1. How much load can safely be carried by a 20 m long, 0.3 x 0.3 m square concrete pile driven in very stiff clay. Address the safe load issue but not the settlement issue. Soil properties: su = 100 kPa, q_c = 5 MPa, f_c = 70 kPa, p_L = 500 kPa, E₀ = 7.5 MPa, C_c = 0.3, c_v = 10-4 cm²/s, γ = 18 kN/m³. If you need additional properties assume reasonable values.

(a) Consider three positive integers, x1, x2, x3, which satisfy the inequality below: x1 +x2 +x3 =17. (1) Let’s assume each element in the sample space (consisting of solution vectors (x1, x2, x3) satisfying the above conditions) is equally likely to occur. For example, we have equal chances to have (x1, x2, x3) = (1, 1, 15) or (x1, x2, x3) = (1, 2, 14). What is the probability the events x1 +x2 ≤8occurs,i.e.,P(x1 +x2 ≤8|x1 +x2 +x3 =17andx1,x2,x3 ∈Z+)(Z+ isthe set containing all the possible positive integers)? (5%)

(b) There are unlimited fake coins and only one real coin. The fake coins and the real coin are almost the same and can only be detected by a special machine. At the very beginning, there are two coins in a bag, one fake and the other real (but we don’t know which one is real). We continue the following process till the real coin is found: At the each step, we randomly sample one coin from the bag and examine whether it is fake. If yes, we put the coin back to the bag, additionally put in another fake coin, and randomly draw a coin for examination. The sampling process won’t stop until we find the real coin. Assuming that each coin (either fake or real) has equal chances to be selected, what is the probability that we sample 9 times but still cannot find the real coin (and hence has to continue the sampling process)? (5%)

(c) From a random sports news, the probability of observing the word “ball” and “player” is 0.8 and 0.7, respectively. For a non-sports news, the probability to observe “ball” is 0.1, so does that to observe “player”. Let’s assume that in any article, the appearance of any two words (including “ball” and “player”) are independent with each other. Also, the probability of sports news’ occurrences is 0.2. Given a news report x containing both “ball” and “player”, what is the probability that x is a sports news. (10%)

The hurricane in the Bahamas caused a small decrease in the supply of hotel rooms but a very large decrease in demand for hotel rooms as tourists cancel their planned trips. The result of these two effects on the market for hotel rooms is:

Group of answer choices

an increase in the equilibrium price and a decrease in the equilibrium quantity

a decrease in the equilibrium price and a decrease in the equilibrium quantity

an unknown change in the equilibrium price and a decrease in the equilibrium quantity

a decrease in the equilibrium price and an unknown change in the equilibrium quantity

IN JAVA

Write a program that calculates the occupancy rate for each floor of a hotel. (Use a sentinel value and please point out the sentinel in bold.) The program should start by asking for the number of floors in the hotel. A loop should then iterate once for each floor. During each iteration, the loop should ask the user for the number of rooms on the floor and the number of them that are occupied. After all the iterations, the program should display the number of rooms the hotel has, the number of them that are occupied, the number that are vacant, and the occupancy rate for the hotel. Input Validation: Do not accept a value less than 1 for the number of floors. Do not accept a number less than 10 for the number of rooms on a floor.

Exercise 5.4
Refer back to exercise 2.2. Suppose that you fit the model to 20 data points and found that your F – value for testing the model is useful is 49.75.

Exercise 2.2
A hotel manager is concerned about hotel room rates for a large chain of hotels. The variables to be used in this research is defined as follows:
Y = the daily rate of a room
X1 = the population of the city
X2 = the rating of the hotel (1 star to 5 stars)
X3 = the number of rooms in the hotel
X4 = the number of hotels in the city

Answer the following:

A.) Now conduct the F-test for model utility.

B.) In exercise 5.4, what is the conclusion?

Case Study - Aussie Airlines and the Global Pandemic

Your Role

1. Your firm, DUA, has been the auditor of Aussie Airlines for the past three years.

2. You are the audit team manager and you are about to commence the risk assessment phase, as well as the risk response work plan for the audit of AA’s financial statements for the year ending 30th June 2020.

Context

1. Aussie Airlines (AA) is a large listed Australian airline and has been operating for more than fifty years.

2. In recent years, under pressure to improve profitability as fuel costs rose, the airline successfully undertook a comprehensive cost cutting and business efficiency drive, which returned it to profit three years ago. According to the CEO and Chairperson, Andrew Norris, “the operations of AA are now as lean as they could be; we have squeezed the fruit dry.”

3. In March 2020, the World Health Organisation declared a pandemic, people and governments have responded, and the volume of global business-related and leisure-related air travel has fallen by 95%.

4. It is not known how long the pandemic will last, how long restrictions on air travel will last—most guesses range from two to twelve months, a small minority fear it will be worse—and the Australian government has not yet announced how it’s economic response to the pandemic will specifically help the airline industry.

5. AA has ‘temporarily’ laid off 90% of its workforce, including cabin staff, pilots, and 95% of its airport ground crew. There are murmurs about a class action by employees if they do not receive adequate payments while they are laid off. Some fear the change may be permanent.

6. The company is not taking bookings from customers; the AA website says “for the foreseeable future”.

7. The CEO has told the press that while the current situation represents “an existential crisis”, he is absolutely confident that AA will get through it and come out stronger the other side.

8. The Chief Financial Officer, Clara Major, stopped you in the corridor to say hello and offered you these words: “Look, everything might seem dire but we have it in hand. We will be here this time next year, so keep that in mind.”

9. As expected, you have been offered access to any records and to people inside and outside the AA organisation that you feel will be necessary to complete your risk assessment and interim work.

10. You are also confident that AA’s internal controls remain very strong, although you do not know if or how they have been changed/enhanced to respond to the effects of the global pandemic on AA.

Forecast Financial Statements

On your second day at AA’s head office, you have been given the forecast financial statements for the full year to 30 June 2020, as well as the previous two years’ audited results.

Aussie Airlines: Consolidated Income Statement (Selected) Year Ended 30th June
Currency AUD Millions (figures are rounded)

Aussie Airlines: Consolidated Balance Sheet (Selected) As at 30th June
Currency AUD Millions (figures are rounded)

Notes:

You have received additional information from AA’s Chief Financial Officer and from your initial review of AA Board minutes:

1. Not all 2020 forecast Income Statements line items and Balance Sheet balances have been finalised at this point, though they are best guesses.

2. Intangible Assets constitute goodwill relating to an international airline business AA acquired five years ago. This business mainly services South East Asia, China, and Polynesia destinations.

3. Property, Plant & Equipment consists primarily of aircraft, aircraft engines, and aircraft parts.

4. Revenue Received in Advance relates to customers’ prepaid flights.

5. Aircraft are leased from third parties. A reduction in monthly payments and a restructuring of the lease terms are under negotiation but, so far, nothing has been agreed with the aircraft makers/lessors.

6. AA is currently negotiating with its bank to receive a grace period for repayment of short term and long-term debt as the company is currently in breach of its debt covenants per the loan agreement. If no deal is reached, this debt becomes due and payable on August 31st 2020.

7. AA is seeking a financial bail-out package from the government of $7million to fund its ongoing operating costs for 12 months while its fleet of aircraft is grounded. The Federal government has made positive noises about the request but has not yet committed to support the request and has told AA that it will take at least two months to reach a decision.

8. Under the current conditions, the CFO’s papers to the AA Board estimate that cash coming in from operations will, on average, be $0.5million per month while unavoidable operating costs are estimated to be $0.8million per month.

9. AA has an unused line of credit of $2.5million provided by its banking syndicate. It can access this money to fund its cash requirements. Currently, there are no other sources of cash beyond this line of credit.

QUESTION

1. Assuming that you have completed the work in previous questions and determined that AA is a going concern, select one material account from AA’s Balance Sheet and one material account from the Income Statement and prepare a brief plan for auditing each account. Give particular attention to the following:

   1. An assessment of the audit risk for the account, given the information in this case study and your assumptions.

   2. The relevant/significant audit assertions for this account.

   3. Name two controls that you would expect management to implement for this account. How would you test these controls.

   4. Describe two substantive testing procedures that you would perform in relation to this account to address the relevant/significant assertions.

NOTE: please refer to previous questions asked and answer them first please

Human Development Data Set: Questions are posted in next post.

You are provided with data for several nations from the Human Development Report, 2017.

1. Compute summary statistics (mean, median, mode, standard deviation etc.) for the variables of GDP (GDP per capita in thousands of dollars) and Internet use.

Provide descriptions of the distributions based on the summary statistics. Address skewness in your description.

2. Generate a scatterplot with clearly labeled axes CO2 and GDP. CO2 will be on the Y axis. Comment on what you see.
3. Compute the correlation between CO2 and GDP and interpret it. Refer to both the strength and direction of the correlation in your interpretation.
4. Using the variable Internet Use, construct the 1^st, 2^nd, and 3^rd standard deviation from the mean intervals and calculate the percentages for each. Then make a short interpretation on whether they match the percentages in the Empirical Rule.

A company produces six products in the following manner. Each unit of raw material purchased yields 4 units of product 1, 2 units of product 2, and 1 unit of product 3. Up to 1200 units of product 1 can be sold and up to 300 units of product 2 can be sold. Demand for products 3 and 4 is unlimited. Each unit of product 1 produced from raw material can be sold or processed further. Each unit of product 1 that is processed further yields 1 unit of product 4. Each unit of product 2 can be sold or processed further. Each unit of product 2 that is processed further yields 0.8 unit of product 5 and 0.3 unit of product 6.

For products 3 through 6, the production cost is additional to the costs already incurred.

Up to 1000 units of product 5 can be sold, and up to 800 units of product 6 can be sold. Up to 3000 units of raw material can be purchased at $6 per unit. Leftover units of products 5 and 6 must be destroyed. It costs $4 to destroy each leftover unit of product 5 and $3 to destroy each leftover unit of product 6. The selling price and production cost per unit of each product is provided in the table. The cost of raw material is irrelevant to solving this problem and is ignored in the costs provided.

Determine a profit-maximizing production schedule.

MICROSOFT EXCEL SOLVER SOLUTION PLEASE!!!!!!! The other solutions listed for this problem are incorrect.