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On 01 July 2022, Persian Ltd acquired 551,250 ordinary shares of Sumo Ltd, that is, Persian Ltd holds 70% shares in Sumo Ltd. The purchase consideration was as follows:

• Cash paid $ 950,000
• A deferred cash settlement to be paid in three years’ time of $ 475,000
• By an exchange of one share in Persian Ltd for every four shares in Sumo Ltd. The market price of Persian Ltd share at the date of acquisition was $ 2.95 and the market price of each Sumo Ltd share at the date of acquisition was $ 3.15

Legal fees associated with the acquisition were $ 10,500.

The discount rate of Persian Ltd is 10 %.

(a) Calculate the fair value consideration (Costs of investment) transferred to acquire control of Sumo Ltd at the date of acquisition. Your answer should include a brief explanation if any of the above issue(s) is/are not required to be accounted in your working(s).                    

Pittman Company is a small but growing manufacturer of telecommunications equipment. The company has no sales force of its own; rather, it relies completely on independent sales agents to market its products. These agents are paid a sales commission of 15% for all items sold.

Barbara Cheney, Pittman’s controller, has just prepared the company’s budgeted income statement for next year as follows:
 

*Primarily depreciation on storage facilities.

As Barbara handed the statement to Karl Vecci, Pittman’s president, she commented, “I went ahead and used the agents’ 15% commission rate in completing these statements, but we’ve just learned that they refuse to handle our products next year unless we increase the commission rate to 20%.”

“That’s the last straw,” Karl replied angrily. “Those agents have been demanding more and more, and this time they’ve gone too far. How can they possibly defend a 20% commission rate?”

“They claim that after paying for advertising, travel, and the other costs of promotion, there’s nothing left over for profit,” replied Barbara.

“I say it’s just plain robbery,” retorted Karl. “And I also say it’s time we dumped those guys and got our own sales force. Can you get your people to work up some cost figures for us to look at?”

“We’ve already worked them up,” said Barbara. “Several companies we know about pay a 7.5% commission to their own salespeople, along with a small salary. Of course, we would have to handle all promotion costs, too. We figure our fixed expenses would increase by $3,900,000 per year, but that would be more than offset by the $5,200,000 (20% × $26,000,000) that we would avoid on agents’ commissions.”

The breakdown of the $3,900,000 cost follows:

“Super,” replied Karl. “And I noticed that the $3,900,000 equals what we’re paying the agents under the old 15% commission rate.”

“It’s even better than that,” explained Barbara. “We can actually save $119,600 a year because that’s what we’re paying our auditors to check out the agents’ reports. So our overall administrative expenses would be less.”

“Pull all of these numbers together and we’ll show them to the executive committee tomorrow,” said Karl. “With the approval of the committee, we can move on the matter immediately.”

Required:

1. Compute Pittman Company’s break-even point in dollar sales for next year assuming:

a. The agents’ commission rate remains unchanged at 15%.

b. The agents’ commission rate is increased to 20%.

c. The company employs its own sales force.

2. Assume that Pittman Company decides to continue selling through agents and pays the 20% commission rate. Determine the dollar sales that would be required to generate the same net income as contained in the budgeted income statement for next year.

3. Determine the dollar sales at which net income would be equal regardless of whether Pittman Company sells through agents (at a 20% commission rate) or employs its own sales force.

4. Compute the degree of operating leverage that the company would expect to have at the end of next year assuming:

a. The agents’ commission rate remains unchanged at 15%.

b. The agents’ commission rate is increased to 20%.

c. The company employs its own sales force.

Use income before income taxes in your operating leverage computation.

Give an example of when you might utilise Microsoft Excel's Fill tool and describe its function.

a) Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. 

b) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.

2. Graph the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand

Model 1: One plan to secure the roller coaster is to use a chain fastened to two beams equidistant from the axis of symmetry of the roller coaster. You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.

3. Write the equation you would need to solve to find the horizontal distance each beam is from the origin.

4. Algebraically solve the equation you found in step 3.Round your answer to the nearest hundredth.

5. Explain where to place the two beams. 

Model 2: Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is. The cable and the strut will intersect.

6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. 

7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. 

Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart.

*Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.

10. Explain where to place the beam.

Hi, what years are these lecture notes from please?

In a quadratic equation, why is the least value always equal to?

You have been hired by a file hosting streaming service to write a program that will calculate the cost of a user to store and stream audio files. The streaming platform hosts two types of audio files: MPEG-Layer 3 (MP3) and Waveform Audio (WAV). These files can be streamed in three different sound qualities, where WAV files can also be streamed in Mono or Stereo. Your source code must use menu-driven logic to allow for the user to enter the following audio file information: the file type, the bitrate of sound quality, and the sound type (for WAV files). After entering the audio file information, the user must enter the duration of the file in minutes and seconds. On this streaming service, files have a maximum duration of 180 total minutes per file. Once the file information and the duration of the stream have been entered, the file size must be calculated in Megabytes (MB) based on the file information and duration. For metrics purposes, the cost per minute of the stream as well as the cost per MB of the stream must be calculated. Calculate the total cost of the stream including tax and display a bill for the stream of the file. See the Sample Output. The streaming service tax rate is 7.23%. Use named constants (declared in your program using the 'const double ' naming convention) to hold the cost per minute (bitrate) of each of audio quality types, the base subtotal of the stream (based on duration in total minutes and seconds), and the streaming service tax rate. Use the constants in your calculations and wherever else they are appropriate in your program.

Use the following table to calculate bitrates for streams based on File Types, Sound Type (where applicable) and Sound Quality. Each bitrate must be stored in a named constant in your source file based on the instructions above:

NOTE - MP3 Files on this platform do not have 'Sound Type' attributes, only WAV files.

Use the following table to calculate the subtotal based on the duration of the stream in total minutes and seconds.

NOTE: Each base subtotal must be stored in a named constant per the instructions above.

Steps:

1. Add a menu to offer the user a choice of processing a single recording file, processing multiple recording files, or quit the program. This menu must consist of the first outputs displayed when your program begins executing. The menu format should match the one in the Sample Run Video.  
2. If option A is selected, the program must allow for the user to enter and process the same information for a single audio file from project 1. 
3. Allow the user to continue making menu choices until they choose the option to quit. Always display the menu before prompting the user for a menu option.  Properly handle an invalid menu choice. Your program code must allow the the user to have an unlimited number of chances to enter a valid menu choice.
4. Update all previous input validations from Project 1 to allow the user unlimited chances to enter valid information if an invalid input of a menu choice or value is entered. Since this is a level 100 course, cross data type input validation is not required.
5. Add functionality to display randomly generated recordings. When the user selects the option to process multiple recording files, file information must be created and displayed for every file generated. The user must be asked to enter the number of recording files they would like to generate, then random values must be used to generate the audio file type (MP3 or WAV), the bitrate quality, and the mono or stereo file type (if a WAV file is generated), and the duration in minutes and seconds (if necessary up to 180 total minutes per recording). Each audio file information display generated should present the recording number, file type (MP3 or WAV), the sound type (Mono or Stereo, if a WAV file is generated), the bitrate quality of the file, the duration of the recording in minutes (and seconds, if necessary), the file size, subtotal, cost per minute of the recording, the cost per MB of the recording, the streaming tax for the file, and the total cost for the file stream. See the Sample Run Video for what each audio file output must contain. The example contains 5 outputs, but your program must be able to process any number of recordings based on the number of recordings the user chooses. Validate the input of the number of recordings so that the user must enter at least 1 recording and no more than 25 recordings. Give the user an unlimited amount of chances to enter the a valid number of recordings. Once all of the information from the recordings has been processed, display the total recordings streamed on the instance of this option being selected, the total MB streamed, the total duration of streams in minutes and seconds, and the total cost of all streams generated. This logic must execute in the event that option B is selected from the main menu.
6. If option C is selected from the main menu, the program must quit.

1. Short Response1.Use the All-Item Consumer Price Index on the Statistics Canada website (baseyear=2002) to respond to the following questions. Specifically look at Table 18-10-005-01.1Assume that all prices are provided in Canadian dollars, and show your work.(5%each)(a) In 1955, a two-story detached house, with a large lot, in downtown Toronto (DavisvilleVillage) sold for$30,000. How much is this in 2020 dollars?(b) In 1954, the average family income in Canada was$4,136. How much is this in 2020dollars?(c) You manage a Toronto hedge fund from 2000 to 2010. Over this period of time, youmake your clients a 10% return on their money. For example, someone who invested$100,000 with you in 2000 has$110,000 in 2010. Is this performance good, when adjustedforinflation?(d) In 2002, the average spot price of silver was$4.60. In 2020, the average spot pricehad risen to$20.69. By how much percent has the price of silver risen from 2002 to2020, when adjusted for inflation?2(e) In 1950, an expensive date cost$10. How much would this be in 2020 dollars?(f) Boomers often complain about Zoomers and Millennials being spoiled and lazy. Atypical Boomer may say something like, “When I was in university, my summer job paidfor the tuition.” In 1975, Canadian tuition was$551. How much is this in 2020 dollars?1See here:              
2. 2.In the future, “you will own nothing and you will be happy.”Jack is a lowly office worker in 2030, and represents the typical consumer. He onlyspends his money on three items: his daily food cube (which provides all of the necessarymacronutrients and calories for the day in the palm of your hand!), Uber rides, and renton his 250 square foot apartment (which is sometimes used as a meeting space and lovehotel).Jack’s annual consumption is 365 food cubes, 600 Uber rides, and 12 rental payments.Let2029be the base year, and assume that the CPI for 2030 is 150.Year Price of Food Cube Price of Uber Ride Price of Rental Payment2030$15$30$6652031$20$40$1,0002032$25$40$3,3302033$30$35$10,000(a) Calculate the CPI for 2031, 2032, and 2033. Show your work.(15%)(b) Now let 2030 be the base year. Calculate the CPI for 2031, 2032, and 2033. Showyour work.(15%)3.Suppose that the United States and Canada both use a gold standard, so that eachunit of currency is backed by a fixed amount of gold. This means, in practical terms,that whenever someone goes to the bank or a government exchange window, that theycan demand gold in exchange for their cash.Briefly explain how this would affect each of the following situations.(5% each)(a) The exchange rate between Canada and the United States (i.e. how many Canadiandollars can be exchanged for an American dollar).(b) Inflation in the United States over the long-term.(c) Long-term business planning in Canada.(d) Saving decisions in the United States.4.In each of the following cases, explain clearly how the CPI might misrepresent changesin consumer prices (Commodity substitution bias, Introduction of new goods, or Un-measured quality changes). In each case, speculate as to whether CPI overstates orunderstates consumer expenses.(5% each)(a) By 1990, expensive personal computers became a common expenditure in consumers’baskets. However, some governments were still calculating the consumer’s basket usinga 1975 survey.(b) Between 2007 and 2015, there were significant improvements in smartphones.(c) Compared to 1970, households in 2015 took more vacations.(d) Food quality has deteriorated over time, even as consumers purchase the sameamount.5.Is each of the following situations an example of structural, frictional, or cyclicalunemployment? You do not need to explain your answer. (2% each)2            
3. (a) All nations of the world enact strict anti-pornography laws,3causing a permanentreduction in demand for OnlyFans.(b) In the spring and summer, university graduates enter the labour force to seek work.(c) Robot physicians, programmed with medical guidelines, replace human physicians.(d) The 2008 financial crisis led to massive layoffs in the financial industry.(e) A number of Chad doctors, lawyers, and professors quit their jobs to seek work inagriculture.46.Use the data below to answer the ensuing questions. Show your work. (5% each)Item ValueUnemployment Rate 10%Labour Force Participation Rate 70%Not in Labour Force 300,000 persons(a) How many people are in the labour force?(b) How many people are unemployed?(c) What is the total adult population in this economy?

In mobile phones what is considered bloatware ? 

7) The time it takes for a statistics professor to grade an exam is normally distributed with a mean of 9.7 minutes and a standard devation of 1.9 minutes. There are 50 students in the professor's class. What is the probabilty that more than 8 hours are needed to grade all of the exams? (Report your answer to 4 decimal places.)

8) The daily productivity of a factory worker is normally distributed with a mean of 100 units and a standard deviation of 22 units. What is the probability that  the average number of units produced in one day by 9 randomly selected workers is less than 90 units? (Report your answer to 4 decimal places.)

9) A coffee shop in a large office building provides coffee for the occupants in the building. The coffee shop manager has determined that the mean number of cups of coffee an employee consumes in a day is 2 with a standard deviation of 0.9. A new business that has located in the building intends to have 150 new employees. What is the probability that the new employees will consume more than 285 cups of coffee per day? (Report your answer to 4 decimal places.)

10) The number of hamburgers consumed per month by undergraduate students is normally distributed with a mean of 8.5 and a standard deviation of 1.75. What is the probability that in a random sample of 28 students more than 231 hamburgers are consumed? (report your answer as a decimal to 4 decimal places) 

11) A pharmaceutical manufacturer of aspirin claims that the proportion of headache sufferers who get relieve with two aspirins is 66%. What is the probability that in a random sample of 250 headache sufferers, more than 70% obtain relief? (Report your answer to 4 decimal places.)

please explain how to do this in excel along with the answers.