The rate of change of total profit, in dollars per time unit, is approximately $23.78 per unit of time when x = 49 and dx/dt = 29.
To find the rate of change of total profit, we need to use the formula:
P(x) = r(x) - c(x)
where P(x) is the profit function, r(x) is the revenue function, and c(x) is the cost function.
Given that r(x) = 9x and c(x) = 0.08x^2 + 0.7x + 40, we can substitute these values into the profit function to get:
P(x) = 9x - (0.08x^2 + 0.7x + 40)
Simplifying this expression, we get:
P(x) = -0.08x^2 + 8.3x - 40
To find the rate of change of total profit with respect to time, we need to differentiate the profit function with respect to time (t) using the chain rule:
dP/dt = (dP/dx) * (dx/dt)
where dx/dt is given as 29, and we need to find dP/dx at x = 49.
Taking the derivative of the profit function with respect to x, we get:
dP/dx = -0.16x + 8.3
Substituting x = 49 into this expression, we get:
dP/dx = -0.16(49) + 8.3 = 0.82
Finally, we can substitute this value and the given value of dx/dt = 29 into the formula for dP/dt to get:
dP/dt = (0.82) * (29) = 23.78
Therefore, the rate of change of total profit, in dollars per time unit, is approximately $23.78 per unit of time when x = 49 and dx/dt = 29.
In summary, we found the rate of change of total profit by differentiating the profit function with respect to x and then multiplying the result by dx/dt. This gives us the instantaneous rate of change of profit at a particular value of x and a given rate of change of x with respect to time.
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Professor Bong has just written the first textbook in Punk Economics. It is called 'Up Your Isoquant'. Market research suggests that the demand curve for this book will be Q = 2,000-100P, where P is the book's price. It will cost $1000 to set the book in type. This setup cost is necessary before any copies can be printed. In addition to setup cost, there is a marginal cost of $4 per book for every book printed.
a. What is the total revenue function R(Q) for Professor Bong's book?
b. What is the total cost function C(Q) for producing Professor Bong's book?
c. What are the marginal revenue function MR(Q) and the marginal cost function MC(Q)?
d. Find the profit-maximizing quantity of books for Professor Bong to sell.
Answer:
a. R(Q) = 2OQ - 0.01Q^2
b. C(Q) = 4Q + 1000
c. MR(Q) = 20 - 0.02Q; and MC(Q) = 4.
d. The profit-maximizing quantity of books for Professor Bong to sell is 800.
Explanation:
a. What is the total revenue function R(Q) for Professor Bong's book?
From the demand function, we can obtain price function P as follows:
Q = 2,000-100P
Q + 100P = 2,000
100P = 2,000 - Q
Divide through by 100, we have:
P = 20 - (1 / 100)Q
P = 20 - 0.01Q
The total revenue function R(Q) is the product of quantity demanded Q and price function of the book P as follows:
R(Q) = Q * P = QP .................... (1)
Since P = 20 - 0.01Q, we substitute into equation (1) and solve further as follows:
R(Q) = Q(20 - 0.01Q)
R(Q) = 2OQ - 0.01Q^2 <====== Total revenue function R(Q)
b. What is the total cost function C(Q) for producing Professor Bong's book?
By removing the dollar sign, this can be obtained as follows:
MC = Marginal cost = 4
VC = Variable cost = MC * Q = 4 * Q = 4Q
FC = Fixed cost = Setup cost = 1000
Therefore, the total cost function C(Q) can be obtained as follows:
C(Q) = VC + FC ...................... (2)
Substituting the values into equation (2), we have:
C(Q) = 4Q + 1000 <====== Total cost function C(Q)
c. What are the marginal revenue function MR(Q) and the marginal cost function MC(Q)?
To obtain the marginal revenue function MR(Q), the first derivative of the total revenue function R(Q) in part a is taken as follows:
MR(Q) = R'(Q)
MR(Q) = 20 - 0.02Q
To obtain the marginal cost function MC(Q), the first derivative of the total cost function C(Q) in part b is taken as follows:
MC(Q) = C'(Q)
MC(Q) = 4
d. Find the profit-maximizing quantity of books for Professor Bong to sell.
Since profit is maximized where MR(Q) = MC(Q), the profit-maximizing quantity of books for Professor Bong to sell can be calculated as follows:
20 - 0.02Q = 4
20 = 4 + 0.02Q
20 - 4 = 0.02Q
16 = 0.02Q
Q = 16 / 0.02
Q = 800
Therefore, the profit-maximizing quantity of books for Professor Bong to sell is 800.
Do you think workers of a company need to join in a trade union? Justify your answer
Explanation:
Because there is no unity the would not be done properly because there is role for every one
Question 6 of 10
The practice of fractional reserve banking means that:
O A. banks are required by law to operate as nonprofit organizations.
O B. banks are not allowed to use deposited funds to make loans.
O C. banks can change the interest rates on loans at any time.
O D. banks only keep a portion of their deposits as cash reserves.
Answer:
D. banks only keep a portion of their deposits as cash reserves.
Explanation:
A fractional reserve system needs a commercial bank to maintains the customer deposit percentage at the time of custody. This means that at any time the deposit fraction should have the cash backing i.e. physical also the fraction should be maintained
So according to the given situation, the last option is correct as the bank keep a portion of the deposits in cash reserves
QUESTION 10 of 10: You are planning to place an ad in a local newspaper. The size of the ad is 6 inches long by 5 columns wide. The
newspaper's rate per column inch is $20. How much will the ad cost?
a) $600
b) $625
c) $635
d) $645
Four people are applying for a job. This chart shows the company’s favorite characteristic of each of these job applicants:
Shareholders had a good year, earning a 29% annual rate of return. The PE ratio today is 10.0 and the company just announced earnings per share of $2.50. The company has a 90% payout ratio. How much did the stock price change over the past year?
Answer:
$3.68
Explanation:
Rate of return =29%
PE ratio = 10.0
Earning per share = $2.50
P1 = PE ratio * EPS
P1= 10*2.50
P1 = $25
Payout ratio = 90%
Dividend = 2.50*90%
Dividend = $2.25
Rate of return = (P1+D1-P0)/P0
0.29= (25 + 2.25 - P0)/P0
0.29 P0 = 27.50 - P0
1.29P0 = 27.50
P0 = 27.50/1.29
P0 = $21.32
Change in stock price = $25 - $21.32
Change in stock price = $3.68
If 42 of 500 people who clicked
your add bought a product online,
what would your conversion ratę
be?
A. 2.4%
B. 8.4%
C. 12.8%
D. 15.2%
Answer:
Conversion rate = 8.4%
Explanation:
Given:
Number of person clicked = 42
Total people = 500
Find:
Conversion rate
Computation:
Conversion rate = [Number of person clicked / Total people]100
Conversion rate = [42 / 500]100
Conversion rate = 8.4%
Do you agree with Archbishop John Foley that violence in the media can have a negative impact on young people? Why or why not?
Answer: Yes it can.
Explanation:
Young people have for ages looked up to the media to tell them what is trending and what isn't. The media therefore has a very strong influence on how young people behave because in telling them what is trending, the young will want to engage in those trendy actions so as not to be left out socially.
If violence is glorified in the media therefore - through music, movies, series or text - young people might pick up on this and think that violence is trendy and so will be more likely to engage in violence. If for instance young people see a music video where guns are being brandished by other young people, they will think it is okay to have guns.
Violence in the media can indeed have a negative impact on young people.
All of the following are economic issues facing communities EXCEPT: A. unemployment rises as people get laid off work B. population decreases as people move to find work C. property value goes up because of an increase of buyers D. schools lose money because property taxes go down Please select the best answer from the choices provided A B C D
Answer:
D
Explanation:
Suppose the GDP of the entire European Union is 350,000 euros and the exchange rate between euros and USD is 0.66 EURO=$1. What is the GDP of the European Union when measured in USD? Round your answer to the nearest hundredth.
Answer:
the GDP of the European Union is $530,303.030
Explanation:
The computation of the GDP of the European Union is shown below:
= Entire european union × euro ÷ exchange rate
= 350,000 euros × $1 ÷ 0.66
= $530,303.030
Hence, the GDP of the European Union is $530,303.030
We simply applied the above formula
a car travelling at 36km / h accelerates uniformly acceleration final 2m / s ^2 find its velocity in 5 second
Answer:
v = 20 m/s
Explanation:
Given that,
Initial speed of the car, u = 36 km/h = 10 m/s
Acceleration of the car, a = 2 m/s²
We need to find the final speed of the car in 5 seconds. Let the final speed is v. So,
v = u +at
Substitute all the values,
v = 10+2(5)
= 10+10
= 20 m/s
So, the final speed of the car is 20 m/s.
Drag the tiles to the correct boxes to complete the pairs.
Match the cost or benefit with the appropriate spending decision.
Answer:
can result in crushing interest expenses, obtaining a loan for a major purchase
can help in any emergency using your savings account money
does not require planning, making impulse purchases
establish good credit using credit card
Answer:
tile: Making impulse purchases = pairs: does not require planning
tile: Using credit cards = pairs: can result in crushing interest expenses
tile: Obtaining a loan for a major purchase = pairs: establishes good credit (if the payments are made on time every month until paid off)
tile: Using your savings account money = pairs: can help in an emergency
Explanation:
1st tile: by definition an impulse purchase is made quickly, without any planning.
2nd tile: if credit cards are used without paying off balances every month can lead someone to accruing large amounts of interest charges and can lead to financial ruin.
3rd tile: Typically when making large ticket purchases like homes or cars can build a great credit history because it gives you credit history and payment timeliness history.
4th tile: Typically when emergencies happen, there is no time for payments or financial planning. Savings funds can help during unplanned or emergency financial situations such as unplanned car repairs or car accidents.
Describe and evaluate what Pfizer is doing with its PfizerWorks. 2. What structural implications—good and bad—does this approach have? (Think in terms of the six organizational design elements.) 3. Do you think this arrangement would work for other types of organizations? Why or why not? What types of organizations might it also work for? 4. What role do you think organizational structure plays in an organization's efficiency and effectiveness? Explain
Answer: Pfizer is the world's largest pharmaceutical firm that's has a wide range in research. Most of their work is dependent on research they carry out, strategies they have developed from the research and innovation they put in place.
Explanation:
Pfizer is the world's largest pharmaceutical firm that's has a wide range in research. Most of their work is dependent on research they carry out, strategies they have developed from the research and innovation they put in place.
They look at making a concept in the future where they would work remotely and connect with workers in any where in the world and share information.
This arrangement would work for many other firms, as most firm have started planning towards working remotely, and many have started out the process already.
Organizational structure has a big role to play in the efficiency of an organization, it depicts the work flow from the top to the bottom, what each department is doing, who guides them and how they can do better.
1.increasing the temperature increases the rate of a reaction by dissolution of solid in liquid.
2.Tyndall effect is the ability of homogeneous mixtures to scatter light
Answer:
1. For many solids dissolved in liquid water, the solubility increases with temperature. The increase in kinetic energy that comes with higher temperatures allows the solvent molecules to more effectively break apart the solute molecules that are held together by intermolecular attractions.
2. The Tyndall Effect is the effect of light scattering in colloidal dispersion, while showing no light in a true solution. This effect is used to determine whether a mixture is a true solution or a colloid.
a command economy features:
A. private companies operating without government interference
B. the government directly controlling the production and sale of goods
C. people relying on customs to make economic decisions
D. the government placing some regulations on free businesses
Answer:
A. private companies operating without government interference
Explanation:
i just took the test
A command economy features the regulation of production and sale of goods by the government.
Option C is correct.
What is meant production?Production is referring to the activity where the saleable products are produced from the basic form of raw materials.
When the government controls the manufacturing and disposal of goods, then it allows the activity to be done by various entities and provided them the needed raw materials. This system is primarily concerned with the activity done in public interest.
Therefore, the feature provided in option B is correct.
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__ offers users an "Ask a Librarian" feature to inquire about the library's collections.
Answer:
Library of Congress (LOC)
Explanation:
A library also known as a bookhouse can be defined as an institution having various collection of books and other informative materials that people can read to gain more knowledge, insight and motivation about a particular topic. An example of a library is the Library of Congress (LOC) located in Washington DC, United States of America.
Library of Congress (LOC) refers to the research library used by the Congress of the United States of America to provide or gain access to a diverse and rich source of knowledge (informations) about things, places, animals, plants, people, etc.
Basically, it comprises of millions of literary works such as manuscripts, books, photographs, maps, recordings, newspapers in its collection and as a result of this, it is known to be the largest library in the world.
The Library of Congress (LOC) offers users an "Ask a Librarian" feature to inquire about the library's collections. Therefore, users can easily make enquiries from a librarian on any thing they aren't clear about using the Library of Congress (LOC).
equity shareholders are called what
Do you think a client’s wishes should trump ethics in the mind of an advertising professional? Why or why not?
Answer: They should not.
Explanation:
When it comes to the advertising industry, the wishes of the client are not of the highest priority, they are of the second highest priority.
The highest priority is to the industry and its integrity. If advertisers acted in an unethical manner, they would risk destroying the reputation of the advertising industry which would lead to a massive loss of trust in it that could severely impact it.
Regardless of how important a client might be therefore, their wishes should never trump the ethics required in the industry because these ethics maintain the integrity of the advertising profession.
A company had 6,950,000 net income for the year. Is net sales were 14,700,000 for the same period. Calculate its profit margin.
Which one of these business structures has one owner and is run by one
person?
A. Limited liability company
B. Partnership
C. Corporation
D. Sole proprietorship
Sole proprietorship is the one of these business structures has one owner and is run by one person. Hence, option D is correct.
What is Sole proprietorship?
A person who runs an unincorporated business alone is known as a sole proprietor. If you choose to treat a domestic limited liability company as a corporation, however, and you are the only member, you are not considered to be a sole owner.
Small enterprises like a neighborhood grocery store, a neighborhood clothing store, an artist, a freelance writer, an IT consultant, a freelance graphic designer, etc. are examples of sole owners.
A business that is owned, run, and controlled by one person is known as a sole proprietorship. A Sole Proprietor runs the business, reaps the financial benefits, and bears all risks and liabilities. It is appropriate for independently run businesses like hairdressers or small retail stores.
Thus, option D is correct.
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HELP FOR CROWN!!!
what is one thing a bank will require you to have when you ask for an auto loan?
A. keys to the car
B. proof of auto insurance
C. driver's license
D. letter of recommendation
Answer:
It is either C or D
Explanation:
Answer:
Driver's License
1. What is the annual percentage rate (APR) for this credit card?
2. For cash advances what is the APR?
3. What three things would move the APR for the balance on this credit card to 28.99%?
4. What is the annual fee that customers are charged for holding this credit card?
5. If you decided to transfer the balance from another credit card to this credit card, what would be the fee charged?
a. What would be the APR charged for the transferred balance?
6. What is the fee for a cash advance?
7. If you use this credit card in a foreign country, what would be the fee on each transaction you made in the foreign country?
8. If you are late on making a payment, what would be the fee charged?
9. What would be the fee charged if you went over your credit limit?
Answer:
1. For purchases, the APR during an introductory period is either 8.99% or 10.99% or 12.99% depending on creditworthiness. After the introductory period the APR is 14.99%
2. Cash advance monthly rate changes based on what the Prime Rate is that month + 14.99% so if the prime rate is 3, add 14.99 to that so 17.99% of the amount received in cash. So if you take $200 cash advance, the amount charged at 17.99% would be 0.1799 x 200 =$35.98.
3. If the card holder does any of the following: makes a late payment, goes over their stated credit limit, make an account payment that is returned, or commit the afore mentioned acts on another account held by this same creditor the APR is then increased to 28.99%.
4. The annual fee charged for the credit card is $20.
5. The fee for a balance transfer is Either $5 or 3% of the amount that is transferred or $100 (whichever is greater) to this card from another account.
a. The APR charged for a balance transfer is 15.99%, but would vary based on the market Prime Rate.
6. Fee for cash advance is $5 or 3% of the amount of cash advance taken - whichever amount is largest.
7. 2% of the amount charged (in US dollars) in a transaction.
8. A late fee of $25 will be charged on an account with a balance of $999 or less. If the account balance if over $1000 the late fee of $35 will be charged and the APR will increase to 28.99%.
9. A fee of $29 is charged for accounts that exceed the credit limit in addition to an APR increase to 28.99%
Explanation: explanations are with the answers listed above.
Martin is a credit counselor working with a client, Kim, who is in serious financial trouble. Kim is hesitant because she has a long way to go and a lot of work to do before she can be financially healthy again. What is the best way for Martin to explain the next steps to her?
A.) Martin should present the information in small manageable steps rather than give her a lengthy to-do list.
B.) Martin should make a list of tasks that must be completed and do them for her, since he is an experienced professional.
C.) Martin should compile a list of all the tasks that Kim must complete and suggest that she report back to him after she is finished.
D.) Martin should not encourage her to do anything she is reluctant to do, even if it means salvaging her financial life in the long term
Answer:
C
Explanation:
C la respuesta es la C ya que
Which one is not a Function in MS Excel?
MAX
ARG
MIN
SUM
The human resource manager is undecided about whether to use internal or external
recruitment for filling the supervisor vacancy. Which method would you recommend? Justify
your answer, with advantages and disadvantages.
Helppp !!
Is a group of customers who share common wants and needs :
A) Market management
B) Marketing
C) Promotion
D) Product / Service
a family gets 300 litres of free water,January has 31 days how many free kilolitres of water did this family get in January
Answer:
i think its 9300
Explanation:
you just say 300l multipled by 31days and you get 9300
1. ¿que tiene que ver el gobierno populista con el universal basic income? 2. ¿es el UBI bueno para la economía?
Answer:
Un ingreso básico es un ingreso garantizado que todo ciudadano recibe del gobierno, independientemente de los ingresos que genere a través de su trabajo. Los defensores de esta medida sostienen que la renta básica universal aumenta las posibilidades de continuidad del desarrollo, que pueden posibilitar un ingreso básico, como estudios, inversiones, opciones de uso del tiempo y otras posibilidades de autorrealización.
Ahora bien, los defensores institucionales de esta medida suelen ser los gobiernos de tinte populista, que buscan a través de estas medidas benefactoras captar votos, otorgando beneficios económicos a cambio del apoyo político de los ciudadanos.
En cuanto a la economía, el UBI podrá ser beneficioso si fomenta el consumo y la producción de bienes, pero debe contemplarse que no puede, de ninguna manera, llegar a reemplazar los ingresos generados por el trabajo.
Benjamin wants to become a biotechnologist and eventually run his own
laboratory. In order to reach his goal, what education should Benjamin plan
to get?
A) internship
B) apprenticeship
C) associate degree
D) master's degree
Answer:
what education should Benjamin plan
to get?
D) master's degree.
What is one cost of avoiding insurance?
falling into debt if faced with a serious problem
not benefitting from insurance de bructibles
not being able to purchase a car or home
facing increased probability of accidents
Answer:
A
Explanation:
Edge