A measurement of cancer is taken in a population of 40,000 individuals. 3,500 individuals are found to be living with cancer for past 6 months and additional 1,200 individuals were recently diagnosed with cancer. What is the the prevalence of cancer in this population?
11.75%
8.75%
3%
1.175%

Answers

Answer 1

The prevalence of cancer in a population of 40,000 individuals, which 3,500 individuals are found to be living with cancer for past 6 months and additional 1,200 individuals were recently diagnosed with cancer is 11.75% (the answer is A).



What is population?

It typically refers to the number of people in a single area, whether it be a city or town, region, country, continent, or the world.

Now, let's calculate the prevalence of cancer in this population.

Given from question

Total population = 40,000

3,500 people are found to be living with cancer for the past 6 months

1,200 additional people recently diagnosed with cancer as well.

Prevalence of cancer = people found in cancer for the past 6 months + new additional people / total population

= 3,500 + 1,200 / 40,000

= 4,700 / 40,000

= 0.1175

= 11.75%

Therefore, the prevalence of cancer in this population is 11,75% and the answer is A.  


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Related Questions

Write an elevator pitch for someone that will start their own beauty salon/barber shop

Answers

An effective technique to introduce your company's goals and pique interest in your goods or services is through an elevator pitch. A compelling pitch will draw in potential.

Product: What does that mean?

The object being sold is referred to as a product. A service or even an object both qualify as products. It might take on a physical, virtual, or cyber form. Every product has a cost associated with it, and each one has a price.

Is a remedy a thing?

The easiest way to distinguish between a product and a solution is to say that a product is what you have made and what it is capable of. A business outcome who offers your clients quantifiable value is a solution.

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Write down three key takeaways from the home-buying process in the space below.

Answers

The three takes aways  from the home-buying process are, before going house searching,

research the housing market and be pre-approved for a mortgage.Engage the services of a competent real estate agent to walk you through the process and bargain on your behalf.Before closing, do a comprehensive house inspection to discover any potential concerns or needed repairs.

What is the Home-Buying Process?

Purchasing a house entails locating a suitable property, obtaining financing, making an offer, obtaining a home inspection, and finalizing the transaction.

If you can't afford a large down payment, national and state first-time buyer programs may be helpful. It's critical to maintain your property and save money once you've moved in.

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A banking institution offers different investment programs for young couples, families, and retired individuals. What type of consumer segmentation is
this?
A. psychographic segmentation
B. demographic segmentation
C. behavioral segmentation
D. geographic segmentation

Answers

Answer:

demographic!!!

Speaking effectively, writing concisely, and listening attentively are all examples of the transferable skill of
communication
human relations
organization, management, and leadership
research and planning

Answers

Answer: communication

Answer:

Its communication and i am 100% possitive ive took the test.

Explanation:

Microbiotics currently sells all of its frozen dinners cash-on-delivery but believes it can increase sales by offering supermarkets 1 month of free credit. The price per carton is $160, and the cost per carton is $95. The unit sales will increase from 1,110 cartons to 1,170 per month if credit is granted. Assume all customers pay their bills and take full advantage of any credit period offered.

Required:
If the interest rate is 1% per month, what will be the change in the firm's total monthly profits on a present value basis if credit is offered to all customers?

Answers

The change in Microbiotics' total monthly profits on a present value basis if credit is offered to all customers is $2,386.61 positive.

What is the present value?

The calculation of the present value involves the discounting of the interest rate from the future cash flows.

The present value can be computed using the present value table or an online financial calculator.

Data and Calculations:

Price per carton = $160

Cost per carton = $95

Profit per carton = $65 ($160 - $95)

Total profit for 1,110 cartons = $72,150 ($65 x 1,110)

Total profit for 1,170 cartons = $76,050 ($65 x 1,170)

Cost of credit = $760.50 ($76,050 x 1%)

Change in profit = $75,289.50 ($76,050 - $760.50)

Discount factor of 1% = 0.990

Present value of $75,289.50 at 1% in a month's time = $74,536.61 ($75,289.50 x 0.990)

Thus, the change in Microbiotics' total monthly profits on a present value basis if credit is offered to all customers is $2,386.61 positive ($74,536.61 - $72,150).

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discuss the pillars of government sector supply chain management.

Answers

Answer:

Pillar 1 – Vulnerability. ...

Pillar 2 – Management Culture. ...

Pillar 3 – Procurement. ...

Pillar 4 – Operations. ...

Pillar 5 – Demand & Visibility.

Explanation:

hope it's helpful to you

od
Finall Exam
Which of the following is true about a Restricted Entity?
Select the two responses that apply and then Submit
Restricted Entities appear with a ned "Restricted status tag
Assurance clients are Restricted Entities
All public companies are Restricted Entities
Question 5
All mutual funds are Restricted Entities

Answers

assurance clients are restricted

The following is true about a Restricted Entity is Restricted Entities appear with a red " Restricted " status tag and Assurance clients are Restricted Entities. The correct options a and b.

A restricted entity is a user account or connector that has been barred from sending email due to signs of compromise, which commonly include exceeding message sending and receiving limits. If you use the connector to send email, the communication is returned in the form of a non-delivery report (commonly known as an NDR or bounced message).

Any Person who is (i) a financial holding company, (ii) a bank holding company, (iii) a foreign bank subject for the BHCA, (iv) a savings and loan holding company under the Home Owners' Loan Act of 1933, as amended, or (v) an investment advisor, an investment company, or a broker-dealer is a Restricted Entity.

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The question is incomplete but the complete question most probably was:

Which of the following is true about a Restricted Entity?

Select the two responses that apply and then Submit

a.Restricted Entities appear with a ned "Restricted status tag

b.Assurance clients are Restricted Entities

c.All public companies are Restricted Entities

d.All mutual funds are Restricted Entities

WHEN MUST A TAXPAYER WHO HAS RECIEVED STOCK APPRECIATION RIGHTS FROM AN EMPLOYER INCLUDE THE VALUE OF THE RIGHTS IN INCOME

Answers

Answer:

"There are no federal income tax consequences when you are granted stock appreciation rights. However, at exercise you must recognize compensation income on the fair market value of the amount received at vesting. An employer is generally obligated to withhold taxes. Depending on the rules of your plan, the employer may satisfy that withholding obligation by withholding cash or shares. The remaining net proceeds will be deposited into a brokerage account. If you receive net shares and sell them at a later point, the appreciation in value of the shares from the time of exercise to the time of sale will be treated as a capital gain or loss. Whether it is a long-term or short-term gain or loss will depend on how long the shares are held."

Explanation:

I don't know if this helps, but here is a quate i found.

https://www.fidelity.com/webcontent/ap002390-mlo-content/18.09/help/learn_stock_appreciation_rights.shtml

Manco Manufacturing Company paid cash for wages of production workers. Which of the following choices reflects how this event would affect the Company's balance sheet and income statement? Assets Expense = Net Income Equity n/a Ð + - = + + = B Liability + n/a n/a + n/a n/a Revenue n/a n/a n/a n/a + = Ñ + + n/a = n/a n/a n/a n/a D = + Multiple Choice Option A X Option B Multiple Choice Option A X Option B Option C Option D

Answers

Assets equal + -

Equity and liability are unaffected - N/A

Net income, costs, and revenue are unaffected by this - N/A

Which of the following best describes how costs for products move through a manufacturing company?

When a product is sold, the cost is transferred from an asset account (Inventory) to an expense account (Cost of Goods Sold).

What does revenue mean exactly?

The money produced from routine business activities is known as revenue and is calculated by multiplying the average sales price by the number of units sold.

                            Costs must be subtracted from the gross income amount (or top line) in order to compute net income. Revenue is another word for sales on the income statement.

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154 divided by 2055 is what percentage

Answers

Answer:

≈ 7,49%

Explanation:

first you divide 154 with 2055 and get 0,074929...

then you multiple that number with 100/100

and then that is \(\frac{7,49..}{100}\) which is 7,49% (approximately)

How are charts inserted into a PowerPoint slide?

Answers

Charts inserted into a PowerPoint slide will be done with the help of the insert menu.

To insert an Excel chart in a PowerPoint slide following steps will be in use:

Click Insert > Chart as well as select the desired chart to start building a basic chart from scratch in PowerPoint.

Click Chart under the Exhibits group under the Insert tab.

Press the arrows to go through the different chart types in the Insert Chart dialogue box.

Choose OK after selecting what kind of chart you like.

Another method to do the same will be

To copy a chart from Excel into another Office program, select the chart and hit Ctrl+C.

Launch PowerPoint and then hit Ctrl+V to paste the chart there.

Decide how you would like to paste the chart by clicking Paste Options beside it.

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True or false: The primary function of financial accounting is to provide useful financial information to users who are internal to the business. True false question. True False

Answers

I think the answer is true

Acellus
Help Resources
If a corporation makes $20 million in one year,
after taxes are paid (at 35%), that company
will have a net income of
million
A $7
B. $10
C. $13

Answers

Answer:

A) 7 million

Explanation:

20 000 000 X 35÷100 = 7 million

What is the expected return on Andre’s stock portfolio? 9.70% 13.10% 14.55% 7.28% Suppose each stock in Andre’s portfolio has a correlation coefficient of 0.4 (rho = 0.4) with each of the other stocks. If the weighted average of the risk of the individual securities (as measured by their standard deviations) included in the partially diversified four-stock portfolio is 36%, the portfolio’s standard deviation ( σp ) most likely is 36%.

Answers

Answer:

a. 9.70%

Explanation:

Note: Missing word is attached below as picture

Expected Rate of Return = Sum of (Return *Percentage of Portfolio)

Expected Rate of Return = [6.00% *0.20] + [14.00%*0.30] + [11.00%*0.35] + [3.00%*0.15]

Expected Rate of Return = 1.20% + 4.20% + 3.85% + 0.45%

Expected Rate of Return = 9.70%

If weighted average of the risk of the individual securities included in the partially diversified portfolio of four stocks is 36%, then the portfolios standard deviation most likely is > 36%.

What is the expected return on Andres stock portfolio? 9.70% 13.10% 14.55% 7.28% Suppose each stock in

Write a 1-page memo to the CEO. Include each chart (3) and a paragraph per chart. Each paragraph should explain the story of each visualization and explain why visualizations are important.

STEP 2
Income CATEGORIES PERCENTAGE NUMBER
$100,000 to $124,999 8% 2
$125,000 to $149,999 4% 1
$20,000 to $24,999 4% 1
$25,000 to $34,999 29% 7
$35,000 to $49,999 13% 3
$50,000 to $74,999 17% 4
$75,000 to $99,999 21% 5
Decline to answer 4% 1
24
STEP 3
GENDER PERCENTAGE NUMBER
Female 54% 13
Male 46% 11
24

STEP 4
QUESTION RESPONSES PERCENTAGE NUMBER
0 6% 1
2 11% 2
5 28% 5
6 11% 2
7 17% 3
8 11% 2
9 6% 1
10 11% 2
18

Answers

Answer:

[Your Name]

[Your Position]

[Date]

Subject: Insights from our Survey - A Window into the Lives of our Valued Customers

Dear [CEO's Name],

I hope this message finds you well. I wanted to take a moment to share some fascinating insights from the recent survey we conducted among our cherished customer base. To make the data more relatable and easier to grasp, I have transformed the findings into a series of engaging visualizations. These visuals not only bring the data to life but also allow us to truly connect with our customers on a human level. Let's dive into the story behind each visualization and explore why these visual representations are crucial in understanding our customers.

Chart 1: Income Categories - Reflecting the Lives of our Customers

This insightful chart provides a glimpse into the diverse income categories of our survey respondents. As you observe the bars rise and fall, you can visualize the financial landscapes our customers navigate. From the bustling middle-income group, representing 29% of respondents, to the resilient individuals in the $75,000 to $99,999 range, accounting for 21% of participants, we gain an intimate understanding of the financial tapestry that influences their decisions.

By presenting this information in such a humanized manner, we can empathize with the varying needs and aspirations of our customers. This visualization guides us in tailoring our products and services to better address the unique challenges and aspirations of each income segment.

Chart 2: Gender Distribution - Celebrating Diversity and Inclusion

This delightful pie chart celebrates the diversity among our survey participants by highlighting their gender identities. As you glance at the vibrant slices, you witness the vibrant mosaic of our customer base. With 54% of respondents identifying as female and 46% as male, we recognize the importance of inclusivity and strive to ensure our products and services cater to the needs and desires of all genders.

Visualizations like this one allow us to see the human faces behind the data. It reminds us to embrace diversity and equality in our business operations, ensuring that every customer feels heard and valued.

Chart 3: Question Responses - Unveiling Our Customers' Voices

Within this insightful bar chart, we uncover the authentic voices of our customers through their responses to a specific question. The bars rise and fall, revealing the choices they made and their preferences. The most popular response, "5," chosen by 28% of participants, demonstrates the collective sentiment that echoes among our customers. As we observe the varying heights of each bar, we gain a deeper understanding of their thoughts and desires.

Visualizations like this empower us to hear our customers' voices loud and clear. By listening attentively to their responses, we can make informed decisions that resonate with their needs, aspirations, and desires.

In summary, these captivating visualizations humanize our survey data, enabling us to truly connect with our customers and gain invaluable insights. By considering the stories behind each chart, we ensure that our strategies, products, and services align with their lived experiences. Together, we can build lasting relationships, foster inclusivity, and deliver the exceptional experiences our customers deserve.

Thank you for your time and attention. Should you have any questions or require further information, please don't hesitate to reach out.

Warm regards,

[Your Name]

[Your Position]

Explanation:

what is the factor affect the net export of a country

Answers

The factor that affect the net export of a country include:

domestic and foreign incomesrelative price levelsexchange ratesforeign trade policies etc

What is a net export?

This refers to the the difference between the monetary value of a nation's exports and imports over a certain time period.

In conclusion, the net export is derived after the deduction of the total import from the total export in a year.

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true/false. keeping in mind that all in fine fettle's products use ingredients that are of higher quality than the competition's, your food scientists offer you three different formulations. choose the formula that would be most attractive to the target market.

Answers

The statement '' Remembering that all Fine Fine products use higher quality ingredients than the competition, your food scientists offer you three different formulations '' is true because these ingredients are refined based on the freshness and naturalness that the best  bring to the table.

Quality does not necessarily mean the most expensive, but it focuses on the freshness of the food. The definition of "fresh" ingredients usually refers to ingredients that have never been frozen and can therefore provide maximum flavor.

Premium can mean any of these things and more:  very pure or high quality source. A value-added ingredient, such as  unique production, fermentation, purification or processing, often protected by patents.

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The correct question is :

true/false. keeping in mind that all in fine fettle's products use ingredients that are of higher quality than the competition's, your food scientists offer you three different formulations

What is the treatment of disability pension income? Select one: a. Not taxable b. Taxable as wages c. Taxable as a pension or annuity d. Taxable as wages until the employee reaches minimum retirement age and as a pension or annuity after the employee reaches minimum retirement age. e. None of these

Answers

Answer: the disability pension income is not taxable.

Explanation:
the disability pension income is not taxable because a resident individual who has certified as a person with disability by the medical authority can claim the tax benefits under the law.

Question 5 Shop A charges $275.00 for an oil change and has a gross oil profit percent of 39.1% for its total oil gross profit 96. Shop B charges $275.00 for an oil change and has a gross oil profit percent of 28.4% for its total oil gross profit . Both shops pay $21.25 per gallon of oil. What is the Profit per Lube for Shop B?​

Answers

To calculate the Profit per Lube for Shop B, we need to determine the total profit made from each oil change and then divide it by the amount of oil used.

First, we need to find the total oil gross profit for Shop B. We know that Shop B charges $275.00 for an oil change and has a gross oil profit percent of 28.4%. This means the gross oil profit is calculated as a percentage of the total price.

Gross oil profit for Shop B = 28.4% of $275.00

                                = (28.4/100) * $275.00

                                = $78.10

Next, we need to calculate the amount of oil used for each oil change. We are given that both shops pay $21.25 per gallon of oil.

Amount of oil used for each oil change = $275.00 / $21.25 per gallon

                                                     = 12.94 gallons (rounded to two decimal places)

Finally, we can calculate the Profit per Lube for Shop B by dividing the total oil gross profit by the amount of oil used.

Profit per Lube for Shop B = Gross oil profit for Shop B / Amount of oil used

                                       = $78.10 / 12.94 gallons

                                       ≈ $6.03 per gallon

Therefore, the Profit per Lube for Shop B is approximately $6.03 per gallon.

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As financial controller at a manufacturing company, you have been advised by a colleague that the sales director is unlawfully declaring fuel benefits as the tax value is high. This has been creating higher profit margins and if declared those margins will go down. There is potential that this could push the company into insolvency, which would result in job losses for 300 employees. You have made the other directors aware of the situation but they have expressed a wish not to disclose the misleading tax bill. You are aware that by declaring this information to the tax authorities, as required by law, that the organization may have to declare insolvency and those 300 employees could lose their jobs. What would you do?​

Answers

Answer:

so many words i cant understand the of it

As the financial controller facing this ethical and legal dilemma, here's a course of action you could consider below:

What would you do?

Seek advice from legal professionals to fully understand the legal implications of not reporting the accurate tax information. This will help you make informed decisions based on the law and potential consequences.

Keep thorough records of your interactions, discussions, and decisions related to this matter. Documentation will be crucial if any legal or ethical issues arise later.

Engage in open and honest discussions with the other directors, emphasizing the potential legal and ethical ramifications of not reporting accurate tax information. Stress the importance of transparency and compliance with the law.

Explore alternative ways to address the issue without causing potential insolvency. This could include discussing options with tax authorities, seeking professional advice on managing tax liabilities, or making changes to the company's financial strategy.

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Tulip Company produces two products, T and U. The indirect labor costs include the following two items:
Plant supervision $700,000
Setup labor (indirect) 300,000
Total indirect labor $1,000,000
The following activity-base usage and unit production information is available for the two products:
Number of setups Direct Labor Hours Units
Product T 200 20,000 900
Product U 200 30,000 1,100
Total 400 50,000 2,000
(a) Determine the single plantwide factory overhead rate, using direct labor hour as the activity base.
(b) Determine the factory overhead cost per unit for Products T and U, using the single plantwide factory overhead rate.
(c) Determine the activity rate for plant supervision and setup labor, assuming that the activity base for supervision is direct labor hours and the activity base for setup is number of setups.
(d) Determine the factory overhead cost per unit for Products T and U, using activity-based costing.
(e) Why is the factory overhead cost per unit different for the two products under the two methods?

Answers

Answer: See explanation

Explanation:

a. Total factory overhead = $1,000,000

Total direct labor hours = 50,000

Rate per hour = $1,000,000/50,000

= $20

Number of labor hours, product T = 20,000

Factory overhead = 20,000 × $20 = $400,000

Number of labor hours, product U = 30,000

Factory overhead = 30,000 × $20 = $600,000

b. Product T, factory overhead = $400000

Units = 900

Per unit factory overhead = $400,000/900

= 444.44

Product T, factory overhead = $600000

Units = 1100

Per unit factory overhead = $600,000/1100

= 545.46

c. Supervision = $700,000

Direct labor hours = 50000

Supervision rate per hour = $700000/50000

= $14

Set up labor = $300,000

Number of setup = 400

Supervision rate per hour = $300000/400

= $750

d. For product T:

Plant Supervision = 20,000 × 14 = 280,000

Set-up labor = 200 × 750 = 150,000

Total cost = 430,000

Number of unit = 900

Factory overhead per unit = 430,000/900 = 477.8

For product U:

Plant Supervision = 30,000 × 14 = 420,000

Set-up labor = 200 × 750 = 150,000

Total cost = 570,000

Number of unit = 1100

Factory overhead per unit = 570,000/1100 = 518.2

e. For the first part, the factory overhead is being divided using direct labor hours.

For the second part, the factory overhead is being aportioned using activity based costing.

In what ways does Nucor empower its employees?

Answers

By implementing top human resource management practices in its workplace, Nucor empowers its staff. These procedures include merit-based hiring, top industry remuneration, etc.

How do companies empower their employees?

A crucial element of empowerment is allowing your employees the freedom to take the initiative and make decisions for your business. To ensure that these actions are in accordance with business goals, it also suggests that there is mutual trust and understanding. A company needs its workers to feel empowered for it to grow sustainably.

What does granting your workers additional power entail?

When a person feels empowered, they are confident in their ability to succeed and are conscious of their capacity for accomplishment. The process through which companies give their workforce what they need for success is known as employee empowerment.

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Suppose you are a human resource professional at a company setting up work
teams for production and sales. Explain at least four legal requirements which need
to be embedded in your pay structure to support this new work arrangement.

Answers

If I were a human resource professional at a company setting up work teams for production and sales, the four legal requirements that need to be embedded in my pay structure to support this new work arrangement are:

The nation's minimum yearly salary.State minimum wage is paid.Minimal wage for the employees.A flat wage for the position.

What will the legal requirements  be about?

A group incentive plan is a form of compensation that bases pay on the collective performance of a team and emphasizes cost-cutting, productivity growth, and achieving organizational objectives.

I supposedly work in human resources for a company that organizes work teams for sales and production and I would suggest the below point to encourage this new work arrangement:

Teams that are unable to function independently are provided group incentive plans. They are only able to function in teams, and the job itself necessitates it.

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According to the box “Making Ethical Decisions: Loyalty or Profitability?," a firm must give its employees __________ before closing and/or moving to another location

Answers

"Making Ethical Decisions: Loyalty or Profitability?" requires a firm to give its employees at least a notice period of 60 days before it can close shop or move to another location.

This requirement enables the employees to get prepared for the effects of the action on their employment status or relocation decisions.

Typically, firms give the following reasons for making a relocation decision:

to reach new marketsto upgrade facilities or equipmentto lower costs or increase cash flowto start another line of business not suitable in the present locationto consider the quality of life of its employees.

Thus, no matter the reason for closing or moving to another location, the firm should endeavor to give 60 days' notice to its employees.

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Which question can best help a consumer assess risk when purchasing insurance? How much must be paid to make a claim? What problems are most likely to happen? What are the possible payouts on a claim? How much are the monthly premiums?

Answers

Answer: the answer is : What problems are most likely to happen?

Explanation:

Answer:

b

Explanation:

Which of the following economic systems best describes the economy of the United States?
O Marxism
O command
o socialism
O free-market capitalism
closed

Answers

Answer:

Free-market Capitalism

The BEST description of the economic system of the United States is D. free-market capitalism.

What is free-market capitalism?

Free-market capitalism is known for the following features:

Private individuals control the factors of production.It is a purely capitalist economic system.The laws of supply and demand regulate production, labor, and the marketplace.An unregulated system of economic exchange reigns.Non-existence of or minimal presence of centralized economic interventions.

The best description of the economy of the United States is not:

MarxismCommandSocialismClosed economic system.

But the BEST description of the economic system of the United States is D. free-market capitalism.

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Think of a time when effective or ineffective communication affected your success at home, school, or work.

In paragraph 1, describe what happened, in detail.

In paragraph 2, explain how strong communication contributed to or could have improved the situation’s outcome. Be specific.

Answers

Answer:

Ineffective communication affected my success when I wanted to sell my skincare product to an Asian who did not really have a full grasp of the English language.

Explanation:

I experienced ineffective communication which was caused by a language barrier between me and an Asian woman to whom I wanted to sell a skincare cream. I tried explaining the benefits of the cream to her, but she seemed not to understand what I was saying. At the end of the day, she did not purchase the cream.

In order to sell skincare creams, a person must communicate the full benefits of such cream to a potential buyer since he/she might already have had something he uses before. If the woman had a strong grasp of the English language, it would have been easier for me to convince her to buy the cream as I would have employed persuasive terminologies that would appeal to her.

An example of ineffective communication was when I went to France for vacation and I tried communicating with someone in English but he didn't understand me.

Ineffective communication simply means a form of communication where the receiver can't understand the message and therefore the message wasn't conveyed properly.

An example of ineffective communication was when I went to France for vacation and I tried communicating with someone in English but he didn't understand me.

The communication was ineffective because we were both speaking different languages. It'll have been effective if we spoke the same language.

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Q1. A manufacturing firm has discontinued production of a certain unprofitable product
line. This created considerable excess production capacity. Management is considering to
devote this excess capacity to one or more of three product 1,2 and 3. The available capacity
on the machines which might limit output are given below:
Machine type Available time
(in machine hours per week)
Milling
machine
250
Lathe 150
Grinder 50
The number of machine hours required for each units of the respective product is given
below;
Machine type Productivity (in machine hours/unit)
Product 1 Product 2 Product 3
Milling 8 2 3
Lathe 4 3 0
Grinder 2 0 1
The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of
each product the firm should produce in order to maximise profit ? Solve the problem by
simplex method.

Answers

The simplex method is a linear programming technique used to find the maximum value of a linear objective function subject to constraints represented by linear equations or inequalities.

How do we use this method?

Here's how you can solve this problem using the simplex method:

Formulate the problem as a linear program:

The objective is to maximize the total profit, which is given by 20x1 + 6x2 + 8x3, where x1, x2, and x3 are the number of units of products 1, 2, and 3, respectively. The constraints are the available machine time, which are:

8x1 + 4x2 + 2x3 <= 250 (milling machine)

3x1 + 3x2 <= 150 (lathe)

x3 <= 50 (grinder)

Create a simplex tableau:

The simplex tableau is a matrix used to keep track of the variables and the coefficients of the objective function and the constraints. The first row of the tableau is the objective function, the rest of the rows are the constraints. The last column is called the "result" column and contains the values of the variables and the objective function.

Choose a basic variable:

In the first iteration, we will choose x1 as the basic variable, since it is the only non-negative variable in the objective function. We will write x1 in terms of x2 and x3 using the first constraint:

x1 = (250 - 4x2 - 2x3)/8

Update the simplex tableau:

Substitute x1 in the objective function and in the rest of the constraints:

20 * (250 - 4x2 - 2x3)/8 + 6x2 + 8x3

3x2 <= 150

x3 <= 50

Check for optimality:

Check if all the coefficients in the objective function are non-negative. If so, the current solution is optimal and the problem is solved. If not, choose the next basic variable and repeat steps 3 and 4.

Repeat steps 3 to 5 until optimality is reached:

In the second iteration, we will choose x2 as the basic variable. Substitute x2 in the objective function and in the rest of the constraints, and check for optimality. Repeat this process until the coefficients in the objective function are non-negative, indicating that the solution is optimal.

The final solution will give the number of units of each product that the firm should produce in order to maximize profit.

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Nevertire Ltd purchased a delivery van costing $52,000. It is expected to have a residual value of $12,000 at the end of its useful life of 4 years or 200,000 kilometers. Ignore GST.

Required:

a) Assume the van was purchased on 1 July 2019 and that the accounting period ends on 30 June. Calculate the depreciation expense for the year 2019–20 using each of the following depreciation methods

 straight-line.

 diminishing balance (depreciation rate has been calculated as 31%).

 units of production (assume the van was driven 78,000 kilometers during the financial year).

b) Record the adjusting entries for the depreciation on 30 June 2021 using a diminishing balance method.

c) Show how the van would appear in the balance sheet prepared at the end of year 2 using the Straightline method.

Answers

Answer:

a.

Straight line method

This method gives a uniform depreciation figure over the lifetime of the asset. Formula is,

= ( Cost - Residual Value) / Useful life

= (52,000 - 12,000) / 4

= $10,000

Diminishing Balance Method

This method applies depreciation at a faster rate so that the assets depreciates faster in it's earlier years.

Formula is,

= Cost * Depreciation rate

= 52,000 * 31%

= $16,120

Units of Production

This method depreciates based on the usage of the asset vs the total capacity of the asset. Assuming the van was driven 78,000 kilometers during the financial year

Formula is,

=  (( Cost - Residual value) * units for the year) / Estimated production capacity

= ((52,000 - 12,000)*78,000)/200,000

= 3,120,000 / 200,000

= $15,600

b.

Date

June 30 2021

DR Depreciation $11,123

CR Accumulated Depreciation $11,123

Working

June 30 2021 Depreciation

= ( Cost - 2020 Depreciation ) * 31%

= (52,000 - 16,120 ) * 31%

= 35,880 * 31%

= $11,123

c. Straight line depreciation is constant so Value at the second year using Straight line will be,

= Cost - 2020 Depreciation - 2021 Depreciation

= 52,000 - 10,000 - 10,000

= $32,000

Balance sheet excerpt,

Particulars Amount

Assets

Fixed assets

Vechicles $32,000

A price at which the demanded quantity is equal to the produced quantity of the product is called the

Answers

A price at which the demanded quantity is equal to the produced quantity of the product is called the equilibrium price.

What is the equilibrium price?

Equilibrium is the point at which the quantity demanded is equal to the quantity supplied. The price at which equilibrium occurs is known as equilibrium price.

When shown a demand-supply graph, the equilibrium point is where the demand curve would cross the supply curve. At the area above the equilibrium point, there would be a surplus. This is because the quantity demanded would be less than the quantity supplied. At the area below the equilibrium point, there would be a scarcity. This is because the quantity demanded would be greater than the quantity supplied.

For example:

Price  Quantity demanded  Quantity supplied

12                100                           200

10                 150                            150

8                     200                         100

The equilibrium price is 10.

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