite bubble() so that it uses a pointer and pointer arithmetic, rather than an array with array indexing. Which version of the code do you think is better? Why?
4. Coding (finish in 20min):
   1. Change all int array parameter declarations in the function definitions using int[] to declarations using int* pointers.
   2. Remember to change the function prototypes, too.
   3. In main(), declare arrays set and set2 dynamically using "new".
   4. Also in main(), you now need to delete this memory manually (it's an array, so use delete []).
   5. Set all pointer variables in main() to null after deleting storage (why?).

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ArrayDemo.cpp (below)

#include <iostream>

using namespace std;

// Forward declarations.

void display(int data[], int size);

void bubble(int data[], int size);

void swap(int data[], int idx1, int idx2);

int main(int argc, const char * argv[])

{

const int SIZE = 7;

// These are auto variables.

int set[] = {1,4,3,2,5,9,8}; // Size implicit

int set2[] = {30, 23, 25, 19, 100, 12, 7};

// How does it look like in JAVA?

// int[] myArray = new int[3];

// int[] myArray = {1, 2, 3};

// int[] myArray = new int[] {1, 2, 3};

// You have to pass the size in; a C++ array is just a dumb block of

// storage; no size information is carried with it and no bounds

// checking is done.

display(set, SIZE);

bubble(set, SIZE);

display(set, SIZE);

return 0;

}

void display(int data[], int size) {

for(int i = 0; i < size; i++) {

cout << data[i] << ",";

}

cout << std::endl;

}

void bubble(int data[], int size) {

for(int i = 0; i < size; i++) {

for(int k = 0; k < size - 1 - i; k++) {

if(data[k] < data[k+1]) {

swap(data, k, k+1);

}

}

}

}

void swap(int data[], int idx1, int idx2) {

int temp = data[idx1];

data[idx1] = data[idx2];

data[idx2] = temp;

}

Answer ASAP: Probability and Statistics question

The desired percentage of SiO2 in a certain type of aluminous cement is 5.50 or higher. Suppose that the percentage of SiO2 in a specimen is normally distributed with unknown mean LaTeX: \muμμ but known standard deviation LaTeX: \sigma=0.30σ = 0.30. To test whether the true average percentage is actually less than 5.50 for a particular production facility, we consider

LaTeX: H_0: \mu=5.50 \qquad \textrm{vs} \quad H_1: \mu<5.50H 0 : μ = 5.50 vs H 1 : μ < 5.50

A total of 16 specimens were obtained independently and the corresponding sample mean is LaTeX: \bar{x}=5.25x ¯ = 5.25.

(a) At level 1% can we conclude that the true average percentage is less than 5.50? Make sure to justify your answer.

(b) If the true average percentage is LaTeX: \mu=5.24μ = 5.24 and a level 1% test is used (based on a sample of size 16), what is the power of the test at that LaTeX: \mu μ?

Is it unethical for a marketer to target children below a certain age?