PLEASE SHOW YOUR WORK WITH FORMULAS.

1.At the end of the year 2017 the assets of the company X were 400 mill EUR and equity was 300 mill EUR. At the end of the year 2018 assets in the same company   were 500 mill EUR and equity was 400 mill. The net profit in 2018 was 100 mill EUR.

a)Calculate ROA and ROE for the year 2018.

b)What was indebtedness in the years 2017 and 2018?

c)What is the change in indebtedness in 2018 compared with 2017 expressed in index and index points (interpretation is required as well).

2. In the income statement of the company “Astra, Ltd.” for 2010 you have found that the company had € 40 mill of income before tax (profit before tax) and the net profit (after tax) was € 35 mill. The national income tax rate is 20%. How much was the effective income tax rate and the income tax base for this company in 2010? (4 points)

a) The effective tax rate was 12.5%, the tax base was € 40 mill.

b) The effective tax rate was 20%, the tax base was € 25 mill.

c) The effective tax rate was 12.5%, the tax base was € 35 mill.

d) The effective tax rate was 12.5%, the tax base was € 25mill.

e) The effective tax rate was 20%, the tax base was € 35 mill.

3. A company produced 50,000 products last year, but sold only 30,000 of them. The selling price of a product was € 200 and the cost per unit was € 100. How much were revenues, costs, expenses and profit? (4 points)

a) Revenues were € 6 mill., costs were € 3 mill, expenses were € 5 mill and profit was € 1 mill.

b) Revenues were € 6 mill., costs were € 5 mill., expenses were € 3 mill and profit was € 3 mill.

c) Revenues were € 10 mill., costs were € 5 mill, expenses were € 3 mill and profit was € 5 mill.

d) Revenues were € 10 mill., costs were € 3 mill, expenses were € 5 mill and profit was € 5 mill.

e) Revenues were € 6 mill., costs were 5 mill., expenses were € 5 mill and profit was € 1mill.

4.

Company Z has production capacities that allow production of 20.000 units of product per year. Market analysis showed that 8.000 products could be sold in the domestic market at 50 EUR per piece. Total fixed costs are 80.000 EUR per year, total variable costs increase proportionally up to 10.000 produced units, beyond this production limit they increase progressively. Total variable costs for 8.000 products are 240.000 EUR. Company Z could increase the capacity usage rate by exporting 2.000 products in Croatia. The problem is that the price in Croatia would have to be lower, only 35 EUR per piece.

Which of the following statement is correct?

1. A company should not accept the proposed export deal because the selling price (35 EUR) is lower than the unit cost (40 EUR).
2. A company should not accept the proposed export deal because the revenues generated in Croatian market (70,000 EUR) are not enough to cover all the variable costs (60,000 EUR) plus corresponding portion of fixed costs (16,000 EUR).
3. A company should not accept the proposed export deal because the revenues generated in Croatian market (70,000 EUR) are not enough to cover all fixed costs (80,000) and therefore the existing net income will decrease for 10,000 EUR.
4. A company should accept the proposed export deal because the revenues generated in Croatian market (70,000 EUR) are enough to cover all additional costs related to the deal (60,000 EUR) and therefore the existing net income will increase for 10,000 EUR.
5. A company should accept the proposed export deal because the revenues generated in Croatian market (70,000 EUR) are enough to cover fixed costs related to the deal (16,000 EUR) and therefore the existing net income will increase for 16,000 EUR

5. a)Derive the equation for the break-even point assuming linear variable costs, draw a corresponding graph, and explain the importance of cost management on the basis of this equation. (7 points)

b)Explain how we determine and use the break-even point in the case of heterogeneous production. (6 points)

Bella Groove and Frankie Jay commenced a new business on 1 January 2020. The business will operate a hip-hop dance studio, called ‘Groovy Dancing’ . Bella and Frankie will operate the business as a partnership. The dance studio will offer dance classes to children and adults. People will sign-up for classes for a period of 3 months at a time (with people attending one class each week), and sessions will run from February – April, May – July, August – October each year. The classes
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cost $50 per month (with $150 payable for each 3-month session), and people can pay as follows:
• $150 paid upfront for 3-months of dance classes; or • $50 per month, payable on the last day of each month (for each of the 3 months of dance classes).
During the first six months of operations, the following events and transactions occurred. Note: all payments made by Groovy Dancing were made from the business bank account.
Date Detail 3 Jan Bella Groove and Frankie Jay each contributed $10,000 of personal funds into the business bank account.
5 Jan Groovy Dancing rented a studio for the business, for a period of 12 months (starting on 1 February 2020 – 31 January 2021). Rent is to be paid 3-monthly in advance. Groovy Dancing paid $3,000 to the landlord for rent for February – April 2020.
10 Jan Groovy Dancing contracted Choice Flooring to supply and install a floating dance floor at the studio. The dance floor was installed, and Groovy Dancing received an invoice for $5,000. The due date for payment of the invoice is 8 February 2020.
22 Jan Groovy Dancing purchased and paid for a computer and sound system for the business. The computer cost $2,600 and the sound system cost $1,200.
25 Jan Groovy Dancing purchased and paid for advertising materials (flyers, balloons, fridge magnets) from Swift Promotions Ltd for $900.
26 Jan At the Australia Day celebrations that were held in town, Groovy Dancing held two free outdoor community hip-hop dance classes with the aim of: promoting the new business, and to advertise the new hip-hop dance classes that were going to commence at their studio on 1 February 2020. Bella and Frankie handed out all of the advertising materials on the day. They received lots of positive interest from community members about their new business.
27 Jan Groovy Dancing received a number of telephone calls from people interested in signing up for the new hip-hop dance classes. 32 people signed up for classes for February – April 2020, and each of these people paid the $150 fee for these classes (via direct deposit into Groovy Dancing’s bank account).
28 Jan Groovy Dancing received more telephone calls from people interested in signing up for the new hip-hop dance classes. Another 40 people signed up for classes for February – April 2020. 30 of these people paid the $150 fee for these classes (via direct deposit into Groovy Dancing’s bank account), and the other 10 people agreed to pay $50 on 28 February, 31 March, and 30 April.
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31 Jan Groovy Dancing received more telephone calls from people interested in signing up for the new hip-hop dance classes. Another 25 people signed up for classes for February – April 2020, and each of these people paid the $150 fee for these classes (via direct deposit into Groovy Dancing’s bank account).
1 Feb Groovy Dancing paid $2,400 for business insurance, for the period 1 February 2020 – 31 January 2021.
1 Feb Groovy Dancing paid the local radio station $580 for radio advertising (for advertising provided on 1 February, promoting the grand opening of the dance studio).
5 Feb Groovy Dancing paid the $5,000 owing to Choice Flooring (owing in relation to the floating dance floor supplied and installed in January).
28 Feb Groovy Dancing received $500 from the 10 customers that agreed to pay $50 per month (in February, March and April) for their dance classes.
28 Feb Bella Groove withdrew $1,000 from the bank account for personal expenses, and Frankie Jay withdrew $2,000 from the bank account for personal expenses.
31-Mar Groovy Dancing received $500 from the 10 customers that agreed to pay $50 per month (in February, March and April) for their dance classes.
1 Apr Groovy Dancing received an invoice from Telstra, for telephone and internet used by the business. The amount payable on the invoice is $300, and payment is due by 28 April 2020.
27 Apr Groovy Dancing paid Telstra the $300 that was owing.
28 Apr 60 people signed up for classes for May - July 2020, and each of these people paid the $150 fee for these classes (via direct deposit into Groovy Dancing’s bank account).
29 Apr Another 50 people signed up for classes for May - July 2020. 30 of these people paid the $150 fee for these classes (via direct deposit into Groovy Dancing’s bank account), and the other 20 people agreed to pay $50 on 31 May, 30 June, and 31 July.
30 Apr Groovy Dancing received $500 from the 10 customers that agreed to pay $50 per month (in February, March and April) for their dance classes.
30 Apr Groovy Dance paid $3,000 to the landlord for rent for May - July 2020.
10 May Groovy Dancing received an invoice from Origin Energy, for electricity used at the dance studio. The amount payable on the invoice is $750, and payment is due by 4 June 2020.
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31 May Groovy Dancing received $1,000 from the 20 customers that agreed to pay $50 per month (in May, June and July) for their dance classes.
2 Jun Groovy Dancing paid Origin Energy the $750 that was owing.
30 Jun Groovy Dancing received $1,000 from the 20 customers that agreed to pay $50 per month (in May, June and July) for their dance classes.
30 Jun Groovy Dancing received an invoice from Telstra (for telephone and internet used by the business), with an amount payable of $380. The due date for payment is 28 July 2020.
30 Jun Groovy Dancing needs to recognise an accrued expense for electricity, amounting to $420.
Additional information as at 30 June 2020:
• Depreciation to be recognised in the financial statements up to 30 June 2020 is: $100 for the floating dance floor, $200 for the computer and; $160 for the sound system. • Ignore any GST.
Required:
i. Prepare journal entries for January – June 2020 transactions listed above (including any adjusting entries). In relation to adjusting entries for prepaid expenses, depreciation and unearned revenue, prepare these entries as at 30 June 2020 (rather than at the end of each month). Include dates, references and narrations. (7.5 marks) ii. Prepare T-accounts in an Excel spreadsheet. Post all of the above journal entries to the T-accounts. Include dates and references for each entry. Total all of the T-accounts to determine their balances at the end of June 2020. iii. Prepare the ‘Adjusted Trial Balance’ in an Excel spreadsheet as at 30 June 2020. Use formulas to generate all of the figures in the ‘Adjusted Trial Balance’ from the balances in the T-Accounts. iv. Prepare the income statement, balance sheet, and statement of changes in equity in Excel. Use formulas to generate all of the figures in the financial statement reports from the ‘Adjusted Trial Balance’ .

Programming assignment 4 : C++

Write a program to do the following:

1.Define a structure to store a date, which includes day(int), month(int), and year(int).

2.Define a structure to store an address, which includes address(house number and street)(string), city(string), state(string), zip code (string).

3.Define a class to store the following information about a student. It should include private member variables: name(string), ID (int), date of birth (the first structure), address (the second structure), total credit earned (int), and GPA (double). And it also has public member functions: constructors(at least one default and one non-default), Accessors and Mutators for each member variable, and so on.(write definitions of at least one member function outside the class).

4.Test each member function of the class in main function. Each piece information of a student is inputted by user, not initialized by you (programmer)except for default constructor.5.In main function, choose any one student you defined,and then check whether the student lives in the zip code of 11235 (close to school)or not,and check whether the student’s birthday is in November or not.

Write a program that will find the class average of fifteen (15) test scores for five (5) different tests. The class average must be stored into an integer array. You are to have three separate arrays: Note: _jd represents the initials of the programmer. Your array and function names should be named by replace the initials jd with your first and last initials Arrays Student Names Scores Averages Name of array students_jd scores_jd averages_jd Size of array [15][10] [15][5] .[5] Data for array Initialized in code Read from data file Calculated and stored Excluding the main function, your program should have three additional functions that will get the scores, calculate the averages and display your output. Functions Read Input File Calculate Average Output Results Name of function get_jd calc_jd prt_jd Properties of function Called from main Called from main Called from main Definition of Function Should pass scores array and add data to array Should pass average array and add averages to array Should pass students, scores and average array and print data Data file should be named da

For java.

It's your turn to write a test suite! Let's start out simple. Create a public class TestArraySum that provides a single void class method named test. test accepts a single parameter: an instance of ArraySum.

Each ArraySum provides a method sum that accepts an int[] and returns the sum of the values as an int, or 0 if the array is null. However, some ArraySum implementations are broken! Your job is to identify all of them correctly.

To do this you should use assert to test various inputs. Here's an example:

assert sum.sum(null) == 0;

Your function does not need to return a value. Instead, if the code is correct no assertion should fail, and if it is incorrect one should.

As you design test inputs, here are two conflicting objectives to keep in mind:

• Less is more. The fewer inputs you need to identify all broken cases, the more readable your test suite will be.
• Think defensively. At the same time, you want to anticipate all of the different mistakes that a programmer might make. You've probably made many of these yourself! Examples include forgetting to check for null, off-by-one errors, not handling special cases properly, etc.

In a football or soccer game, you have 22 players, from both teams, in the field. What is the probability of having any two players with the same birthday? (just assume 365 days a year and don’t have to do the exact calendar month and day, use the day number from 1 to 365)

Find the closed form mathematical solution by probability theory. Show your derivation/proof.

Assume an economy with no international sector.

(a) Explain how a decrease in the money supply will affect interest rates.

(b) Explain how the change in the interest rate you identified in part (a) will directly affect each of the three components of aggregate demand for this closed economy.

(c) Explain how the change in the interest rate you identified in part (a) will affect each of the following in the short run.

(i) Output

(ii) Price Level

Assume an economy with no international sector.

(a) Explain how a decrease in the money supply will affect interest rates.

(b) Explain how the change in the interest rate you identified in part (a) will directly affect each of the three components of aggregate demand for this closed economy.

(c) Explain how the change in the interest rate you identified in part (a) will affect each of the following in the short run.

(i) Output

(ii) Price Level

Let f(x, y) = 2x^3 − 6xy + 3y^2 be a function defined on xy-plane

(a) Find first and second partial derivatives of.

(b) Determine the local extreme points of f (max., min., saddle points) if there are any.

(c) Find the absolute max. and absolute min. values of f over the closed region bounded by the lines x = 2, y = 0, and y = x