Suppose that real GDP per capita of the United States is $32,000 and its growth rate is 2% per year and that real GDP per capita of China is $4,000, and its annual growth rate is 7%. How many years will it take for China's real GDP per capita to be larger than real GDP per capita in the United States

Answers

Answer 1

Given:

Real GDP of US = 32000

Growth rate of US = 2%

Real GDP of China = 4000

Growth rate of China = 7%

To find:

Number of years taken for China's real GDP per capita to be larger than real GDP per capita in the United States.

Solution:

The formula to calculate the years is,

[tex]GDP_{US}\times[1+growth_{US}]^n<GDP_{China}\times[1+growth_{China}]^n[/tex]

On plugging-in the values,

[tex]\Rightarrow32000\times(1+0.02)^n<4000\times(1+0.07)^n[/tex]

On solving the values we get,

[tex]\Rightarrow8<\frac{(1+0.07)^n}{(1+0.02)^n}[/tex]

Therefore, we can clearly identify that number of years is greater than 40 and less than 45.

Answer 2
Final answer:

It will take approximately 20 years for China's real GDP per capita to be larger than real GDP per capita in the United States.

Explanation:

To calculate how many years it will take for China's real GDP per capita to be larger than the United States, we need to use the formula:

GDP per capita (China) = GDP per capita (US) x (1 + growth rate)^n

Let's plug in the values given:

China's real GDP per capita = $4,000

United States' real GDP per capita = $32,000

Growth rate of China = 7% = 0.07

Growth rate of United States = 2% = 0.02

Let n be the number of years.

So, we have:

$4,000 = $32,000 x (1 + 0.02)^n

Simplifying the equation:

(1 + 0.02)^n = 0.125

Using logarithms, we can solve for n:

n = log(0.125) / log(1 + 0.02) ≈ 20.19

Therefore, it will take approximately 20 years for China's real GDP per capita to be larger than real GDP per capita in the United States.


Related Questions

Delux Technologies makes and sells only one product, a high-quality processor for mainframe computers. Delux was recently approached by Imagination Station, a large computer manufacturer, about purchasing their company. Imagination Station is engaging in a. related diversification, b. focused offerentiation c. related diversification d. vertical integratione. differentiation

Answers

Answer:

d. vertical integration

Explanation:

The strategy used by "Imagination Station" above is an example of "vertical integration." This is a type of strategy that allows a company to have control over its production steps.

Since Imagination Station manufactures computers, it wants to control its own supply of processor by trying to purchase Deluxe Technology. Having full control of supplying its own processors would mean an increase in the company's revenue because they have the ultimate power to reduce their cost.

So, this explains the answer.

Gaston Bank had interest revenues of $70 million last year and $30 million in interest expenses. About $300 million of Gaston's $800 million in assets are rate sensitive, while $600 million of its liabilities are rate sensitive. Gaston Bank's gap is $____.

Answers

Answer:

The gap amounts to $200 million

Explanation:

Computing the Gap of the Gaston bank using the formula as:

Gap = Rate Sensitive Asset - Rate Sensitive Liabilities

where

Rate Sensitive Asset amounts to $800 million

Rate Sensitive Liabilities amounts to $600 million

Putting the values above in order to compute the Gaston Bank Gap as:

Gap = $800 million - $600 million

Gap = $200 million

Therefore, the Gap of the Gaston bank amounts to $200 million

It is possible that a(n) ________ vertical marketing system can be more formally structured through strategic alliances and partnership agreements among channel members that agree to work in mutual cooperation. An example of this is the relationship between Walmart and Procter & Gamble. Multiple Choice distributive private corporate contractual administered

Answers

Answer:

administered

Explanation:

Based on the information provided within the question it can be said that the term that is being mentioned in this scenario is an administered vertical marketing system. This is a co-ordinated system of distribution channel organization that is characterized the movement of products from point of origin to consumer is controlled by a single individual as opposed to contractual ties. Which is the main marketing system that may benefit from agreements among channel members.

The nursing CEO has discussed implementation of EBP at hospital wide meetings. She is leading a team to incorporate EBP terminology into the vision and mission of the institution. She is also advising the multidisciplinary leadership team to incorporate evidence-based practice expectations into the performance appraisals of all staff members. The chief executive nursing officer is modeling:

A. continuous quality improvement methodology and techniques
B. marketing tactics that will help familiarize the staff with new terminology
C. professional duties for new protocol acceptance throughout the institution
D. strategies for incorporation of evidence-based practice into the infrastructure of the organization
D. strategies for incorporation of evidence-based practice into the infrastructure of the organization

Answers

The chief executive nursing officer is modeling: D. strategies for incorporation of evidence-based practice into the infrastructure of the organization.

Explanation:

Evidence-based practice in nursing field helps the clinicians to achieve better problem-solving approach. The nursing staff gets guidance from clinician's expertise, well-designed studies, patient values and preferences.

EBP can help in providing the most effective care for patients. The patients are given best care based on the available evidence. This helps in improving the outcome of patients.

Nursing staffs following the evidence-based practice gets improved patient outcomes.

In the above scenario, the nursing staffs are advised to follow the evidence-based practice to increase the performance of all staffs.

The correct choice is D. The chief executive nursing officer is modeling strategies for incorporating evidence-based practice into the organization by embedding EBP terminology in the institution's vision and mission.

The correct choice is D. This involves embedding EBP terminology into the vision and mission of the institution, and aligning performance appraisals with EBP expectations.Evidence-based practice (EBP) is a lifelong problem-solving approach that integrates the best evidence from well-designed research studies and evidence-based theories; clinical expertise and evidence from assessment of the health care consumer's history and condition, as well as health care resources; and patient, family, group, community, and population preferences and values. Incorporating EBP into the organizational infrastructure requires leaders to promote and model the use of evidence in decision-making, encourage continuous learning and transparency, and ensure that all team members have the necessary information, resources, and support to provide high-quality, safe patient care.

A vendor makes a new smartphone and presells four thousand units for $300 each. The factory has the capacity to produce one thousand smartphones per month. Anticipated sales are five hundred units per month. Which of these would occur during the first few months of sales?
1. Limited demand would increase the price.
2. Limited supply would increase the price.
3. Unlimited demand would decrease the price.
4. Unlimited supply would decrease the price.

Answers

Answer:

2. Limited supply would increase the price

Explanation:

In the given case the vendor sells in advance four thousand units for $300. While the installed capacity of the factory being to produce 1000 smartphones every month.

Expected sales being 500 units per month.

During the first few months, since the seller has already successfully sold 4000 smartphone units, high demand for the smartphones is evident.

Since the supply is limited to 1000 units only in a month and the quantity demanded being more as is evident by 4000 units being pre sold, during the initial phase, this would create a high demand.

And since the supply is limited, the seller will have to increase the price as the demand is lot more.  

Oliver slips and falls on Port Harbor's Tour Boat and is injured. Oliver files a suit against Port Harbor for $500,000. If Oliver is 20 percent at fault and Port Harbor is 80 percent, under the "50 percent rule" comparative negligence principles, Oliver would recover

Answers

Answer:

$400,000

Explanation:

Given:

Oliver suit amount against Harbor = $500,000

Oliver's fault = 20%

Port Harbor's fault = 80%

Note: According to the 50% rule Principles, Oliver will recover only Harbor's Fault amount from the total suit amount.

Oliver's Recover amount = Oliver suit amount against Harbor x Port Harbor's fault Percent

= $500,000 x 80%

= $400,000

Curious to see its worth, Irene takes a beautiful oil painting that she inherited from her grandmother to Eleanor, a respected art appraiser. Eleanor tells Irene the artwork is a worthless piece of junk, so Irene sells the painting to Aziz at a yard sale for $50. The following week, Irene finds out that Aziz sold the painting for $12 million dollars at auction, after an appraiser at the auction house determined it is the work of a famous painter named Thomas Gainsborough. Furious, Irene sues Eleanor. What result

Answers

Answer: First, we must add the options:

a. Eleanor will not be liable, because most people would not know that the painting was by Thomas Gainsborough.

b. Eleanor will not be liable as long as she can prove that Aziz did not know the painting was valuable when he bought it.

c. Eleanor will be liable if Irene can prove that all appraisers would recognize the painting as being valuable.

d. Eleanor will be liable if Irene can prove that the best appraisers would know that the painting was by Thomas Gainsborough

The correct option is C.

Explanation: This result will depend on whether Irene can prove beyond reasonable doubt, that all art appraisers, on seeing the painting would be able to recognize it as priceless or valuable.

If Irene can prove this, then Eleanor will be liable.

If you ask yourself whether you care more about what people think of you as part of their group or whether you care more about showing people your cool vampire costume, which of Peter Drucker's questions are you answering?

Answers

If you ask yourself whether you care more about what people think of you as part of their group or whether you care more about showing people your cool vampire costume, the  Peter Drucker's questions are you answering is (3) What does your customer value?

Explanation:

The five questions given by Peter  Drucker are:

1. What is your mission?

2. Who is your customer?

3. What does your customer value?

4. What results do you seek?

5. What is your plan?

As stated in the question

"If you ask yourself whether you care more about what people think of you as part of their group or whether you care more about showing people your cool vampire costume"

The question that we are answering through the above statement is question 3.(i.e. What does your customer value?)

Final answer:

The dilemma of choosing between asserting individuality or adhering to group norms corresponds to Peter Drucker's question, 'What should my contribution be?' Here, 'contribution' refers to the impact of your actions or decisions within a social or professional context.

Explanation:

The question asked is fundamentally aligned with one of famous management consultant Peter Drucker's essential questions: 'What does my contribution have to be?' This question requires an individual to introspect and consider their role within their social or professional environment, and how their actions or decisions impact their image within these contexts.

So, if you find yourself torn between asserting your individuality with your cool vampire costume or catering to the opinions of your group, you are essentially asking yourself, 'What should my contribution be?' - do you contribute to the cohesion of the group by conforming, or do you contribute by asserting your individuality and adding diversity to the group?

Bear in mind, this is not purely about choosing selfish interests over the group's; it's about understanding the nature of your contribution and how it aligns with your values and the group's expectations.

Learn more about Peter Drucker's questions here:

https://brainly.com/question/36613454

#SPJ3

The rental income generated by a lease can depend significantly on the proportion of property-level operating expenses paid by the tenant. In which of the following types of leases is the tenant responsible for all operating expenses?1. Gross lease2. Net lease 3. Net-Net lease4. Triple net lease

Answers

Answer:

4) Triple net lease

Explanation:

In a triple net lease (NNN lease), the tenant is responsible for all the expenses related to the leased property including property taxes, maintenance fees, reparations and property insurance. NNN leases are usually commercial leases only.

The landlord's disadvantage with a NNN lease is that the monthly lease payment tends to be lower since the tenant assumes all the costs related to the leased property. On the other hand, a NNN lease generally provides a stable cash flow, so its associated risk is lower.

Apple has been known to sell its products at higher rates than competitors, such as Microsoft, as it has been successful at convincing consumers that Apple products are special and more luxurious in comparison. By accomplishing this, Apple has gained:

Answers

Answer:

Market power.

Explanation:

Market power is also called monopoly power, and is defined as the ability of a firm to raise prices of its products above normal competitive prices of other fish in the market. Theses forms are able to raise prices without losing their customers. Price control is done by manipulating demand and supply of their products.

Apple has gained market power by convincing consumers that its products are special and more luxurious than others on the market. So they can increase price above the normal market level and still maintain their customer base.

Quality services is an organization that operates several companies that market food products. True or False

Answers

Answer:

True

Explanation:

Quality Services is an organization that operates several companies that market food products, restaurant equipment, and paper and plastic products.

Answer:

True

Explanation:

Quality services is a company that is involved in the operation of several companies accross the North East and Yorkshire for over a decade. They run a fleet of over 25 vehicles that brings fresh produce to national chains, restaurants, retailers, government, and educational institutions.

Primarily supply involves fresh fruits, vegetables, cheese, diary, dried goods, and preserves. Prepared fresh produce promotes customer convinience as they will save time and money, instead of waiting for preparation of produce.

It also has a section that counsels restaurant owners, and assists with launch of new restaurants.

If 39,100 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods. (a) Annual: Your answer is (b) Semiannual: Your answer is (c) Monthly: Your answer is (d) Daily: Your answer is (e) Continuously: Your answer is

Answers

Answer:

Explanation:

using the compound formula that is = S=p(1+i)^n

S is the future payment

P is the current investment

I is the rate of return

N is the time period

(a) Annual

S=p(1+i)n

S=39100(1+7%)^5

S=39100*1.402551731

S=54839.77267

(b) Semiannual:

Rate semi annualy = 7%*/2 = 3.5%

N total payments = 5*2 = 10

S=p(1+i)n

S=39100(1+3.5%)^10

S=39100*1.410598761

S=55154.41154

(c) Monthly:

Rate monthly = 7%*/12 = 0.5833%

N total payments in months = 5*12 = 60

S=p(1+i)n

S=39100(1+%)^60

S=39100*1.417597072

S=55428.04551

(d) Daily:

Rate monthly = 7%*/365 = 0.0192%

N total payments in months = 5*365 = 1825

S=p(1+i)n

S=39100(1+0.0192%)^1825

S=39100*55505.87288

S=55505.87288

(e) Continuously

S=p/i

S=39100/0.07

S=558571.4286

After the buyer and the seller have signed a sales contract, the seller changes his mind and defaults. The buyer sues the seller to force him to go through with the contract. This is known as a suit for ...
-specific performance

Answers

Answer:

The correct answer is Specific Performance.

Explanation:

Specific performance is a court order that compels a party to perform a specific act, usually what is stated in a contract. It is an alternative to damages and is classified as a fair remedy generally in the form of injunctive relief regarding confidential information or real property. Although a specific execution can take the form of any kind of forced action, it is generally used to complete a previously established transaction, making it the most effective remedy for protecting the interests of the innocent party to a contract. It is generally the opposite of an injunction, but there are mandatory injunctions that have a similar effect to specific compliance.

When there is excess demand, there is

Answers

Answer:

disequilibrium

Explanation:

An equilibrium occurs when quantity demanded equals quantity supplied.

When there is excess demand, supply is not equal to demand, hence there is disequilibrium.

Price floors, also called minimum prices are set by the government when prices are falling too low.

Price floors bring about excess supply.

Excess demand will cause price to rise, forcing the government to set a maximum price, called price ceiling.

A web designer quits a project where she was paid $50,000 on completion of the project. She starts a new company with sales revenues of $550,000 last year, while spending $250,000 on compensation for employees (excluding herself), $70,000 on capital, and $30,000 on materials. What was the firm’s economic profit?

Answers

Answer:

$150,000

Explanation:

Amount paid after project completion was =$50,000

The sales revenue for the new company = $550,000

Total deductions =$(250,000+70,000+30,000)=$350,000

Economic profit is the difference between the earned revenue from sell of outputs and cost of all inputs used and any opportunity costs.

In this case, opportunity cost will be the amount received by the web designer after the quit of the project.

Economic profit = $550,000 - $350,000-$50,000 = $150,000

Final answer:

The firm's economic profit is calculated by subtracting both explicit and implicit costs from the total sales revenue. With sales revenues of $550,000 and explicit costs of $350,000, the accounting profit comes to $200,000. After considering the implicit cost of $50,000 for quitting the previous job, the economic profit totals $150,000.

Explanation:

Economic Profit Calculation

To calculate the economic profit for the web designer's new company, we need to consider both explicit and implicit costs. The explicit costs here include compensation for employees ($250,000), capital expenditures ($70,000), and materials ($30,000). The total explicit costs thus amount to $350,000 ($250,000 + $70,000 + $30,000). With a sales revenue of $550,000, this leaves us with an accounting profit of $200,000 ($550,000 - $350,000).

However, to find the economic profit, we must also include the opportunity cost of the web designer quitting a project that would have paid $50,000 upon completion. Therefore, the economic profit is calculated by subtracting this implicit cost from the accounting profit, leading to an economic profit of $150,000 ($200,000 - $50,000).

Lenny works for Mechanical Engineers, P.A. While working on a Mechanical Engineers project, Lenny is injured. Under state workers’ compensation laws, Lenny will be compensated only if his injury was?a. ?accidental.b. ?intentional.c. ?material.d. ?incidental.

Answers

Answer: accidental.

Explanation: under the state workers compensation laws, Lenny would be compensated only if his injury was accidental. The law aims to protects employers from dooming civil claims and enables both casual and full-time employees to claim compensation directly from the Fund for work-related injuries and disability.

Furthermore, state compensation laws are put in place in every state to protect employees against loss of income and for medical payments because of work-related injuries, accidents, illness, or disease.

Babak owns a sports practice facility called Boston Batting Cages in Boston, Massachusetts. During the first year of operation, Boston Batting Cages incurred many costs. In that year, Babak spent $5,000 on labor, $2,000 on maintenance, and $1,000 on electricity. Babak took out a loan to open his business, in which he would have earned $1,500, and his previous job, which he could get back at any time, paid him $50,000.Boston Batting Cages incurred ________ in implicit costs.
a. $51,500
b. $9,500
c. $50,000
d. $8,000
e. $7,000

Answers

Answer:

$8000

Explanation:

They have to pay $8,000 as an implicit costs.

The implicit expenditure is the advantage of the right to use the personal resources of a company that is not listed as actual, distinct expenditures.

 Computation of Implicit cost for the Boston Batting Cage :

Implicit cost = Labor + maintenance + electricity

= $5,000 + $2,000 + $1,000

= $,8000

Final answer:

The total implicit costs for Babak's Boston Batting Cages are $51,500, which is the sum of his forgone salary of $50,000 and foregone interest of $1,500. So, the answer is (a) $51,500.

Explanation:

To calculate implicit costs for Babak's sports practice facility, we must consider the opportunity costs of his decisions that are not directly reflected in cash outflows. In this case, the implicit costs would include the forgone salary from his previous job, as well as the interest he could have earned if he hadn't taken out a loan to start his business.

The forgone salary is $50,000. In addition, instead of investing his money into his business, Babak could have earned $1,500 in interest. Therefore, the total implicit costs for Babak amount to:

$50,000 (forgone salary)+$1,500 (foregone interest)

This adds up to $51,500 in implicit costs. Hence, the answer is (a) $51,500.

In which case did the U.S. Supreme Court determine that the federal government did not overstep its bounds under the commerce clause when it enacted the Controlled Substances Act of 1970?
a. Shepard v. U.S.
b. Gonzalez v. Raich
c. Obergefell v. Ohio

Answers

The U.S. Supreme Court determine that the federal government did not overstep its bounds under the commerce clause when it enacted the Controlled Substances Act of 1970- Gonzalez v. Raich Case

Explanation:

Gonzales v. Raich was a case in which Raich was permitted  to grow and use Marijuana for medical purposes but the federal agents seized the marijuana plantation and destroyed it.

Raich  then seeked action under  the federal Comprehensive Drug Abuse Prevention and Control Act (CFA). In the decision taken by the U.S Supreme court under the commerce clause of the US Constitution,that the congress has the power to criminalize the use and production of home-grown marijuana even if state law allows its use for medicinal purposes.

An add in the newspaper claims that the price of milk will increase next week . At the same time, a new and improved pasteurization process makes milk production more efficient. Given these two effects, what can we say about the current equilibrium price and quantity of milk? 1. Equilibrium price will increase; the effect on quantity is ambiguous. 2. Equilibrium price will decrease; the effect on quantity is ambiguous. 3. Equilibrium quantity will decrease, equilibrium price will increase. 4. Equilibrium quantity will increase; the effect on price is ambiguous.

Answers

Answer:

Equilibrium quantity will increase; the effect on price is ambiguous.

Explanation:

An add in the newspaper claims that the price of milk will increase next week . At the same time, a new and improved pasteurization process makes milk production more efficient. Given these two effects, we can say about the current equilibrium price and quantity of milk that Equilibrium quantity will increase; the effect on price is ambiguous.

The conclusion that equilibrium quantity will increase is dependent on the fact that expectation on future prices is a major factor that leads to changes in demand

People’s expectations about the future can have a significant impact on demand. Or, more specifically, their expectations of future prices can change demand.

If consumers expect prices to increase shortly, current demand often increases, i.e., the demand curve shifts to the right.

The price of milk is expected to increase, 4. leading to a higher equilibrium price. However, due to opposing effects on supply, the effect on the equilibrium quantity is ambiguous.

When analyzing the equilibrium price and quantity in the market for milk, we must consider the effects of both supply and demand changes.

The expected price increase of milk suggests a shift in the supply curve to the left, indicating a decrease in supply. However, the improved pasteurization process increases production efficiency, shifting the supply curve to the right. These two opposing shifts make the effect on the equilibrium quantity ambiguous. Therefore, the correct choice is that the equilibrium price will increase; the effect on quantity is ambiguous.

Use the concepts of gross investment and net investment to distinguish between an economy that has a rising stock of capital and one that has a falling stock of capital. ""In 1933 net private domestic investment was minus $6 billion. This means that in that particular year the economy produced no capital goods at all.""

Answers

Answer:

The statement is false

Explanation:

The economy in 1933 had negative investment, but that doesn't mean that it didn't produce any capital goods during the year.

A negative net investment means that the money invested in new capital goods was less than the depreciation of existing capital goods. Theoretically it can also result form no new capital gains, but in real life that doesn't happen.

Verbal orders by telephone or in person are discouraged. In cases where verbal orders are necessary, which of the following is the most effective method by which the risk of miscommunication can be lessened?
a. The person receiving the order should read it back to ensure that the order is correct.
b. The order should be signed after the patient is discharged from the facility.
c. The order should be signed by another provider.
d. The person receiving the order should authenticate the order after it is entered into the record.

Answers

Answer:

The person receiving the order should read it back to ensure that the order is correct.

Explanation:

In business communication the best way to communicate orders is in written form since this allows for clear conveyance of the message in the order. Using verbal means to give orders over the phone is prone to misinterpretation and there is less accountability when the subordinate claims he did not understand the order.

To curtail this it is advisable for the recipient of the order to repeat the order. This shows it has been clearly understood.

The hotel chain Ritz-Carlton uses the phrase "Ladies and gentlemen taking care of ladies and gentlemen" to demonstrate the company's cultural commitment to take care of both employees and customers. Which of the following is the Ritz-Carlton using to express its corporate culture?a. The company is expressing its key corporate value with a slogan.b. The company is using a ceremonial demonstration of its values.c. The company is conveying the value of its employees with a story.d. The company is illustrating its heroes with strong company values.

Answers

Answer:

The company is expressing its key corporate value with a slogan.

Explanation:

The expression "Ladies and gentlemen taking care of ladies and gentlemen" is a slogan used by Ritz-Carlton to convey it's corporate cultural commitment to take care of both employees and customers.

The slogan is an effective way to communicate that its staff are ladies and gentlemen and are highly respected by the company. This will go a long way to boost staff moral and give them motivation to perform better in a company that values them.

Suppose a perfectly competitive firm is producing 37 units output, and the marginal cost of the 37th unit is $3. If the firm can sell each unit of output for $5 and the firm's revenue is sufficient to cover its variable cost, the firm should:__________.
A. lower its price.
B. decrease production.
C. increase production.
D. raise its price.

Answers

Answer:

correct option C. increase production.

Explanation:

given data

producing  = 37 units  

marginal cost MC = $3  

sell MR = $5  

solution

the profit is maximum at MR = MC   ..............1

and here MR = $5 and MC = $3

then production should be increased up to the  MC = MR = $5

so correct option is C. increase production

One desired outcome of analyzing strategic factors is identifying niches where an organization can use its ________ to take advantage of a particular market opportunity.

Answers

Answer: Core competency.

Explanation:

The Core competencies of a business are particular areas of strength a business possess that can only be found in that particular business and that gives the business a competitive advantage. Properly analysing a target market can help a business identify areas their core competencies can help them dominate in that particular target market.

Jill Scott is an accountant with Cameron and Associates, a law firm in downtown Seattle. The firm maintains a checking account with Southern Rock Bank for its operating expenses. On the 10th of every month, Jill gets an inventory report from the office manager listing the office supplies that are needed. Jill places the appropriate orders with Office Depot and writes them a check against the office's checking account. Who is the drawee in this banking transaction?A) Jill Scott.B) Office Depot.C) Cameron and Associates.D) Southern Rock Bank.

Answers

Answer:

There are usually 3 parties to a check transaction

The Drawer, the Drawee and the Payee.

The Drawee in this instance is Southern Rock Bank

Explanation:

The Bank warehousing the funds/Money is the one a check is drawn against, hence the term 'drawee"

The Account owner or representative who writes a check giving authority to the Bank to release of the Funds in its possession is the "Drawer

And the Beneficiary of the drawn up check becomes the Payee.

This is section 3.8 problem 30: a motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. for every $3 rise in the charge per room per day, one more room is vacant. each occupied room costs an additional $16 per day to maintain. (a) the demand function, expressed by p , the price in dollars charged for each room per day, as a function of x ,

Answers

The student is asked to provide a demand function p(x) = 60 + 3x showing the price of motel rooms as a function of the number of unoccupied rooms, x. The function is derived from the fact that every $3 rise in the price results in one more vacant room, starting from a base price of $60 with all rooms occupied.

The student's question involves creating a demand function for a motel owner, where the price of rooms and the number of vacant rooms are related. The demand function p(x) would be represented as a mathematical expression that shows how the price p, charged for each room per day, varies with the number of rooms x left unoccupied, from the initial scenario where all rooms are occupied at a price of $60.

We know that for every $3 increase, one more room remains unoccupied. So if x rooms are unoccupied, the price would increase by 3x dollars, leading to a demand function of p(x) = 60 + 3x. This indicates the price for each room given x number of vacant rooms.

Additionally, it's noted that each occupied room costs $16 more per day to maintain. This suggests that for x occupied rooms, the total maintenance cost would increase by 16x dollars, affecting overall profitability.

The demand function is[tex]\( p(x) = 60 - \frac{3}{80}x \).[/tex]

To determine the demand function, we start by establishing the relationship between the price per room, p and the number of rooms occupied, x. We are given that at a price of $60 per day, all 80 rooms are occupied. This gives us our initial point, which is (60, 80).

We are also given that for every $3 increase in the price per room per day, one more room becomes vacant. This tells us that the slope of the demand curve is [tex]\( -\frac{1}{80} \)[/tex]rooms per dollar, because for each $3 increase in price, the number of occupied rooms decreases by 1.

However, since we want the slope in terms of the price change per room, we multiply this slope by 80 to get the slope of the demand curve in terms of price as a function of rooms occupied. Thus, the slope is [tex]\( -80 \times \frac{1}{80} = -1 \).[/tex]

To find the demand function, we use the point-slope form of a linear equation:

[tex]\[ p - p_1 = m(x - x_1) \][/tex]

where [tex]\( (p_1, x_1) \)[/tex] is our initial point (60, 80) and m is the slope, which is [tex]\( -3 \)[/tex] (since for every room vacant, the price increases by $3).

Substituting the values, we get:

[tex]\[ p - 60 = -3(x - 80) \] \[ p = 60 - 3x + 240 \] \[ p = 300 - 3x \][/tex]

However, we need to express p in terms of x as a function, so we divide the entire equation by 80 to get the price per room as a function of the number of rooms occupied:

[tex]\[ \frac{p}{80} = \frac{300}{80} - \frac{3}{80}x \] \[ p(x) = 3.75 - \frac{3}{80}x \][/tex]

But since the price per room at full occupancy is $60, we adjust the constant term to reflect this:

[tex]\[ p(x) = 60 - \frac{3}{80}x \][/tex]

This is the demand function, where  p(x) is the price in dollars charged for each room per day as a function of (x), the number of rooms occupied."

Producing 200 units of good Y and 100 units of good X in the same factory costs the firm $50,000. In contrast, producing 200 units of good Y in one factory and 100 units of good X in another factory costs the firm $75,000. So if the firm produces the two goods together, it achieves what ?

Answers

Answer:

economies of scope.

Explanation:

Economies of scope happen when the total cost of producing one unit of product decreases as the total output increases. This happens because even if the variable costs per unit remain the same, the fixed cost per unit decreases as the number of units produced increases.

A company has a "bring your own device" (BYOD) policy for computers; anyone can just go out and buy whatever computer they want. Which stage of the hardware lifecycle does this scenario belong to?

Answers

Based on the company's bring your own device (BOYD) policy for computers, this scenario belong to procurement stage of the hardware lifecycle.

What is a hardware lifecycle?

A hardware lifecycle can be defined as a holistic methodology that defines the key steps, phases, or stages for the management of an information technology (IT) hardware such as a computer, router, switch, etc.

Basically, the phases of hardware lifecycle management include the following:

Procurement or leaseDeployment and installationMaintenanceUpgrade

Based on the company's bring your own device (BOYD) policy for computers, this scenario belong to procurement stage of the hardware lifecycle becuase all end users can go out and procure (purchase) whatever computer they want.

Read more on hardware here: brainly.com/question/959479

Consumer surplus is the a. amount of a good consumers get without paying anything. b. amount a consumer pays minus the amount the consumer is willing to pay. c. amount a consumer is willing to pay minus the amount the consumer actually pays. d. value of a good to a consumer.

Answers

Answer:

C) amount a consumer is willing to pay minus the amount the consumer actually pays.

Explanation:

Consumer surplus is a situation in which a consumer is willing to pay more for a product but he/she actually pays less that is he pays a lesser price compared to what he is willing to pay.

For example, a consumer is willing to pay $5 for a magazine but when he got to the mall, the price of the magazine is $4. The consumer surplus will be price he is willing to pay minus the price he bought it.

Consumer surplus= $5-$4

=$1

Consumer surplus is the difference between between the willing price of a consumer and the actual price paid(lesser than the willing price). It is a benefit to the consumer because they pay less than what is expected at the same value of satisfaction.

Consumer surplus is represented on a supply and demand curve by the area between the equilibrium price and the demand curve.

Property attributedefinitions is inconsistent with the keyschema of the table and the secondary indexes. True or False

Answers

Explanation:True.

Explanation:

This error comes from the DynamoDB table resources in your serverless.ylm. In a DynamoDB table definition, the

should only contain attributes that are used as KeySchema for the table and its indexes.

For example, the following table definition will result in the above error because the attribute is not being used in the table or index’s KeySchema.

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