St. Mark's Hospital contains 450 beds. The average occupancy rate is 80% per month. In other words, on average, 80% of the hospital's beds are occupied by patients. At this level of occupancy, the hospital's operating costs are 32 per occupied bed per day, assuming a 30 -day month. This 32 figure contains both variable and fixed cost elements. During June, the hospital's occupancy rate was only 60% . A total of 326,700 in operating cost was incurred during the month
(a) Using the high-low method, estimate: i. The variable cost per occupied bed on a daily basis. ii. The total fixed operating costs per month.

Answers

Answer 1

The variable cost per occupier bed on daily basis is $336,150.

High (450 x 30 x 80%) 10,800 10,800 x 32 $345,600

Low (450 x 30 x 60%) 8,100 8,100 x 32 $326,700

              Difference 2,700 $18,900

Variable Cost per Bed = $18,900 / 2,700 = $7

Total Fixed Cost = $326,700 - (8,100 beds x $7) = $270,000

For requirement no. 2, regardless of the changes in the occupancy rate, our total fixed costs will remain the same. Only the variable cost will change

Variable cost 450 x 30 x 70% x $7 $66,150

Fixed costs $270,000

Total operating cost $336,150

Accordingly, the total operating cost at 70% occupancy rate is $336,150.

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Related Questions

a crafty operations manager has developed this decision tree to evaluate the alternatives for a planned expansion. if the probability of high demand is 0.6, what is the best course of action?

Answers

Compare the expected values and choose the alternative with the highest value, as that would be the best course of action.

Evaluate the alternatives for a planned expansion

To evaluate the alternatives for a planned expansion, a crafty operations manager has developed this decision tree.

If the probability of high demand is 0.6, the best course of action is to expand.

The probability of low demand is 0.4, and the cost of expanding when demand is low is 500,000.

The benefit of expanding when demand is low is 200,000, while the cost of not expanding when demand is high is 100,000.

The profit from expanding when demand is high is 700,000, while the cost of not expanding when demand is low is 300,000.

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A sous chef starts a retirement savings plan by depositing $350 per month at the beginning of each month into an account that earns an annual interest rate of 5.5% compounded monthly. Find the value (in dollars) of this investment after 20 years. (Round your answer to the nearest cent.)How much interest (in dollars) will she pay over the term of the loan? (Round your answer to the nearest cent.)

Answers

After 20 years, the retirement savings plan of the sous chef will have a value of approximately $182,590.72. Over the term of the plan, she will pay approximately $92,590.72 in interest.

To calculate the value of the investment after 20 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the initial deposit

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, the initial deposit (P) is $350 per month, the annual interest rate (r) is 5.5% or 0.055, the interest is compounded monthly (n = 12), and the investment period (t) is 20 years.

First, we need to calculate the total number of monthly deposits:

20 years x 12 months = 240 months

Next, we substitute the values into the formula and calculate the final amount (A):

A = $350 * (1 + 0.055/12)^(12*20)

A ≈ $182,590.72

Therefore, after 20 years, the retirement savings plan of the sous chef will have a value of approximately $182,590.72.

To calculate the amount of interest paid over the term of the plan, we subtract the total amount deposited from the final amount:

Interest = A - (P * number of deposits)

Interest = $182,590.72 - ($350 * 240)

Interest ≈ $92,590.72

Therefore, over the term of the loan, the sous chef will pay approximately $92,590.72 in interest.

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which of the following is not an economic goal of leaders of most nations? a. efficiency b. price stability c. growth d. full employment e. excess goods and services

Answers

One thing that is not the economic goal of most nations is e. excess goods and services.

What economic goals do most countries want?

Most countries want to be able to provide their people with an adequate living standard.

For this to happen, the economy needs to be growing and have price stability as well as full employment. There is no need for excess goods and services because this represents a waste of resources.

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According to the reading, what might support a premium pricing strategy? a) Forming your business as a corporation b) Fresh ingredients c) 24 hour operation d) None of the above

Answers

Answer: Fresh ingredients

Explanation:

What term is used to describe an incorrect relationship due to users assuming that the when an action happens that subsequent actions were caused by the original action?.

Answers

Causation is the term used to describe an incorrect relationship due to users assuming that the when an action happens that subsequent actions were caused by the original action.

The power of one action to affect another is known as causality or causation. The second action may either be created by the first action or its occurrence may change as a result of the first. Three degrees of causation —absolute causation, conditional causation, and contributory causation—are distinguished by researchers when attempting to prove a causative link. Simple causation refers to a action situation in which a single occurrence is caused by a single identified antecedent, without the involvement of numerous causes or other intervening actions. Three things must be proven in order to prove causation: that X came before Y, that the observed relationship between X and Y wasn't the result of pure chance, and that there is no other explanation for the X -> Y link.

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Type the correct answer in the box. Spell all words correctly. What do inventory firms use when moving delicate products? Inventory firms use________ belts when moving delicate products.


its not multiple choice- need help!

Answers

Answer:

conveyor belts

Explanation:

A conveyor belt is a moving band, e.g. a conveyor belt is used in airports when you are retrieving your luggage after you arrive to your destination. They can be used to transport bulk materials or delicate products. Their length also varies, since they can be very short, e.g. just a few feet, to very long, e.g. transport goods for many yards.

the president submits a fiscal 2018 budget proposal to congress in ______. after this date, congress debates, amends, and enacts the budget until ______.

Answers

The president submits a fiscal 2018 budget proposal to Congress in early February of the preceding year, which would be in early February 2017. This submission marks the beginning of the budget process for the upcoming fiscal year.

After the president submits the budget proposal, Congress takes over the responsibility of reviewing, debating, amending, and ultimately enacting the budget. The budget process involves multiple steps and involves various committees and legislative bodies within Congress.

Congressional committees, such as the House Committee on Appropriations and the Senate Committee on Finance, play a significant role in examining the budget proposal, holding hearings, and making adjustments based on their respective jurisdiction and priorities. The budget debate continues throughout the year as Congress considers the budget resolution, appropriations bills, and other relevant legislation. Congress may introduce amendments, negotiate funding levels, and make changes to specific spending priorities. The budget process typically involves extensive deliberations, negotiations, and compromises among members of Congress. The aim is to arrive at a final budget that reflects the priorities and compromises of the legislative body.

Ultimately, the budget process concludes when Congress approves and enacts the final budget, typically before the start of the fiscal year, which begins on October 1st.

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Describe a real or made up but realistic situation in which you would want to use revolving credit. (2-4 sentences)

Answers

An example of when a revolving credit is used is when a person makes use of a credit card to make a payment.

What is a revolving credit ?

Revolving credit is a form of credit that does not have a fixed number of payments. It allows the holder of the revolving credit to borrow repeatedly until a maximum amount is reached.

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What would be the best action for Karina to take?

Answers

Karina should cross-reference her records with her bank statement as the best course of action.

An explanation of a bank statement

A bank statement is a summary of all the financial transactions that have affected your account within a specific time period, including deposits, withdrawals, and transfers. The account's opening and closing balances, your account number, and other crucial account details could potentially be included in your bank statement.

Why are bank statements crucial?

It enables account holders to monitor their finances and make future spending plans. In order to understand how much money is being spent on various categories, account users can use bank statements, which are also very helpful for budgeting.

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The complete question is-

Karina keeps excellent records and always knows precisely how much is in her bank account. However, when she receives her bank statement, she's surprised to see that she has been charged a $5.00 overdraft fee. After reviewing her well-kept records, she cannot find anything that is incorrect. Which would be the best action for Karina to take?

What is an example of checks and balances in the executive branch?

Answers

An example of Checks and balances in the executive branch:- The separation of powers between the three departments of the American government—the legislative branch, the executive branch, and the judicial branch—is one of the checks and balances established by the U.S. Constitution.

In order to prevent any one branch of the government from acquiring an overwhelming amount of unrestrained authority, the Constitution grants each of these three branches unique powers.

The practise of delegating responsibilities to several parties so that no one individual or group may amass an excessive amount of power is known as "checks and balances." In organisations, having systems of checks and balances can help reduce the number of errors made and prevent incorrect behaviour.

The most common application of the idea of checks and balances is in the context of governmental systems, such as the executive, legislative, and judicial branches of the government of the United States. It is essential to have checks and balances in place in businesses and other types of organisations when decisions that have an effect on operations can be made by a single individual, such as the CEO or a majority shareholder. The idea of a system with built-in checks and balances may be traced back to the time of the Roman empire.

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Economic theory describes the relationship between inflation and unemployment as:___.

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Economic theory describes the relationship between inflation and unemployment as inverse relationship.

The Phillips curve states that the  inflation and unemployment have an inverse relationship. Higher inflation is associated with lower unemployment and the higher unemployment with lower inflation.

The inverse relationship between unemployment and inflation is depicted as a downward sloping as well as concave curve, with inflation on the Y-axis and unemployment on the X-axis.

The Phillips curve concept was developed by A. W. Phillips . the theory claims that with economic growth comes inflation, which in turn should lead to more jobs and less unemployment.

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Calculate the payoff of this scenario: You flip a coin, if it is Heads, you win $134; and if it is Tails, you lose $121

Answers

The payoff of this scenario is +$13.

To calculate the payoff, subtract the amount lost from the amount won:

$134 - $121 = $13.

In this scenario, you have a 50/50 chance of winning or losing money based on the outcome of the coin flip. If the coin lands on Heads, you win $134, but if it lands on Tails, you lose $121.

Therefore, the expected value of this scenario can be calculated as follows: (0.5 x $134) + (0.5 x -$121) = $6.5.
However, the payoff is not the same as the expected value. The payoff represents the actual outcome of the scenario, whereas the expected value represents the average outcome over many repetitions of the scenario. In this case, the actual outcome is either a gain of $13 or a loss of $121, depending on the result of the coin flip.

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Solve the equation 60%of 45

Answers

Explanation:

60%of 45

0.6×45

=27

....................

Answer:

27

Explanation:

What type of function does a project management tool have that a task management tool does not?


file sharing


progress tracking


commenting


budgeting

Answers

The commenting are type of function does a project management tool have that a task management tool does not. Thus, option (c) is correct.

What is management?

The term “management” refers to the act of managing. The management of the business activities. Management is the basis of art, science, and the profession.

The management are the division of the different departments are the created such as project management and the task management. The file sharing, progress tracking, and budgeting. But, the commenting is not the function of the task management tool.

As a result, the commenting is not the function does a project management tool have that a task management tool does not. Therefore, option (c) is correct.

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in a job interview, amanda tells the hiring manager that she is eager to learn and passionate about the work the company does. which personality test trait does this showcase?
a. respect
b. enthusiasm
c. confidence
d. friendliness

Answers

Answer:enthusiasm

Explanation:

The personality test trait this showcase is enthusiasm. Thus the correct option is B.

What is a Job interview?

A job interview is referred to as an assessment technique used to evaluate the capabilities of an individual related to a particular job position. In a Job interview, a set of questions is asked by the employer to analyze the strength of an individual.

In the example presented, it is noted that Amanda informs the hiring manager during a job interview that she is eager to learn and enthusiastic about the work the company does.

Tests of practical techniques known as trait assessments are used to evaluate a person's personality and identify their personality traits.

In the given case, the personality test trait she is showing is enthusiasm as it reflects her excitement and interest to join the company. She portrays her thoughts to the hiring manager.

Therefore, option B is appropriate.

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There are four components to value in a retirement plan: consumption needs in retirement, pension plan, unsheltered savings and sheltered savings. 1) True 2) False Question 2 (1 point) The three main

Answers

The statement in question is true. There are indeed four components to value in a retirement plan: consumption needs in retirement, pension plan, unsheltered savings, and sheltered savings.

In retirement planning, it is essential to consider multiple components to ensure a secure and comfortable retirement. The first component is the estimation of consumption needs in retirement, which involves assessing the expenses and lifestyle choices one expects during retirement. The second component is the pension plan, which includes any employer-sponsored or government-provided pension benefits. These benefits can contribute to a retiree's income stream.

The third component is unsheltered savings, which refers to any savings or investments held outside of tax-advantaged retirement accounts such as IRAs or 401(k)s. These savings can provide additional financial resources during retirement. Lastly, sheltered savings encompass retirement accounts that offer tax advantages, such as contributions made to traditional IRAs or employer-sponsored retirement plans like 401(k)s or 403(b)s.

By considering and optimizing these four components—consumption needs, pension plan, unsheltered savings, and sheltered savings—individuals can develop a comprehensive retirement plan that addresses their financial requirements and goals.

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How do businesses maintain a formal record of financial transactions?
a) Publish an income statement b) Publish a balance sheet
c) Maintain a general journal
d) Utilize the Matching Principle

Answers

Businesses maintain a formal record of financial transactions through publication of income statement and balance sheet.

A formal record of financial transaction entails publication of periodic financial statement to allows users them to understand the financial position of the company.

The process of Bookkeeping with helps to record all financial transactions helps to publish an income statement and balance sheet.

The income statement and balance sheet are the two main financial record which depict the accurate position of the firms position.

Therefore, the Option A and B is correct.

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The mere existence of natural resources in a country does not contribute to economic progress unless some conditions prevail.state the condition

Answers

Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Explanation:

Xxxxxxxxxd

Carlos works to maintain a fish hatchery. The fish hatchery provides fish to many public lakes to keep their stock levels high. Carlos most likely works in

Answers

Answer:

B. Aquaculture

Explanation:

Carlos works to maintain a fish hatchery. The fish hatchery provides fish to many public lakes to keep their stock levels high. Carlos most likely works in Aquaculture. Thus the correct option is B.

What is Aquaculture?

Fish, shellfish, and aquatic plants are grown, cultivated, and harvested through aquaculture. It is agribusiness in the United State which is a sustainable source of both commercial goods and food.

Carlos helps keep a fish hatchery running smoothly. For many public lakes to maintain high stock levels, the fish hatchery supplies fish. The above description fulfills the traits of Aquaculture.

By using it, threatened or endangered species stocks can be rebuilt and ecosystems can be made healthier. It lessens the burden on wild fish while contributing to meeting the world's rising demand for seafood and supplying developing nations' citizens with wholesome protein.

Therefore, option B is appropriate.

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The complete question is Probably

Carlos works to maintain a fish hatchery. The fish hatchery provides fish to many public lakes to keep their stock levels high. Carlos most likely works in

Livestock.

Aquaculture.

Agribusiness.

Recycling.

is at work when your store manager thinks your job performance in all areas is poor because you aren’t sure where all the products are shelved. but your customers give you great ratings and your cash register is always balanced.

Answers

Answer: the halo effect

Explanation:

_____ is the amount of money remaining from a firm's sales revenue after it deducts production costs, interest costs, and taxes.

Answers

The amount of money remaining from a firm's sales revenue after it deducts production costs, interest costs, and taxes is: Profit.

Profit can be defined as the amount of money earned after deducting all expenses.

A business or organization objective is to generate profit, therefore any amount a company earned from the sales of goods and service after deducting all expenses all after deducting all the production cost is called profit.

In another word profit is the revenue generated after paying out all costs such as:

Interest costsTaxesLabor costsMaterial costs  etc

Inconclusion the amount of money remaining from a firm's sales revenue after it deducts production costs, interest costs, and taxes is: Profit.

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Which of the following is a protected class?
A. Educational status
B. Marketers
C. Benefits
D. Age

Answers

Answer:

D. Age

Explanation:

Protected class refers to the class in which the employees protected from discrimination by law. It can be in terms of age, religion, race, color etc. The persons who have age of 40 years or above is covered under the Age Discrimination in Employment Act (ADEA).

Therefore according to the given situation the correct answer is D.

PLS HELP When did savings account interest rates start falling?
5 points
The late 1980s.
The late 1990s.
The early 2000s.

Answers

Answer:

The early 2000's

Explanation:

Please help I'm about to fail my class and i will be grounded for life, 100 pts for it! its financial literacy

Part One–Research
Imagine you bought 100 shares of stock three years ago and are selling it today. Select a company and research its stock prices. You can start with websites like Nasdaq and Fidelity. Determine the stock's price three years ago, or the purchase price, and its price today, or the selling price.

Part Two–Determine the Real Return
Calculate the real return of your stock investment using the following information:

Purchase price of 100 shares of stock
Selling price of 100 shares of stock
10% tax rate
3% inflation rate
2% administrative fee on the selling price of the stock
Part Three–Evaluate
Analyze your research and calculations, and answer the following questions:

What company did you select to buy stock in? Why did you select the company?
Consider the real return of the stock investment. Do you consider it a wise investment? Why or why not?

Answers

1. I imagine buying 100 shares of Amazon.com Inc. on January 3, 2020, when the stock price was $93.75, investing $9,375.  

Today, October 31, 2022, the stock price of Amazon.com Inc. is $102.44.

2. The real return on my investment in Amazon.com Inc was a net loss of  7.12% or $667.60.

3. The company I selected to buy its stock three years ago was Amazon.com Inc.

4. I decided on Amazon.com Inc., hoping to earn spectacular returns since it is a multinational technology company.

5. When I consider the actual return on the stock investment in Amazon.com Inc., I think it was an unwise investment.

6. The investment returned a negative real value because I realized less than I initially invested; I actually lost about $667.60 overall.

What is the stock investment?

Stock investment is the purchase of shares for an ownership interest in a publicly-listed company.

The investor makes the investment with the hope that the investee will grow and perform well over some period, enabling the investor to earn some real returns (in the form of dividends and capital appreciation).

Purchase of 100 shares Jan. 3, 2020 = $9,375 (100 x $93.75)

Sales of 100 shares Oct. 31, 2022 = $10,244 (100 x $102.44)

Tax (10%) = $1,024.40 ($10,244 x 10%)

Inflation (3%) = $307.32 ($10,244 x 3%)

Administration fee on sales (2%) = $204.88 ($10,244 x 2%)

Real Returns in dollars = $8,707.40 ($10,244 - $1,024.40 - $307.32 - $204.88)

Loss on returns = $667.60 ($8,707.40 - $9,375)

Loss percentage = 7.12% ($667.60/$9,375 x 100)

Unfortunately, Amazon.com Inc. did not pay any dividends during the period of my investment, and I really lost funds to taxes, inflation, and administration fees when I sold it.

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From the end of 2010 to the end of 2011, M1 increased from $2,006 billion to $2,311 billion. By what percentage did M1 increase?

Answers

Answer:

15.20%

Explanation:

The computation of the M1 increase is shown below:

= (M1 End of the year 2011  - M1 end of the year 2010) ÷ M1 End of the year 2010

= ($2,311 billion - $2,006 billion) ÷ ($2,006 billion)

= 15.20%

How did the United States arrive at its current occupational-safety-and-health laws?

A. joyfully, with parades and celebrations, the way we celebrated the end of World War II

B. quickly, as an idea whose time had come and about which no reasonable person could voice an objection

C. secretly, in the middle of the night on a holiday, since supporters knew it would be extremely unpopular

B. slowly, after over 100 years of small steps, backslides, and back-and-forth between business interests and representatives for workers

Answers

Answer:

B. slowly, after over 100 years of small steps, backslides, and back-and-forth between business interests and representatives for workers

Explanation:

Before 1970, America was experiencing a sharp increase in the number of occupational injuries and illnesses. Both the injuries and illnesses were becoming more severe, which lead to increased death and disabilities due to work-related issues.

The OSHA act was passed in 1970. Prior to that, the responsibilities for developing workplace safety and health regulations were under the ministry of labor. Activities and lawmakers felt that the existing structure give not give enough weight to workers plight.  Employees were left at the mercy of their employers.

After intensive lobbying in the senate, the OSHA act was signed into law in 1970 by president Richard M. Nixon. The law aimed to promote safety and ensure safer working conditions for all workers, notwithstanding their job or industry.

A manufacturing company had been under pressure to increase profits, so it
began to produce additional goods. The company was encouraged by the
initial increases in revenue, even though profits per item produced were lower
than average. Still, total profits increased, so the company decided to make
another significant increase in production. This time, however, the profit per
item had decreased so much that the company made almost no extra profit
from the increase in production. This situation illustrates what concept?
A. Law of diminishing returns
O B. Cross-training
O C. Productivity analysis
D. Comparative advantage

Answers

A . Law of diminishing returns is the answer .
Because the law of diminishing returns argues. that the expansion of a business must always consider the demand and if it does not the graph will lower into the diminishing returns that is less and less profit for the firm.

Who are the 5 various groups that Hershey has made a commitment to operate ethically to

Answers

Hershey has made a commitment to operate ethically and responsibly to various groups including employees, consumers, shareholders, suppliers, and the community.

The company recognizes that its success is dependent on the well-being and satisfaction of all these groups.

Hershey is committed to providing a safe and fair workplace for its employees, ensuring that they are treated with respect and dignity. The company is also committed to producing high-quality products that meet the expectations and needs of consumers. This commitment includes ensuring that the ingredients used in their products are responsibly sourced and that the products are produced in a sustainable manner.

Finally, Hershey recognizes that it has a responsibility to the communities in which it operates. The company is committed to supporting community initiatives and investing in programs that promote education, health, and well-being.

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The Central Islip community has 9,649 homes in it. Smart Boards cost the school district $5,200 each. The HS needs 175, the Reed School needs 150 and the Mulligan school needs 50 new boards. Network Outsource the schools tech company has 12 workers for the HS, 8 for the Reed School and 4 for Mulligan. They all work 8 hours a day. They work 5 days a week, Monday thru Friday. They earn $58 per hour. It will take 45 weeks to finish the job. Find: a) Total Product Cost b) Total Labor Cost c) Total Cost d) Cost per Home e) Cost per Week

**(52 Weeks per Year)

Answers

Finding the following cost information about the Central Islip Community's requirement for Smart Boards is as follows:

a) The Total Product Cost is $390,000.

b) The Total Labor Cost is $2,505,600.

c) The Total Cost of the project is $2,895,600.

d) The Cost per Home is $300.09.

e) The Cost per Week, given a 52-week-year, is $55,684.62.

Data and Calculations:

Homes in Central Islip Community = 9,649

Cost of Smart Boards per unit = $5,200

Requirements for Boards and Workers:

                       Boards     Workers

HS                         175          12

Reed School        150           8

Mulligan                50           4

Total boards =    375         24

Total cost for smart boards = $390,000 ($5,200 x 375)

Total labor cost = $2,505,600 ($58 x 8 x 5 x 45 x 24)

Total cost = $2,895,600 ($2,505,600 + $390,000)

Cost per Home = $300.09 ($2,895,600/9,649)

Cost per Week = $55,684.62($2,895,600/52)

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You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.

You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your

Answers

Answer:

Vertically Opposite angles

Explanation:

Required

Why is

\(9y + 7 = 2y + 98\)

The relationship between 9y + 7 and 2y + 98 is that both angles are vertically opposite

In geometry, vertically opposite angels are equal

In other words, if a and b are vertically opposite angles, then a = b

So, we can say that:

\(9y + 7 = 2y + 98\)

because they are vertically opposite

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