Self-study the Lagrange Relaxation method, and solve the following problem: Min 6x² + 4y²+ z² x+y=15 s.t.
y + z =10
Answers
The Lagrange Relaxation method is used to solve constrained optimization problems. To solve the given problem, we need additional constraints.
The Lagrange Relaxation method is an optimization technique that can be used to solve constrained optimization problems. In this method, we introduce Lagrange multipliers to incorporate the constraints into the objective function.
To solve the given problem, we have the objective function f(x, y, z) = 6x² + 4y² + z². The constraints are x + y = 15 and y + z = 10. We introduce Lagrange multipliers λ₁ and λ₂ for the two constraints, respectively.
We form the Lagrangian L(x, y, z, λ₁, λ₂) = f(x, y, z) - λ₁(x + y - 15) - λ₂(y + z - 10).
To find the critical points, we differentiate L with respect to x, y, z, λ₁, and λ₂, and set the derivatives to zero. Then we solve the resulting equations simultaneously to obtain the values of x, y, z, λ₁, and λ₂.
However, since the given problem only has two constraints, we cannot directly apply the Lagrange Relaxation method. Additional constraints are needed to properly utilize this technique.
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Related Questions
In Word Online, the Save As command is located under which tab?
File
Home
Layout
Review
Answers
Answer:
it is file
Explanation:
just did a test got it right
PLEASE HELP !!!
If you are not interested in a particular job, simply ignore efforts the company makes to contact you.
T OR F
Answers
It is false because it's important to maintain a professional and respectful attitude towards potential employers or the company, even if you're not interested in the job. Ignoring their attempts to contact you could harm your professional reputation and future job prospects.
A company is a legal entity that is formed to carry out business activities. It is usually created by a group of individuals who come together to achieve a common goal of providing goods or services to customers in exchange for money.
The purpose of a job provided by the company is to provide individuals with a means to earn a living, develop skills and experience, and contribute to society through their work.
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What is the structure of Public corporation
Answers
Public corporate structures are managed by a board of directors. The members of the board are from all walks of industry and commerce. The chairmen of these corporations are appointed by the government. The entire capital is financed by the government.
3. Kevin took out a loan for a car. He must pay $3,000.00 in interest, service
charges, and loan fees. What lending term best describes these costs?
Answers
Answer:
The finance charge
Explanation:
The finance charge is the total cost incurred when borrowing money, including interest amount and all other fees. It is the extra money paid on top of the borrowed amount. The finance charge may be a flat fee or a percentage of the principal amount.
The finance charge represents the expense incurred for using credit. The finance charge is an important consideration when choosing a preferred lender.
Melanie Cooper was hired to serve as Chief Executive Officer of Lexington Home for the Aged, Inc., a corporation that ran the Lexington Home for the Aged nursing home. When Ms. Cooper took over as CEO, the nursing home had been in financial trouble for decades and only had stayed open because of donations from private foundations and some financial help from the local government. The financial problems became worse while Cooper was serving as CEO. In addition, the home repeatedly was cited for violations of the state health code at a rate three times the average for the state. Billing records and patient medical records were disorganized and financial information was not tracked with the exception of a monthly review of the bank statements. As a result, the home failed to collect over $500,000 owed to it by patients. Two patients died under suspicious circumstances and shortly thereafter the nine-member Board of Directors voted to close the home. Several shareholders sued Cooper, alleging that they would have received more of a payout in the closure of the company if Cooper had been more diligent as CEO. Did Cooper breach her duties as an officer of the corporation?
1. Officers of a corporation are considered to be (fiduciaries, directors, trustees) of the corporation.
2. Cooper, as an officer of Lexington Home for the Aged, Inc., owed the corporation a duty of care, which means she must act (with reasonable intentions, in good faith, perfectly) exercise the care of a ordinarily (prudent, intelligent, faithful) person, and act in the (best, short-term, ordinary) interests of the corporation.
3. Officer have a duty to make (informed, absolute, perfect) decision.
4. While Cooper was an officer of Lexington, the company (did, did not) keep accurate financial records.
5. As a result of the record keeping, Lexington (collected, failed to collect) over $500,000 in income.
6. A failure to keep accurate records and the resulting lack of collections (would be, would not be) considered negligence by the officer.
7. Lexington's shareholders alleged that they were paid (too little, the right amount, too much) when the business closed.
8. If the shareholders suffered financial harm because of Cooper's actions, Cooper (would, would not) be liable for negligence unless the (business judgment, insider trading, officer protection) rule applies.
9. The business judgment rule applies as long as the officer took (reasonable, perfect, possible) steps to be informed about problems, had a (rational, hypothetical) basis for a decision, and (did, did not) have a conflict between personal and company interests.
10. In these circumstances, it (is, is not) likely that the business judgment rule will apply.
11. In analyzing Cooper's actions, it is most likely that Cooper (did, did not) breach her duty of care to the corporation.
Answers
It is likely that Cooper breached her duty of care to the corporation due to her failure to keep accurate financial records, address violations of the state health code, and prevent patient deaths.
Cooper probably violated her duty of care to the company. Cooper had a duty of care as the company's CEO to behave in the organization's best interests, with reasonable intentions, and with the usual care that would be used by a wise individual. She may not have maintained appropriate financial records, and as a result, the company was unable to recover more than $500,000 in inpatient debt. In addition, the nursing facility received three times as many citations for state health code breaches as the state average, and two patients died in questionable circumstances. These facts imply that Cooper did not act in a prudent manner to address the issues affecting the company. and maybe went against her duty of care.
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Perfect World Corp. is unlevered and is valued at $640,000. The company is currently
deciding whether including debt in its capital structure would increase its firm value. The
current cost of equity is 12%. One of its CFO's proposals is to issue $300,000 in new debt
with an 8% interest rate. Perfect World would repurchase $300,000 of stock with the
proceeds of the debt issue. There are currently 32,000 shares outstanding, and effective
marginal tax bracket is zero.
1) What will be new firm value under the proposed capital structure? (5 marks)
2) So far, we have considered a situation in which taxes do not exist. From this "perfect world." we now add complexity to understand what is relevant to the capital structure decision. Assume that Perfect World Corp. is subject to an effective marginal tax bracket of 34%. What will be the company's new cost of equity? (2.5 marks) What will be the company's new WACC? (2.5 marks)
3) Is there any target amount of leverage for Perfect World according to the pecking order theory? (1 mark)
4) What type of market frictions has been considered in the pecking order theory but not in the trade-off theory? (2 marks)
5) Is the following statement true or false? One of the implications of the trade-off theory is that Perfect World Corp. will use less debt when it is more profitable. (2 marks)
Answers
To calculate the new firm value under the proposed capital structure, we need to determine the value of debt and the repurchased stock.
Value of Debt: $300,000 (as stated in the proposal)
Value of Repurchased Stock: The repurchased stock will be $300,000.
New Firm Value = Current Firm Value - Value of Debt + Value of Repurchased Stock
New Firm Value = $640,000 - $300,000 + $300,000
New Firm Value = $640,000
With an effective marginal tax bracket of 34%, we can calculate the new cost of equity and the new weighted average cost of capital (WACC).
New Cost of Equity:
Cost of Equity = Current Cost of Equity
New Cost of Equity = 12% (no change as taxes do not affect the cost of equity)
New WACC:
WACC = (Cost of Equity * Equity Weight) + (Cost of Debt * Debt Weight)
Since the company is currently unlevered, the Debt Weight is 0.
New WACC = (Cost of Equity * Equity Weight)
New WACC = 12% (no change as taxes do not affect the WACC)
According to the pecking order theory, there is no specific target amount of leverage. The theory suggests that firms prefer internal financing (retained earnings) over external financing (debt or equity issuance). They will choose debt only when internal funds are insufficient.
The pecking order theory considers information asymmetry and adverse selection as market frictions. These frictions refer to the challenges firms face in conveying private information to external investors and the potential for adverse selection when choosing between different financing sources.
False. According to the trade-off theory, firms will use more debt when they are more profitable. This is because higher profitability implies a higher capacity to service debt and a lower risk of financial distress.
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a) Which talent management approach better fits the SMEs context and
why?
b) Why do Greek SMEs adopt a less strategic approach to talent acquisition?
c) What implications does this academic article make for SMEs, HR
practitioners and policymakers in terms of talent management?
Answers
It should be noted that talent management is important in businesses as it helps in the management of the important assets of the company.
Talent management.Your information is incomplete as you didn't provide the article or the SME in question. Therefore, an overview will be given. Some of the examples of talent management approaches include:
Employer branding.Employer reputation.Selection.Referrals.Onboarding and Inboarding.Engagement.Retention.Learning and development.For a SME, the important approaches will be employer branding and reputation. It's important for companies to build their reputation.
In conclusion, talent management helps in getting high potential employees and therefore, provides organizations with the managerial talent source and also a competitive resources advantage.
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Haswell Enterprises' bonds have a 25-year maturity, a 8% semiannual coupon, and a par value of $1,000. The going interest rate (rd) is 6.5%, based on semiannual compounding. What is the bond's price?
a. 1,063.62
b. 1,080.29
c. 1,118.31
d. 1,125.51
e. 1,184.14
Answers
The bond's price is $1,118.31, calculated based on a 25-year maturity, an 8% semiannual coupon, and a 6.5% semiannual interest rate.
To calculate the bond's price, we need to use the present value formula for bonds. The bond's price is equal to the present value of its future cash flows, which are the coupon payments and the face value of the bond.
Step 1: Calculate the number of periods
Since the bond has a 25-year maturity and semiannual coupon payments, the number of periods is 25 years multiplied by 2 (for semiannual periods), which equals 50 periods.
Step 2: Calculate the periodic interest rate
The going interest rate (rd) is given as 6.5% with semiannual compounding. We need to divide this by 2 to get the periodic interest rate. Therefore, the periodic interest rate is 6.5% divided by 2, which equals 3.25%.
Step 3: Calculate the bond's price
Using the present value formula for bonds, we can calculate the bond's price. The coupon payments are 8% of the par value ($1,000), which equals $80 per period. The face value of the bond is $1,000. By discounting each cash flow to the present and summing them up, we can find the bond's price.
The bond's price is calculated as follows:
PV = ($80/1.0325) + ($80/1.0325^2) + ... + ($80/1.0325^50) + ($1,000/1.0325^50)
By summing up all these discounted cash flows, we find that the bond's price is $1,118.31.
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What is the first step in the federal budget process?
a. Congress debates and compromises on a budget
b. Federal agencies propose spending
c. Executive branch creates a budget
d. President signs or vetoes budget
Answers
Answer:
executive branch create a budget
Explanation:
i think in every budget process the first step is to plan or create a budget
The Executive branch creates a budget, which is the Frist step in the federal budget process. Therefore option C is correct.
What is Budget?
A spending plan based on income and costs is called a budget. In other words, it's a projection of your income and expenses for a specific time frame, like a month or a year.
You can always have enough money for the things you need and the things that are crucial to you because budgeting helps you to make a spending plan for your money. Maintaining a budget or spending plan will also assist you in remaining out of debt or, if you are already in debt, in overwhelming it.
Depending on the specific area of the business that has to be prioritized, different budgets can be prepared. Below are three examples of common budgeting plans.
Forecast Budget
Performance Budget
Cash Budget
Hence, firstly executive branch creates a budget.
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Which is a contract used when two or more individuals create a business?
A Partnership agreement
B lease
C Employment agreement
D Employment offer
Answers
A. Partnership agreement
Answer:
Partnershi agreement
Explanation:
Using complete sentences, explain the difference between a need and a want and give an example of each.
Answers
Answer:
A need is something that you can't survive without. For example, you need food, water, shelter and clothing. A want is something you can live without, but having it makes life more enjoyable. For example, a TV, a cell phone, and a cool toy are all wants.
Is it necessary to allocate resources?
Answers
Answer:
It depends on the context.
Explanation:
In the example of a government allocating resources to the country then yes. They would set budgets/allocate certain amount of resources to ensure there is enough resources for each department.
This is similar to how we manage finances on a daily or monthly basis (?) e.g. our parents give us pocket money every day so we have a limited funding and do not overspend
We then decide what we want to spend our money (allocating resources) on so we can get what we want to buy or what we want to save
What economic theory would be most likely to make a person oppose taxing imports?
Answers
The economic theory most likely to make a person oppose taxing imports is "Laissez-faire"
"Laissez-faire" is an economic theory that opposes the government's involvement in economic affairs.
Imposing a tax on imports can have implications for local businesses.
Thus, this theory gained popularity in the USA in the 18th century opposing the government's intervention in economic affairs.
It's a French phrase that means "Let us do," because people believed that imports and exports should be managed by states and not the central government.
Scholars believed that economies go down when governments start imposing taxes on imports.
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Answer: capitalism
Explanation: took the test ;)
"making planning in itself is not sufficient."what is the requirement for the business to be successful.
Answers
Answer:
organization
Explanation:
if you are organized then you will have smoother and cleaner place to work in
Answer:
Do what you think, one day you will surely succeed.
Identify the correct pricing strategy. Incorporating _______ pricing strategy drives customers to pay a higher price for a valuable product. Businesses use market research, surveys, and analysis to convince customers to buy products that provide _______ for money.
Answers
Answer:
Price skimming
value for money
Explanation:
Price skimming is the pricing strategy in which businesses charge higher prices for the product initially and then start to reduce the price. The customers pay the high price charged for the product because of unique features of the product. Customers find the product value for money and so they are satisfied with the high prices.
Changing _________ of Millennials and Gen Z consumers fit perfectly with Poshmark's business model.
O Yes
O values
O adapt to
O stakeholders
Answers
The correct option is D. Changing stakeholders of Millennials and Gen Z consumers fit perfectly with Poshmark's business model.
A stakeholder is an individual, organization, or enterprise that’s impacted by the outcome of a task or an enterprise venture. Stakeholders have a hobby inside the achievement of the task and may be inside or outside of the doors of the agency that’s sponsoring the undertaking. Stakeholders are vital because they could have a fantastic or negative impact on the mission with their selections. There are also important or key stakeholders, whose support is needed for the mission to exist.
A stakeholder is someone, like every other member of the mission, and a few are less difficult to control than others. You’ll learn how to use stakeholder mapping strategies to perceive who your key stakeholders are and make certain you meet their requirements.
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Complete Question:
Changing _________ of Millennials and Gen Z consumers fit perfectly with Poshmark's business model.
A). Yes
B). values
C). adapt to
D). stakeholders
Suppose you buy a $100 government bond that is due next year. How much nominal interest will you receive if inflation is 4 percent over the year and the bond promises a real return of 3 percent
Answers
Answer:
Nominal rate of return= 7.12%
Explanation:
Inflation is the increase in the price level. It erodes the value of money.
Nominal interest is that quoted for investment or loan transactions. It has not been been adjusted for inflation.
Real interest rate is the amount of interest in terms of the the quantity of good and services that can be purchased. It is the nominal interest rate adjusted for inflation.
The relationship between inflation, real interest and nominal interest rate is given using the Fishers Effect;
N = ( (1+R) × (1+F)) - 1
N- nominal rate, R-real rate, F- inflation
Nominal rate of return =(1.03)× (1.04) - 1 =0.0712
Nominal rate of return = 0.0712 × 100 = 7.12%
Nominal rate of return= 7.12%
It's very urgent
which of the following statements about corporation is true
1) they are more common then partnerships in the U.S.
2) they are the most inexpensive form of business to start.
3) they are very easy to start
4) all business debts are the personal responsibility of the owners
Answers
Answer: While not usual they can be held responsible for all business debts.
Explanation: If you pledge a asset as a collateral a creditor may be able to take said asset and sell it.
50 POINTS
If (it) management does not "buy-in" to the plan, what might happen?
a. reduce confidence
b. nothing will change
c. increase confidence
d. management will be fired
Answers
Answer:
reduce confidence
Explanation:
i got it right on odyssey
Evaluate each of the marketing campaigns you created for your product concept. Which of these campaigns do you think would be most successful if actually implemented? Explain your answer by making specific predictions as to how your target market would likely respond to these various campaigns.
Answers
Answer:
The focus of your strategy should be making sure that your products and services meet customer needs and developing long-term and profitable relationships with those customers. To achieve this, you will need to create a flexible strategy that can respond to changes in customer perceptions and demand. It may also help you identify whole new markets that you can successfully target.
Explanation:
Answer:
For a campaign you should focus on what your strategy is when making your products and services meeting the customer. To create a flexible strategy that changes the response based on customer perceptions and demand.
Which is an example of a land-use law?
restriction of underage workers to 20 hours per week
limiting the price of a gallon of gas to $2
requiring that 15 percent of assets be kept on hand in a vault
limitation of two houses per acre in the residential section of a town
Answers
Answer:
easements, trespassing, and eminent domain. Explanation: Zoning is the most common form of land-use regulation, used by municipalities to control local property development. Other legal issues pertaining to land use include
What is the term for a legally-binding document outlining the terms and conditions of a business transaction?
Answers
Answer:
A contract.
Explanation:
Toplo: Costa & revenue (2)
Q1
Shampooch is a dog grooming business focused on providing a high quality and professional
service. The selling price for a full aroom, wash, cut and blow dry is £28 per dog with
variable cost of £8 per dog. The fixed costs are 1,000 per month
Activity Calculator
a) the total variable cost if 120 dogs are groomed per month
b) the total fixed costs If 120 dogs are groomed per month
c)the total costs If 120 dogs are groomed per month
Answers
The total variable cost if 120 dogs are groomed per month is £960.
the total fixed costs If 120 dogs are groomed per month is £1000.
The total costs If 120 dogs are groomed per month is £1960
Fixed cost and variable costFixed cost is the cost that remains constant regardless of the number of dogs that are groomed. If one dog or 100 dogs is groomed, fixed cost would remain the same.
Variable cost is the cost the increases with the number of dogs that are groomed.
Total cost is the sum of fixed cost and variable cost.
Total variable cost.Total variable cost = variable cost per dog x total number of dogs
£8 x 120 = £960
Total fixed costs.
The total fixed costs If 120 dogs are groomed per month is £1000.
Total costs
£960 + £1000 = £1960
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Describe one effect on businesses if private individuals own very few factors of production
Answers
If private individuals own very few factors of production, businesses may have to rely on government-owned resources, which can result in decreased efficiency and increased bureaucracy in obtaining and utilizing those resources.
If very few production elements are owned by private persons, there may be less rivalry between enterprises, which might result in higher pricing for goods and services. Small businesses may find it difficult to compete with larger firms that have more access to production variables because they lack the means to do so.
Additionally, without private ownership of factors of production, businesses may be less incentivized to innovate or improve efficiency, since they may not be directly reaping the benefits of their efforts. Ultimately, a lack of private ownership of factors of production can limit the potential for economic growth and development.
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Question 7 of 10
Which of the following is a tax-advantaged savings plan designed to
encourage savings for future college costs?
A. University plan
B. 529 plan
C. Scholarship plan
D. 592 plan
Answers
Answer:
It is the 529 plan to save money for college.
Explanation:
he changes in the American business system that have had the most dramatic impact on the workings of the free enterprise system are the changes in Multiple Choice the labor force. technology. financial regulations. consumer behavior.
Answers
It should be noted that the most dramatic impact on the workings of the free enterprise system is felt by changes in the labor force.
What is Free enterprise?Free enterprise serves as the freedom of individuals and businesses to undergo regulation.
It gives the individuals in businesses to create, produce on their own, no one forces people against their belief and this is felt by labor force.
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In her business communications class, matilda's teacher is focusing the week's lessons on correctness. paying attention to this characteristic will help communications be what? question 3 options: a. inclusive b. friendly and positive c. accurate and error free d. free from unnecessary words
Answers
In Matilda's business communications class, focusing on correctness will help communications be accurate and error-free.
Correctness in business communication means that the message is free from grammatical errors, typos, and other mistakes that could lead to confusion or misinterpretation. When communications are correct, they decision-making are clear and easy to understand, ensuring that the intended message is received and acted upon. Accuracy is particularly important in business communication, where even a small error could have significant consequences, such as causing a miscommunication that leads to a missed deadline or lost business opportunity. By focusing on correctness, Matilda and her classmates will learn how to produce clear, accurate, and error-free business communications that are effective in achieving their intended goals.
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Which of these would be considered the most expensive form of advertisement? A. Newspaper ad B. Radio ad c. Television ad D. Web banner
Answers
Television or radio ad
Answer:
Television advertisement
Explanation:
News Paper advertisement is probably the cheapest, Web banner coming at second cheapest probably around $60-130. Radio Advertising coming at 2nd most expensive, and Television at first.
what objects are necessary for the formation of shadows ?
Answers
Answer:
The following three things are required for a shadow to form:
a source of light.
an opaque object.
a screen or surface behind the object.
energy is an emerging industry promoting the use of water to provide energy.
Wind
Hydro
Water
Solar
Answers
Answer:
answer is solar energy cuz it is an emerging industry.