The linear programming model for this problem using goal programming is \(x1 >= 0, x2 >= 0\)
To formulate a linear programming model using goal programming for the Tshwane Cycling Company, we need to define the decision variables, objective function, and constraints.
Decision Variables:
Let x1 be the number of T2 bicycles produced.
Let x2 be the number of S8 bicycles produced.
Objective Function:
Our goal is to maximize profit while fulfilling the contract for T2 bicycles, producing at least 1000 bicycles, and using no more than 1600 labour hours. We can express this as follows:
Maximize: \(4000x1 + 5000x2 - 100000\)
The first two terms represent the profit earned from producing T2 and S8 bicycles, respectively, and the last term is a penalty for not meeting the profit goal.
Constraints:
The constraints are as follows:
• Fulfill a contract for 400 T2 bicycles:
\(x1 >= 400\)
• Produce at least 1000 bicycles:
\(x1 + x2 >= 1000\)
• Use no more than 1600 labour hours:
\(2x1 + 3x2 <= 1600\)
• Use at least 200 tyres and 100 gear assemblies for a new product:
\(2x1 + x2 <= 1200 (tyres)\)
\(x2 <= 900\) (gear assemblies)
• Penalty weights:
Reaching the profit goal is 30 times as important as the goal on the labour hours.
Fulfilling the contract of number of T2 bicycles is twice as important as labour hours.
The number of total bicycles produced is of the same importance as the labour hours.
We can express these constraints as follows:
\(30(4000x1 + 5000x2 - 100000) - 2x1 - 3x2 <= 0 (profit)\\2x1 - x2 >= 0 (T2 contract)\\x1 + x2 - 1000 = 0 (total bicycles)\\2x1 + 3x2 - 1600 <= 0 (labour hours)\)
We can also add non-negativity constraints:
\(x1 >= 0, x2 >= 0\)
Therefore, the linear programming model for this problem using goal programming is:
Maximize: \(4000x1 + 5000x2 - 100000\)
Subject to:
\(x1 >= 400\\x1 + x2 >= 1000\\2x1 + 3x2 <= 1600\\2x1 + x2 <= 1200\\x2 <= 900\\30(4000x1 + 5000x2 - 100000) - 2x1 - 3x2 <= 0\\2x1 - x2 >= 0\\x1 + x2 - 1000 = 0\\x1 >= 0, x2 >= 0\)
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An agreement among organizational members that people in certain roles can request a set of behaviors from others, such as a manager making requests of those she supervises, is known as ______ power.
This is known as legitimate power. Legitimate power is a type of power that is granted to individuals by the organization or society in which they operate.
This power is typically associated with certain roles, such as a manager or a supervisor. Legitimate power enables individuals in these roles to make requests of others and expect compliance with those requests. This power is considered to be formal and is often linked to an individual's position within the organizational hierarchy. Legitimate power can be contrasted with other types of power, such as expert power, which is based on an individual's knowledge and expertise, and referent power, which is based on an individual's personal qualities and ability to influence others. Understanding the different types of power is important for leaders and managers who want to be effective in their roles and build positive relationships with their subordinates.
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Recording, classifying, and summarizing economic events in a logical manner for the purpose of providing financial information for decision making is commonly called Group of answer choices auditing. economics. finance. accounting.
Recording, classifying, and summarizing economic events in a logical manner for the purpose of providing financial information for decision making is commonly called accounting.
Accounting is a fundamental process in business and financial management. It involves systematically recording financial transactions, classifying them into appropriate categories, and summarizing the information to create financial statements such as the income statement, balance sheet, and cash flow statement. These financial statements provide a snapshot of a company's financial performance, position, and cash flows, enabling decision-makers to analyze and make informed decisions about the organization's operations, investments, and financial strategies.
While auditing, economics, and finance are related disciplines, each has its own distinct focus. Auditing involves examining and evaluating financial records and statements to ensure accuracy, compliance, and reliability. Economics studies the production, distribution, and consumption of goods and services within an economy. Finance, on the other hand, focuses on managing financial resources, investments, and the financial aspects of decision making. However, accounting serves as the foundation for providing the necessary financial information in these areas.
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Write two paragraphs about what life would be like without your favorite electronic.
Answer:hhhhhh
Explanation:
Uhhh
The Chacon Company is decentralized, and divisions are considered investment centers. Chacon has one division that manufactures oak dining room chairs with upholstered seat cushions. The Chair Division cuts, assembles, and finishes the oak chairs and then purchases and attaches the seat cushions. (Click the icon to view additional information.) Read the requirements. Requirement 1. Determine the total contribution margin for Chacon Company for the quarter. Number of units x Contribution margin per unitTotal contribution margin Chair Division Cushion Division Total Requirement 2. Assume the Chair Division purchases the 1,100 cushions needed from the Cushion Division at its current sales price. What is the total contribution margin for each division and the company? Number of units x Contribution margin per unitTotal contribution margin Chair Division Cushion Division Total
The total contribution margin for Chacon Company for the quarter is $473,000. However, if the Chair Division purchases the 1,100 cushions needed from the Cushion Division at its current sales price, the total contribution margin for each division and the company would change.
1. Total Contribution Margin for Chacon Company (original):
The original total contribution margin for the Chair Division is calculated as follows:
Chair Division contribution margin per unit = $320 - $240 = $80
Total contribution margin for the Chair Division = 5,500 units × $80 = $440,000
The original total contribution margin for the Cushion Division is calculated as follows:
Cushion Division contribution margin per unit = $170 - $140 = $30
Total contribution margin for the Cushion Division = 1,100 units × $30 = $33,000
Therefore, the original total contribution margin for the Chacon Company is $440,000 + $33,000 = $473,000.
2. Total Contribution Margin for Chacon Company (with purchase from Cushion Division):
If the Chair Division purchases the 1,100 cushions from the Cushion Division at its current sales price, the contribution margin for each division and the company would change.
The new contribution margin for the Chair Division is calculated as follows:
Chair Division contribution margin per unit = $320 - $140 = $180
New total contribution margin for the Chair Division = 5,500 units × $80 + 1,100 units × $180 = $748,000
The contribution margin for the Cushion Division remains the same since it is manufacturing the cushions:
Total contribution margin for the Cushion Division = 1,100 units × $30 = $33,000
Therefore, the new total contribution margin for the Chacon Company is $748,000 + $33,000 = $781,000.
The original total contribution margin for Chacon Company for the quarter was $473,000. However, if the Chair Division purchases the cushions from the Cushion Division at its current sales price, the total contribution margin for the Chacon Company increases to $781,000. This change in the contribution margin reflects the impact of the purchase decision on the overall profitability of each division and the company as a whole.
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VW's decision to commit significant financial and R&D resources to electric vehicles can best be described as ____ approach to business ethics.
VW's decision to commit significant financial and R&D resources to electric vehicles can best be described as a socially responsible approach to business ethics.
This approach emphasizes the importance of considering the impact of business decisions on society and the environment, and making choices that balance profitability with ethical considerations. By investing in electric vehicles, VW is not only responding to market demand for more sustainable transportation options, but also making a conscious effort to reduce its environmental impact and contribute to addressing the global climate change. This can be seen as responsible actions to mitigate the negative impact of its past actions, such as the Dieselgate scandal.
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Elena Fargas Charge account statement shows unpaid balance of $6982.25 the monthly finance charge is 1.55% of unpaid ba
Answer:
Find my detailed explanations and computations below
Explanation:
In essence, based on the unpaid balance of $6982.25 with a monthly interest rate of 1.55%, the finance charge on the unpaid balance can be determined as the unpaid balance multiplied by the monthly interest rate as shown
The finance charge for the month=unpaid balance*monthly interest
The finance charge for the month=$6982.25*1.55%
The finance charge for the month=$108.22
The balance owed altogether is the unpaid balance plus the finance charge on the unpaid balance
Total balance unpaid=$6982.25+$108.22
Total balance unpaid=$7,090.47
Calculation of estate taxes the federal estate tax due on Jackson's estate. Round your answer to nearest whole dollar. $ ______________
The federal estate tax due on Jackson's estate is $2,080,000.00The estate tax is a federal tax levied on the transfer of a deceased person's estate to their heirs or beneficiaries. The estate tax due on Jackson's estate can be calculated as follows:
Gross estate = $15,000,000.00
Marital deduction = $6,000,000.00
Charitable deductions = $2,500,000.00
Adjusted gross estate = $6,500,000.00
Applicable exclusion = $11,700,000.00
Taxable estate = $0.00
Estate tax = ($11,700,000.00 - $6,500,000.00) x 0.4
= $2,080,000.00
Therefore, the federal estate tax due on Jackson's estate is $2,080,000.00 (rounded to the nearest whole dollar).
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At which stage would you conduct a SWOT analyses to understand the market and the strength of your product?
A. screening and evaluation stage
B. ideation stage
C. new product development stage
D. commercialization stage
At the B. ideation stage, we should conduct a SWOT analysis to understand the market and the strength of your product.
Ideation is a creative process where designers generate ideas in periods (e.g., brainstorming, worst feasible concept). It's far the third degree within the design thinking manner. Participants gather with open minds to supply as many ideas as they could to deal with a hassle declaration in facilitated, judgment-free surroundings.
In the Ideation stage, the intention is to generate a big number of ideas — thoughts that doubtlessly encourage more recent, better thoughts — which the team can then clear out and slender down into the excellent, maximum practical, or most progressive ones.
The quick form of the design wondering manner may be articulated in five steps or levels: empathize, outline, ideate, prototype, and check. Let's in short explore each of these stages on the subject of a practical layout process.
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if a bill is approved by the house of representatives where must it go next
The bill goes to the Senate if it receives a simple majority (218 votes out of 435). The bill is referred to another committee in the Senate and, if it is released, is the subject of debate and voting.
Bill, what does that mean?A request for the payment of a debt, or the bill itself, such as an electricity, gas, or phone bill. For the work they did, they sent us a bill.
Which is better, bills or invoices?You might receive an invoice from a business for services rendered, but when you get it, you simply view it as a bill. A bill is a straightforward statement of what is currently due, whereas the word "invoice" can imply that payments, such as "NET-30 days," have been established.
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which exeception to the ucc statute of frauds should marko assert in a case against josip for breach of contract?
All contracts must be in writing and signed by all parties in order to be enforceable, according to the UCC's statute of frauds.
Why are written agreements that are ratified by both parties required?
Contracts must be in written and signed by all parties in order to be legally binding and enforceable.
Contracts must be in writing and signed by both parties, according to the UCC, which is a statute of frauds, in the event that there is a dispute over the contract in the future.
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Identifying Job Application Tools
What document is used to summarize a job applicant's experience, education, and achievements?
O test score
O school transcript
O review letter
O resume
Answer:
Resume
I hope this helps! Have a good life! ✌Answer:
D - resume
Explanation:
got it correct on edge
Which type of chart or graph shows data with distinct x and y values?
O a bar graph
O a scatter plot
O a line chart
O a pie chart
Answer:
A. a bar graph is the answer
What action can you take to provide the most help to a team that has worked together for more than a year and is familiar with the project work
Answer: Aim should be reemphasized regularly, deadlines set and there should be a reward system.
Explanation:
Over familiarity breeds negligence or lost of steam or enthusiasm in a project. They are things that should be put into place to avoid being to familiar with projects and sleep on them;
- The aim and objective for which the was started should be reemphasized daily or weekly, this would help the team have it in mind that they would need to be on their best
- Deadline should be sets for smaller aspect of the project. The project should be split into phase and deadlines set to meet up each phase
- There should be a reward system. This strengthens the team to do more and make the team know that their value and input is well appreciated
you agree to make 24 deposits of $500 at the beginning of each month into a bank account. at the end of the 24th month, you will have $12,800 in your account. if the bank compounds interest monthly, what nominal annual interest rate will you be earning?
The nominal annual interest rate is
Let understand that nominal annual interest rate is an interest rate derived before taking inflation into account and are also called the Annualized Percentage Rate (APR).
Here, we are going to calculate the Nominal annual interest rate using the Microsoft Excel function.The information given are as follows: NPER = 24, PMT = 500, PV = 0, FV = $12,800. Type = 1 [Ending 0. Beginning 1]
Nominal annual interest rate = Rate(Nper, pmt, pv, ff, type] * 12
Nominal annual interest rate = Rate{24, 500, 0, -12,800, 1] * 12
Nominal annual interest rate = 0.0051 * 12
Nominal annual interest rate = 0.0612
Nominal annual interest rate = 6.12%
In conclusion, our nominal annual interest rate to be earned is 6.12%.
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if the reserve requirement is 8%, set forth how much money can be generated by a deposit of $200, and explain how this is done.
If the reserve requirement is 8%, a deposit of $200 can generate up to $1,666.67 in loans.
The deposit will be multiplied by the reserve requirement to determine how much money must be kept in reserve. To calculate this, use the following formula:
Reserves = Reserve Requirement * Deposits
Reserves = 0.08 * $200 = $16.00 (reserves)
In this scenario, $16 must be set aside as reserves, which means the remainder ($184) can be used to provide loans.
Loans = Deposits - Reserves
Loans = $200 - $16 = $184
Finally, the quantity of loans that can be offered is determined by dividing the deposit amount by the amount of loans.
Loans = Deposit ÷ (1 - Reserve Requirement)
Loans = $200 ÷ (1 - 0.08) = $1,666.67
Reserve requirements, which are minimum reserve requirements, are the minimum amount of funds that financial institutions must keep on hand to meet customer withdrawals and various other day-to-day transactions. This is mandated by the Federal Reserve, which is the central bank of the United States. It is expressed as a percentage of deposits that must be held in reserve by banks. A bank that has a 10% reserve requirement must hold ten percent of its deposits as reserves.
Deposit is the transfer of funds to another party for safekeeping. It is a form of investment, which is a financial activity. An individual or a firm can deposit funds into a bank account for safekeeping, and the bank pays interest on the deposit. The size of the deposit will have an impact on the rate of interest earned, with larger deposits attracting higher interest rates.
Therefore, if the reserve requirement is 8%, a deposit of $200 can generate up to $1,666.67 in loans.
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The act that has its own definition and remedial steps for mistakenly created e-commerce contracts:
Answer:
Electronic Signatures in Global and National Commerce Act (ESIGN)
Explanation:
The act with its definition and remedial steps for mistakenly created e-commerce contracts is" Electronic Signatures in Global and National Commerce Act (ESIGN)."
The United States Congress passed the Electronic Signatures in Global and National Commerce Act (ESIGN) in 2000. It has its definition by defining some keywords or phrases such as "Electronic," "Electronic Record," Electronic Signature," etc., under section 106 of the act.
It also states the remedial steps for mistakenly created e-commerce contracts under another section.
The City Parks and Recreation Dept. is planting 20 acres of
new park land. The department is renting a grass seed planter
for $17.50 per acre and a tractor for 3 days at $215 per day.
A 7% usage tax is charged. Find the total rental charge.
Answer:
$727.60
Explanation:
total rental charge = total cost of renting the grass seed planter + cost of renting the tractor + usage tax
total cost of renting the grass seed planter = $17.50 x 20 = $35
cost of renting the tractor = 3 x $215 = $645
total cost of renting = $645 + $35 = $680
Usage tax = 7% x $680
0.07 x $680 = $47.6
total rental charge = $680 + $47.60 = $727.60
A company database needs to store information about employees (identified by IDno, with salary and phone as details), departments (identified by dno, with dname and budget as details), and children of employees (with name and age as details). Employees work in departments; each department is managed by an employee; a child must be identified uniquely by name when the parent (who is an employee; assume that only one parent works for the company) is known. We are not interested in information about a child once the parent leaves the company. Draw an ER model that captures this information. The answer should also show clear entities, attributes, relationships, and possible cardinality
The ER model includes three entities: Employee (IDno, Salary, Phone), Department (dno, Dname, Budget), and Child (Name, Age). The relationships are: Employees work in departments (WorksIn, 1:1), each department is managed by an employee (Manages, 1:1), and an employee can have multiple children (HasChild, 1:N).
The ER model captures the information about employees, departments, and children in a concise manner. The Employee entity includes attributes such as IDno (employee identifier), Salary, and Phone. The Department entity includes attributes like dno (department identifier), Dname (department name), and Budget. The Child entity includes attributes Name and Age.
The relationships in the model are represented as follows:
1. Employees work in departments: This relationship (WorksIn) indicates that one employee works in one department (1:1 cardinality).
2. Each department is managed by an employee: This relationship (Manages) signifies that one employee manages one department (1:1 cardinality).
3. An employee can have multiple children: This relationship (HasChild) denotes that one employee can have multiple children (1:N cardinality).
The ER model diagram would visually represent these entities, attributes, relationships, and their respective cardinalities. It helps to understand the structure and connections between the entities in the database design.
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what is the independent variable in the following scenario? select the best answer. researchers study the impact of a room's color on productivity.
In the scenario of studying the impact of a room's color on productivity, the independent variable is the room's color.
The independent variable in an experiment is the factor that researchers manipulate or control to observe its effect on the dependent variable. In this case, the researchers are studying the impact of a room's color on productivity. The independent variable is the room's color because the researchers will deliberately choose and manipulate different colors in the rooms they study.
To determine the influence of room color on productivity, the researchers may set up multiple rooms with different colors, such as blue, green, red, or neutral colors. They will then observe and measure the productivity levels of individuals in each room.
By manipulating the independent variable (room color), the researchers can examine its impact on the dependent variable (productivity).
Therefore, in the context of this study, the independent variable is the room's color as it is being controlled and manipulated to investigate its effect on productivity.
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Suppose you are offered a coupon for a free dinner at a local restaurant, tip and drink included, if you attend a presentation for prospective renters at a new apartment complex in town. If you attend the presentation, then _____________
If i attend the presentation, then, the opportunity cost of using the coupon for the dinner is the same for all presentation attendees because the dinner is free.
What is opportunity cost?An opportunity cost refers to the forgone benefit which would have been benefit from a transaction, option or purchase not chosen.
In conclusion, If i eventually attend the presentation, then, the opportunity cost of using the coupon for the dinner is the same for all presentation attendees because the dinner is free.
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William wrote a check for $150.00 for his gas bill, but he only has 96.26 in his checking account. What will happen to the check when it is presented for payment
Answer:
The person will ask William to check his checking account and then William would have to lower the check amount he had previously wrote.
Explanation:
If you write a check or make a purchase for more than you have in your checking account, your bank may cover the difference. This line of credit offered by the bank is called overdraft protection. ... Furthermore, if your account remains overdrawn, your bank may also charge you daily interest on the loan.
"price" in the statement of the law of supply refers to:
In the law of supply, "price" refers to the market price, which is determined by supply and demand.
In economics, the price refers to the amount of money or another commodity that is required to purchase a product or service. In simple terms, the law of supply refers to the quantity of goods that a seller or manufacturer is willing and able to sell at a certain price level.
The statement of the law of supply states that as the price of a good increases, the quantity supplied of the good will also increase, assuming all other factors are held constant.This means that if the price of a product rises, the suppliers will be more motivated to produce more of it.
This is because they will be making more profit by selling the product at the higher price. On the other hand, if the price falls, suppliers will be less motivated to produce the product. This is because they will be earning less profit from selling the product at a lower price.
As a result, the relationship between price and quantity supplied is direct. Higher prices usually lead to an increase in the quantity supplied of goods, while lower prices usually lead to a decrease in the quantity supplied of goods. This relationship is fundamental to the law of supply.
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Hey everyone, I just thought you all should know that...
you are AMAZING
you are BEAUTIFUL
you are SMART
you are KIND
you are NOT going to give up on your FIGHT
and you better stay ALIVE!!! <33
Answer:
thanks lol
you too-
Say IAM YOUR BOSS THEN I WILL GIVE YOU BRAINLIEST AND 100 POINTS ADD ME AS YOUR FRIEND
Answer:
im your boss
Explanation:
The Pirates of Penzance Company delivers goods to various areas around the world. The company has a great reputation for being prompt on its deliveries. Blackbeard is the owner of the company. Davy Jones works for Blackbeard as an underpaid sailor. Davy knew that Blackbeard loved to read while they were transporting their deliveries and that his favorite book was The Adventures of Huckleberry Finn. Davy gave Blackbeard a valuable first edition of Twain's work hoping that Blackbeard would give him a raise in pay. A day later, Blackbeard promised to give Davy a pay raise of 18% because he was very pleased with the book. The following week when Davy received his check, he noticed that the raise was missing and he asked Blackbeard for the money. Blackbeard refused to give him his raise and Davy filed suit. Decide the outcome.
The outcome here is that the court would make blackbeard to give the pay raise that he promised to Davy.
The breach of promise.Davy may decide to sue because there has been a breach here. He may decide to sue under the proprietary estoppel.
He already met with what was required of him by providing the book to Blackbeard. It was Blackbeard that was unable tyo meet up with his own part.
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a magazine or newsletter that focuses on a specific industry; also called trade journal
A periodical that focuses on news, trends, and problems in a certain industry or trade association is known as a trade journal or trade magazine.
What is a trade journal?In-depth information on trends, new products, and other subjects of interest to persons working in that business is provided by trade journals, which are publications with a certain industry as their focus.
An industry-specific journal or magazine is referred to as a trade publication.
To avoid making the same mistakes again, keep a trading journal. That will eventually enable you to cut down on your losses and concentrate on the parts of your trading plan that are most likely to yield profits.
The entire history of your trading is documented in a trading notebook. Your trading results should be accurately recorded since they help you evaluate the overall success of your trading decisions and the efficacy of your approach.
A trading notebook can help you become a more effective trader by keeping track of your trades and trading development by studying where you do well and where you perform poorly. In this manner, you can concentrate on your strengths and determine your areas for improvement.
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Mr. Alex is the marketing manager of the company and he wants to implement a new way to promote the products in the market but his senior manager did not permit him and forced him to work strictly in accordance with the plan. Which limitation of planning is highlighted in this case
Answer: Planning reduces creativity
Explanation:
Under Planning reduces creativity, all team menbers are instructed or directed to work within the frame given by the management to them, working outside the frame of what was issued would go against the directives of the organization. This type of limitation of planning limits creativity, because members won't be able to introduce ideas to advance the growth of the team.
What are the remedial measures of unemployment in nepal?explain
Contra entry is recorded in?
The balance on a credit card, that charges a 20%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-5: $200 (initial balance)
Days 6-20: $350 ($150 purchase)
Days 21-30: $150 ($200 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter
The balance on a credit card, that charges a 20% APR interest rate, the Finance charge is given as
$4.3055
This is further explained below.
What is the APR interest rate?Generally, The interest rate that is applied to a loan, mortgage loan, credit card, etc. is referred to as an annual percentage rate of charge, which sometimes corresponds to a nominal APR and sometimes corresponds to an effective APR.
The annual percentage rate of charge is the interest rate for the entire year, as opposed to just a monthly fee or rate. It is a fee for financing that is presented in the form of an annual rate.
Interest rate APR = 12%
Average balance = ((200*5)+(350*15)+(150*10))/30
Average balance = $258.33
Average balance*APR/12
Finance charge =\(\frac{258.33*20 \%}{12 }\)
Finance charge = $4.3055
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