Answer:
(a-1) Remaining income (loss) = $6,000
(a-2) Remaining income (loss) = –$8,000
(b) See (b-1) and (b-2) below for the journal entries.
Explanation:
(a-1) Prepare a schedule showing the distribution of net income assuming net income is $50,000.
Note: See part a-1 of the attached excel file for the schedule showing the distribution of net income.
In the attached excel file, the following is used:
Remaining income (loss) = Net income - Total annual salaries and interest on capital = $50,000 - $44,000 = $6,000
(a-2) Prepare a schedule showing the distribution of net income assuming net income is $36,000.
Note: See part a-2 of the attached excel file for the schedule showing the distribution of net income.
In the attached excel file, the following is used:
Remaining income (loss) = Net income - Total annual salaries and interest on capital = $36,000 - $44,000 = –$8,000
(b-1) Journalize the allocation of net income assuming net income is $50,000
The journal entries will look as follows:
Account Titles and Explanation Debit ($) Credit ($)
Income Summary 50,000
McGill Capital 30,600
Smyth Capital 19,400
(To record allocation of net income.)
(b-2) Journalize the allocation of net income assuming net income is $36,000
The journal entries will look as follows:
Account Titles and Explanation Debit ($) Credit ($)
Income Summary 36,000
McGill Capital 22,200
Smyth Capital 13,800
(To record allocation of net income.)
milk is a heterogeneous mixture how?
Answer:
it gives you white particulates so it is a heterogeneous mixture
Troy Juth wants to purchase new dive equipment for Underwater Connection, his retail store in Colorado Springs. He was offered a $63,000 loan at 8.5% for 24 months. What is his monthly payment by table lookup? (Use Table 14.2)
Note: Round your answer to the nearest cent.
If he was offered a $63,000 loan at 8.5% for 24 months. His monthly payment by table lookup is : $3071.
What is monthly payment?Monthly payment can be defined as the amount a person received on a monthly basis.
First step is to convert the month to year
Month to year = 24 / 12
Month to year = 2 years
Second step is to find the interest using this formula
I = P × R×T
Where:
I = Interest
P = Principal
R = rate
T = time
Hence
I = 63,000 × 2 × 8.5%
I = 10,710
So,
P+ I = 63,000 + 10,710
P+I = 73,710
Now let find the monthly payment:
Monthly payment = 73,710 / 24 months
Monthly payment = $3,071.25.
Monthly payment = $3,071 (Approximately)
Therefore the monthly payment is the amount of $3071
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Explain how each of the following events would affect the equilibrium price and quantity of new textbooks. (Explain which curve(s) would shift and in which direction(s).)
The events that would affect the equilibrium price and quantity of new textbooks include changes in production costs, shifts in student enrollment, changes in government policies etc.
How do these events impact the equilibrium price and quantity?The changes in production costs will shift the supply curve of new textbooks. If production costs increase, the supply curve would shift to the left resulting in decrease in the equilibrium quantity and an increase in the equilibrium price.
But if production costs decrease, the supply curve would shift to the right leading to an increase in the equilibrium quantity and a decrease in the equilibrium price of new textbooks.
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What measures should the business use to monitor its customer service performance?
Draw a correctly labeled loanable funds graph that shows what happens to real interest rates for each of the following situations: (You will have 3 graphs)
The government borrows money to fund a war.
Private investors become more optimistic about the economy.
The government raises personal income taxes (do not consider the change in consumer saving).
In the text box provided, enter the time and date you sent your graphs to your instructor. Please specify if you e-mailed or faxed the graph. Make sure your name and the assignment number are on your paper and that each graph is clearly marked with an a, b, or c. (30 points)
Answer:
1. a) War increases demand for loanable funds, demand curve shifts RIGHT. (Increase in real interest rate)
b) Private investors are optimistic about the economy (i.e. investment opportunities). Demand for loanable funds increases, demand curve shifts RIGHT. (Increase in real interest rate)
c) Tax increase means a decrease in the supply about loanable funds. Supply curve shifts LEFT. (Increase in real interest rate)
2. would most likely increase the supply of loanable funds. If Americans are saving more, then they are spending less money and investing more of it. Remember--saving does not mean "not using it". It means investing it instead of consuming.
3. The interest rate will fall. There is a surplus of loanable funds and the real interest rate will reflect this surplus by falling.
4. decrease in the demand for loanable funds. When output decreases, the return on investment for new projects decreases and investors are less in need of money to fund their ventures.
5. decrease the supply for loanable funds. If they are consuming more, they are saving less.
6. Increase / Decrease. When interest rates increase, growth is reduced because funding economic ventures is now more costly. Sometimes the fed will increase interest rates when it anticipates inflation to increase in order to mitigate economic growth.
Hope this was helpful!
Explanation:
In a case where a man sues a corporation for unsafe business practices, he will have to meet what burden of proof?
a.
Under the laws of man
b.
A preponderance of evidence
c.
Technical reasonability
d.
Beyond a reasonable doubt
In a legal situation whereby a man sues a corporation for unsafe business practices, he will be required to have meet the burden of proof known as a preponderance of evidence.
What is known as preponderance of evidence?In legal sphere, a preponderance of evidence refers to a form of evidence is used in civil lawsuit where a civilian sues a corporation for injury or possibility of injury due to an unsafe working conditions / practices. In this case, the judgement will be in favor of the party who submits a preponderance evidence which is in fact more convincing than the evidence of the opposite party.
Normally, a preponderance evidence is considered as an evidence based on possible accuracy and probability which does not requires further amount of evidence to proof. Therefore, with a preponderance of evidence, the amount of evidence is relevant and has effect in criminal cases.
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Answer:
The answer is B.
Explanation:
Because I took the test and passed with a 100% :)
When applying for a loan, what should you do?
A) You should borrow from an institution close to your home.
B) You should wait until you have a long credit history.
C) You should go to a state that has low interest rates.
D) You should shop around for the best overall deal.
Answer: D). You should shop around for the best overall deal.
Explanation: It makes the most sense to me and is what I would do compared to the other options. Like I don't think I would go out of state for a loan, and obviously waiting for a long credit history isn't beneficial. You can have good credit without having a long credit history. Borrowing from somewhere near your house only is convenient for travel distance. Sorry if I'm wrong!!
When applying for a loan, you should shop around for the best overall deal. This means comparing different lenders and loan product. Therefore, the correct answer is D.
This means to find the one that offers the lowest interest rate, the most favorable terms, and the best repayment plan that suits your needs.
A loan is a sum of money that is borrowed and expected to be paid back to the lender with interest over a set period of time. Loans are typically offered by financial institutions such as banks, credit unions, and online lenders,
Therefore, it is recommended to research and compare different loan options to find the best deal that suits your financial situation and needs.
Thus, the ideal selection is option D.
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successfulness of the competition policy in South Africa
What is the budgeted cost of goods sold given the following for next budget
period (in $'000)? Sales 5,000; Fixed manufacturing costs 2,000; Variable
manufacturing costs are 40% of sales revenue. Inventory levels are expected to
remain constant.
Answer:
what is this i don't know hope I will understand plz don't be angry
According to the revenue recognition standard, a good or service promised to a customer as part of a sales contract is referred to as a(n) __________ _________.
performance obligation
A performance obligation is what the revenue recognition standard refers to when a good or service is guaranteed to a client as a component of a sales contract.
When may revenue actually be recorded throughout the revenue recognition process? The revenue recognition standard defines a performance obligation as a good or service that is offered to a client as a component of a sales contract.The revenue recognition principle, in its simplest form, states that businesses should record their revenues not when the money is received but rather when the service or product is deemed to have been supplied to the client.A performance obligation is a promise to provide a specific good or service, or a range of specific goods or services, as stated by the revenue standard.According to the principle of revenue recognition, income should be recorded as soon as it is received.According to the "matching principle," all expenses incurred in order to produce revenue must be recorded at the same time as revenue.To learn more about performance obligation refer
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Assume that the hypothetical economy of Econoland has 10 workers in year 1, each working 2,000 hours per year (50 weeks at 40
hours per week). The total input of labor is 20,000 hours. Productivity (average real output per hour of work) is $10 per worker.
Instructions: In parts a and b, enter your answers as a whole number. In part c, round your answer to 2 decimal places.
a. What is real GDP in Econoland?
$
b. Suppose work hours rise by 1 percent to 20,200 hours per year and labor productivity rises by 4 percent to $10.40. In year 2, what
will be Econoland's real GDP?
$
c. Between year 1 and year 2, what will be Econoland's rate of economic growth?
percent
In year one, the Econoland economy has 10 workers, each working 2,000 hours per year (50 weeks at 40 hours per week).
a. $200,000
b. $210,080
c. 5.04 percent
What is GDP?Gross domestic product (GDP) is a monetary measure of the market value of all final goods and services produced and sold by countries during a specific time period. Because of its complex and subjective nature, this measure is frequently revised before being considered a reliable indicator. The gross domestic product (GDP) is the monetary value of all finished goods and services produced within a country during a given time period.GDP provides an economic snapshot of a country and is used to estimate the size of an economy and its growth rate. GDP can be calculated in three ways: through expenditures, production, or income. Gross domestic product, or GDP, is a metric used to assess the health of a country's economy.To learn more about GDP, refer to:
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he newspaper reported last week that Bennington Enterprises earned $34.03 million this year. The report also stated that the firm’s return on equity is 12 percent. The firm retains 80 percent of its earnings. What is the firm's earnings growth rate? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What will next year's earnings be? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, e.g., 1,234,567.)
Answer:
(A) 9.6%
(B) 37,296,880
Explanation:
Current earnings for Bennington Enterprise is $34.03 million
The ROE is 12 percent
= 12/100
= 0.12
Retention ratio is 80 percent
= 80/100
= 0.8
(A) The firms earning growth rate can be calculated as follows
= 0.8× 0.12
= 0.096×100
= 9.6%
(B) Next year earnings can be calculated as follows
= 34,030,000 × (1+0.096)
= 34,030,000× 1.096
= 37,296,880
The company acquired a machine on January 1 at an original cost of $ 81,000. The machine’s estimated residual value is $ 15,000, and its estimated life is 20,000 service hours. The actual usage of the machine was as follows:
Year 1 9,000 hours
Year 2 5,000 hours
Year 3 4,000 hours
Year 4 2,000 hours
Explanation:
The company acquired a machine on January 1 at an original cost of $ 81,000. The machine’s estimated residual value is $ 15,000, and its estimated life is 20,000 service hours. The actual usage of the machine was as follows:
Year 1 9,000 hours
Year 2 5,000 hours
Year 3 4,000 hours
Year 4 2,000 hours
Airports Company of South Africa (ACSA) owns and operates principal airports in South Africa. How can ACSA improve the safety and security issue at the major airports in which in operates at?
ACSA improve the safety and security issue at the major airports in which in operates at through the following:
Improvement of screening Lanes.Employment of more rained personnel.Installing pre-security checkpoints.What is Safety?This is defined as a condition in which an individual is protected from harm or any type of danger.
The use of trained personnel and cameras are vital in ensuring that the security in airports are improved so as to prevent accidents and death.
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Tim and Rebecca just had a baby. They received money as baby gifts and want to put it away for the baby's education.
Which of the following is likely to have the highest growth over the next 18 years?
A. U.S. government savings bond
B. Corporate Bonds
C. Credit union checking account
D. Company stocks
Answer:
Credit Union Checking Account is correct answer.
Explanation:
A bank account where you can collect interest by leaving money in there for 18 years it will just be collecting all that interest.
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Analyse the potential consequences of unresolved conflict within a team.
Answer:
Unresolved conflict within a team can have various negative consequences for the team members, the team leader, and the organization as a whole1234. Some of these consequences are:
Reduced morale and motivation: Conflicts affect the emotional and psychological well-being of team members. If conflicts remain unresolved, then employees naturally feel stressed out and unable to focus on their job. When conflicts linger on for longer periods of time, then employees feel uncertain about their role and the future. This mental state is the main cause of their low morale and motivation.Poor communication and collaboration: Conflicts create barriers and distrust among team members. They hinder effective communication and information sharing, which are essential for teamwork and innovation. Conflicts also reduce the willingness and ability of team members to cooperate and coordinate with each other, resulting in inefficiency and errors.Decreased performance and productivity: Conflicts distract team members from their core tasks and goals. They consume time and energy that could be otherwise spent on productive work. Conflicts also impair the quality and quantity of work output, as team members may avoid or sabotage each other’s efforts. Conflicts can also lead to missed deadlines, wasted resources, and lost opportunities.Increased turnover and absenteeism: Conflicts create a hostile and unpleasant work environment for team members. They may cause employees to feel dissatisfied, frustrated, or burned out with their job. This may lead them to seek alternative employment or quit altogether. Conflicts may also cause employees to take more sick leaves or avoid coming to work altogether, which affects the availability and continuity of the team.Damaged reputation and customer service: Conflicts can affect the external image and reputation of the team and the organization. They can damage the relationships with customers, clients, partners, or stakeholders, who may perceive the team as unprofessional, unreliable, or incompetent. Conflicts can also affect the quality and timeliness of customer service, as team members may be less responsive, courteous, or helpful to customersUnresolved conflicts within a team can lead to several negative consequences such as:
Decreased productivity, lower morale, loss of trust ,increased turnover, damage to relationships ,missed opportunities.
-Unresolved conflicts can cause tension and distractions, which can decrease productivity and disrupt the work environment.
-Conflicts can lower team morale and create an atmosphere of negativity, which can lead to reduced job satisfaction and motivation.
-Conflicts can cause team members to lose trust in one another, which can make it difficult for them to work together effectively.
-Conflicts can distract team members from important opportunities and prevent them from reaching their full potential.
Therefore, these are the consequences of unresolved conflicts within a team.
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The Notary Signing Agent should NEVER collect a copy or take a photo of the Requestors ID.
The Notary Signing Agent should NEVER collect a copy or take a photo of the Requestor's ID is a true statement.
What is a Requestors ID?Requestor ID is termed as an identifier utilized that is termed for the vendors to demand network tokens from the card organizations.
A Notary Signing Agent shouldn't snap a picture of an ID to send it to the bank. This is definitely not a safe method for transmission. Since the card-on-record network tokens are shipper explicit, there is higher trust in giving banks and diminished extortion.
The Notary Signing Agent ought to: Suggest that the borrower contact the moneylender's agent prior to marking the reports. . One actually should cautiously survey the End Revelation to ensure that the provisions of one's advance are the thing you are anticipating.
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In what situation(s) might you want to use a more specific heading (like “Influence of Increased Textbook Costs on Quality of Instruction” instead of just “Textbook Costs”)? Select all that apply. a. if the document is several pages long and you need to remind readers of the overall topic b. always – every heading should include the subject/topic again. c. never – a heading should avoid repeating the subject/topic. d. only when using an advance organizer
The situation(s) to use a more specific heading (like “Influence of Increased Textbook Costs on Quality of Instruction” instead of just “Textbook Costs”) is
if the document is several pages long and you need to remind readers of the overall topicalways – every heading should include the subject/topic again.What is the importance of heading?Heading plays a significant role in any text as it helps to navigate the reader about the information present in the text and helps them to understand the objective of writing.
A more specific heading is used when reminding readers about the topic as well as to make readers informed about the subject and topic in any literature piece.
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can you help with 1040 form for acct 130 class
Answer:
what is the question lol? I could probably help you out !
summary of Chapter three Planning in Organization management subject
are entrepreneurs made
Answer:
Yes.
Explanation:
Entrepreneurs are not born. They are made. Entrepreneurs are not like athletes; they don’t need a natural inherent body and muscles. An athlete’s child may grow up an athlete, but it would not happen in an entrepreneur’s family. Many businesses bankrupted every day, including some entrepreneur’s families. However, entrepreneurs are naturally made, and they own some unique qualities and need some training and experience as athletes.
Answer:
Yes and no.
Explanation:
Successful entrepreneurs are born, they just need to know how to apply their traits in a certain way to most benefit them. However, you can not be fully successful without putting in effort and hard work.
Part 2 - Drill and Kill- Answer the following questions.
Units produced per hour
Baskets
Rings
Isaac
Sarah
6
5
24
10-
1. Is this an output problem or an input
problem? OUTPUT
2. What is Isaac's opportunity cost of
producing 1 basket?
3. What is Sarah's opportunity cost or
producing 1 ring?
4. What is Isaac's opportunity cost of
producing 1 ring?
5. What is Sarah's opportunity cost of
producing 1 basket?
6. Who has the absolute advantage in
producing baskets?
7. Who has the absolute advantage in
producing rings?
8. Who has the comparative advantage in
producing baskets?
9. Who has the comparative advantage in
producing rings?
10. What would acceptable terms of trade
be between Isaac and Sarah?
Canada
Mexico
Hours to produce one unit
Skyscraper
Space Shuttle
600
800
500
1000
1. Is this an output problem or an input
problem? Out Put
2. What is Canada's opportunity cost of
producing skyscraper?
3. What is Mexico's opportunity cost or
producing 1 space shuttle?
4. What is Canada's opportunity cost of
producing 1 space shuttle?
5. What is Mexico's opportunity cost of
producing 1 skyscraper?
6. Who has the absolute advantage in
producing skyscrapers?
115
7. Who has the absolute advantage in
producing space shuttles?
8. Who has the comparative advantage
in producing space shuttles?
9. Who has the comparative advantage
in producing skyscrapers?
10. What would acceptable terms of
trade be between Canada and
Mexico?
The responses to each question on opportunity cost are as follows:
This is an output problem.Isaac's opportunity cost of producing 1 basket is 5 rings.Sarah's opportunity cost of producing 1 ring is 0.4 baskets.Isaac's opportunity cost of producing 1 ring is 0.2 baskets.Sarah's opportunity cost of producing 1 basket is 2.5 rings.What are the responses to other questions?The following are responses to the questions on absolute advantage:
6. Isaac has the absolute advantage in producing baskets.
7. Sarah has the absolute advantage in producing rings.
8. Isaac has the comparative advantage in producing baskets.
9. Sarah has the comparative advantage in producing rings.
10. Acceptable terms of trade would depend on the specific negotiation between Isaac and Sarah. However, a possible acceptable term of trade could be exchanging 1 basket for 3 rings.
1. Is this an output problem or an input problem?
- This is an output problem.
2. What is Canada's opportunity cost of producing a skyscraper?
- Canada's opportunity cost of producing a skyscraper is 800 space shuttles.
3. What is Mexico's opportunity cost of producing 1 space shuttle?
- Mexico's opportunity cost of producing 1 space shuttle is 0.625 skyscrapers.
4. What is Canada's opportunity cost of producing 1 space shuttle?
- Canada's opportunity cost of producing 1 space shuttle is 0.75 skyscrapers.
5. What is Mexico's opportunity cost of producing 1 skyscraper?
- Mexico's opportunity cost of producing 1 skyscraper is 1.6 space shuttles.
6. Who has the absolute advantage in producing skyscrapers?
- Canada has the absolute advantage in producing skyscrapers.
7. Who has the absolute advantage in producing space shuttles?
- Mexico has the absolute advantage in producing space shuttles.
8. Who has the comparative advantage in producing space shuttles?
- Mexico has the comparative advantage in producing space shuttles.
9. Who has the comparative advantage in producing skyscrapers?
- Canada has the comparative advantage in producing skyscrapers.
10. What would acceptable terms of trade be between Canada and Mexico?
- Acceptable terms of trade would depend on the specific negotiation between Canada and Mexico. However, a possible acceptable term of trade could be exchanging 1 space shuttle for 2.5 skyscrapers.
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Shahia Company bought a building for $73,000 cash and the land on which it was located for $110,000 cash. The company paid transfer costs of $15,000 ($5,000 for the building and $10,000 for the land). Renovation costs on the building before it could be used were $32,000.
The total cost of the Building, given the transfer costs and the renovation costs, would be $ 110, 000
How to find the cost of the asset ?When it comes to assets, there is something called a capitalized cost. A fixed asset's cost base on a company's balance sheet is increased by an expense known as a capitalized cost. Fixed asset construction or acquisition involves capitalized costs. Capitalized expenses are recognized over time through depreciation or amortization rather than being expensed in the period in which they were incurred.
To better align the cost of using an asset with the period of time during which the asset is producing income, costs are capitalized.
The capitalized cost for the building is:
= Purchase cost + Transfer cost + Renovation cost
= 73, 000 + 5, 000 + 32, 000
= $ 110, 000
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The question is:
What is the capitalized cost of the building to Shahia Company?
Which of the following might be part of a business case in favor of the mount lemmon fire district hiring employees with a broader range of ages
The option that demonstrates a business case in favor of the Mount Lemmon fire district hiring employees with a broader range of ages is: Firefighters who are older might also have more valuable experience.
A business case that favors an entity is one that is beneficial to the growth of the business.
When a business decides to hire individuals from a younger age bracket to an older age bracket, they are doing this not just to suit the law but to also benefit themselves. If the older firefighters have more experience on the job, then they have more capable hands to help their business.So, hiring older firefighters with more experience might be a purpose of hiring employees with a broader age range.
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A company that accepts responsibility for a problem and does all that society expects to solve that problem is using:
a defensive strategy.
a proactive strategy.
an accommodative strategy.
a reactive strategy.
A tobacco company taking a reactive stance to the claims that smoking causes cancer would:
1. stop selling cigarettes as they are harmful to your health and actively warn consumers about the dangers of tobacco use.
2. create an advertising campaign, suggesting that breathing secondhand smoke was less dangerous than drinking milk.
3. sponsor advertisements on the impact that smoking can have on your health.
4. place a warning label on cigarette packages about the dangers of smoking.
Generally, there ___ a trade-off between being socially responsible and economic performance.
A company that accepts responsibility for a problem and does all that society expects to solve that problem is using: an accommodative strategy.
What is a Reactive Strategy?This refers to the type of strategy that a person uses to respond to issues when they happen.
Hence, we can see that a tobacco company taking a reactive stance to the claims that smoking causes cancer would: 4. place a warning label on cigarette packages about the dangers of smoking.
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Which of the following statements accurately describes how an event will impact supply? Choose 1 answer: Choose 1 answer: (Choice A) A An increase in costs of production will cause an increase in the supply curve (Choice B) B An increase in demand will cause an increase in supply (Choice C) C An increase in price will cause supply to increase (Choice D) D A decrease in price will cause supply to increase (Choice E) E A decrease in resource costs will cause an increase in the supply curve
The statement that accurately describes how an event will impact supply is option B An increase in demand will cause an increase in supply.
What happens when supply and demand both rise?If demand and supply both rise, more will be purchased by consumers and more will be produced by businesses. The impact on price will, however, depend on the relative amount of the two changes because consumers place a higher value on each unit while producers are willing to supply each unit at a lower price.
Therefore, With everything else remaining the same, an increase in demand will result in a rise in the equilibrium price and an increase in supply. Reduced demand will result in a drop in the equilibrium price and a reduction in supply.
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what is procurement
what is procurement
Procurement is the way companies purchased goods for their business use.
What is procurement?Procurement can be defined as the way in which a firm or a company tend to obtain goods which they are going to make use of for their business or to purchase goods to use for their day to day business operation.
One of the advantage of procurement is that it enables companies to smoothly carryout their business operation as the items they need for their business operation has been made procured or made available.
Therefore we can conclude that procuring office items for business purpose are essential.
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Which of the following are the most beneficial credits?
O Nonrefundable tax credits
O Refundable tax credits
O Partially refundable credits
b. Refundable tax credits Tax credits that are refundable are so-called because they are refundable if you meet the requirements and the credit's value exceeds the tax you must pay.
Define and Refundable and Nonrefundabletax?Refundable tax credits not only lower your federal tax liability, but they also have the potential to exceed your tax liability and produce a refund. Consider a scenario in which you qualify for a $1,000 child tax credit but only owe $200 in taxes. The extra $800 is considered a refund to which you are qualified.
On the other hand, a nonrefundable tax credit limits your refund to the amount you owe. For instance, if you qualify for the American Opportunity Tax Credit.
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02. Which of the following is not a general management function during staffing? (a) Employee training and development (b) Employee performance appraisal (c) Development of employee according to expertise (d) Follow-up by the manager who delegated the responsibility
Development of employee according to competence is not a generic management function during staffing.
What are the four objectives of performance reviews?y identifying employees' skills and weaknesses, put the right people in the right jobs. to maintain and assess a person's capacity for growth. to provide employees with feedback on their work and pertinent status.
What do supervisors often concentrate on the given statement?Managing a team is one of a supervisor's most crucial responsibilities. Supervisors frequently organise and lead the team's efforts to finish a task. Supervisors are responsible for setting goals, communicating them, and assessing team performance in which we describe everything.
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The TASTY bakery bakes two types of cakes-A, and B. Cake A requires 20grams of flour, 10 grams of sugar, and 10 grams of butter. Cake B requires 15grams of flour, 20 grams of sugar, and 5 grams of butter. The bakery only has 200 grams of flour, 150 grams of sugar, and 120 grams of butter. The price of each cake A is $5, and the price of each cake B is $4. Under the above circumstances, find out how many cakes of each type TASTY should bake to maximize revenue. (Possible Answer $51)
Under the above circumstances, producing 7 units of cake A and 4 units of B should be baked to maximize revenue. This is solved using the linear programming problem.
What is linear programming?Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. A subset of mathematical programming is linear programming.
The objective function is Max 5X1+4X2,
where X1 and X2 are the number of A and B type of cakes baked respectively
Subject to constraints
20X1+15X2<=200
10X1+20X2 <= 150
10X1+5X2 <= 120
and X1, X2 =>0
Solving by graphical method, we get the points ( 10,0) ( 7,4) and ( 0, 7.5)
Putting in the objective function, we get
Value at (10,0) =5x10 +0 =50
Value at (7,4) = 7x5 + 4x4 =51
Value at ( 0, 7.5) = 0+4x7.5 =30
Therefore, the value of the objective function is highest at ( 7,4) producing 7 units of cake A and 4 units of B will yield best profit.
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The graph is attached below.