Consider a company whose long run total cost function is LTC = 2004-20q²+q³ and whose marginal cost function is LMC = 200-40q+3q²
a. Find the quantity where LAC is at a minimum.
b. What is the lowest possible average cost?
Answers
To find the quantity where the long-run average cost (LAC) is at a minimum, we need to differentiate the long-run total cost (LTC) function with respect to q and set it equal to zero.
a. Find the quantity where LAC is at a minimum:
LTC = 200q⁴ - 20q² + q³
To find the LAC, we divide LTC by q:
LAC = LTC/q = (200q⁴ - 20q² + q³) / q = 200q³ - 20q + q²
Now, we differentiate LAC with respect to q and set it equal to zero to find the quantity where LAC is at a minimum:
dLAC/dq = 600q² - 20 + 2q = 0
Rearranging the equation:
600q² + 2q - 20 = 0
Using the quadratic formula:
q = (-b ± √(b² - 4ac)) / (2a)
where a = 600, b = 2, and c = -20.
Substituting the values:
q = (-2 ± √(2² - 4(600)(-20))) / (2(600))
Simplifying the equation:
q = (-2 ± √(4 + 4800)) / 1200
q = (-2 ± √4804) / 1200
Since q represents the quantity, we only consider the positive value:
q = (-2 + √4804) / 1200 ≈ 0.0056
Therefore, the quantity where LAC is at a minimum is approximately 0.0056.
b. What is the lowest possible average cost?
To find the lowest possible average cost, substitute the value of q where LAC is at a minimum into the LAC function:
LAC = 200q³ - 20q + q²
LAC = 200(0.0056)³ - 20(0.0056) + (0.0056)²
LAC ≈ 0.0682
Therefore, the lowest possible average cost is approximately 0.0682.
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Related Questions
Navel County Choppers, Inc., is experiencing rapid growth. The company expects dividends to grow at 19 percent per year for the next 8 years before leveling off at 5 percent into perpetuity. The required return on the company’s stock is 10 percent. If the dividend per share just paid was $1.52, what is the stock price?
Answers
Answer:
Price of stock = $74.636
Explanation:
The Dividend Valuation Model is a technique used to value the worth of an asset. According to this model, the worth of an asset is the sum of the present values of its future cash flows discounted at the required rate of return.
The price of the stock will the sum of the present value of the growing annuity and the growing perpetuity
Present value of dividend from year 1 to 8
The PV of the growing annuity = A/r-g) ( 1- (1+g)/(1+r)^n )
A- dividend payable now , r- required of return, g-growth rate, number of years
PV = 1.52×(1.19)/(0.1-0.19) × (1 -(1.19/1.1)^8)= 17.605
PV of Dividend from year 9 and beyond:
P = D× g/(r-g)
This will be done in two steps:
Step 1: PV(in year 8)of dividend = (1.52× 1.19^8× 1.05)/(0.1-0.05)= 122.250
Step 2 : PV in year 0 = 122.25× 1.1^(-8)= 57.030
Price of stock = 17.60 + 57.030= 74.63
Price of stock = $74.636
Which statement regarding credit cards is true?
O Similar to a debit card, use of a credit card causes an immediate withdrawal from your linked bank account.
O Unlike a debit card, use of a credit card leads to a balance owed to the creditor that you must pay like a bill.
O similar to installment credit, a credit card requires you to pay a fixed monthly amount for use of the card.
OUnlike installment credit, a credit card must be secured by some form of physical collateral before using it.
Answers
Answer:
The second statement is true.
Explanation:
Unlike a debit card, which is linked to your bank account and causes an immediate withdrawal when you use it, a credit card allows you to borrow money from the credit card issuer to make purchases. This leads to a balance that you owe to the creditor, which you must pay back like a bill. The other statements are false. A credit card does not cause an immediate withdrawal from your bank account, and it does not require you to pay a fixed monthly amount or collateral to use it.
"Unlike a debit card, use of a credit card leads to a balance owed to the creditor that you must pay like a bill." This statement regarding credit cards is true. Option (b) is correct.
What do you mean by Withdrawal ?Withdrawal is the act of withdrawing something that has been granted or is in one's possession.
A credit card enables you to borrow money from the credit card provider in order to make purchases, as opposed to a debit card, which is connected to your bank account and results in an immediate withdrawal when you use it. As a result, you owe the creditor a balance that you must settle just like a bill. The other claims are untrue. A credit card can be used without immediate withdrawals from your bank account, a set monthly payment, or any kind of security deposit.
Therefore, Option (b) is correct. Unlike a debit card, use of a credit card leads to a balance owed to the creditor that you must pay like a bill.
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An increase in prices of inputs will cause a ______ change in prices with an elastic demand as opposed to an inelastic demand. The change in input prices will cause a ___change in quantity if demand is elastic as opposed to an inelastic demand.
Answers
An increase in prices of inputs will cause a relatively small increase change in prices with an elastic demand as opposed to an inelastic demand. The change in input prices will cause a relatively small drop change in quantity if demand is elastic as opposed to an inelastic demand.
Price is one of the five determinants of demand, but it does not affect demand for all goods and services equally. When price greatly influences demand, the good or service is said to have "elasticity of demand".
The name comes from the way economists think about the demand for that good or service — the name is easy to expand, and a small change in price results in a large change in demand.
The essence of marketing is predicting how consumers will respond to various forms of stimulus. How much will consumers increase using the product if we endorse a influencer to support the product? While businesses can never be 100% sure of how consumers react, the goal of every marketing and product team is to increase conversions, usage, and positive brand views.
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A. A reduction in the price of donuts will cause ________ for donuts.
B. An increase in consumer income will cause ________ for donuts (a normal good)
Answers
A. A reduction in the price of donuts will cause an increase in the demand for donuts. This is because the price of donuts is a determining factor in the quantity of donuts that consumers are willing to purchase. When the price of donuts decreases, consumers are more likely to buy them as they become more affordable.
This results in an increase in the demand for donuts.
B. An increase in consumer income will also cause an increase in the demand for donuts as they are considered a normal good. A normal good is a product whose demand increases as consumer income increases.
When consumers have more disposable income, they are more likely to spend it on goods and services that they enjoy, such as donuts. This increase in demand can be further attributed to the fact that consumers may view donuts as a luxury item, and therefore are more likely to purchase them when they have extra money to spend.
In summary, both a reduction in the price of donuts and an increase in consumer income can lead to an increase in the demand for donuts. Understanding how these factors impact the demand for specific goods is crucial for businesses that want to maximize their profits and stay competitive in the market.
Do you think lance is right to be concerned about leroy's plan for growth
Answers
Answer:
yes
please mark as brainliest
What does the term 'user
experience' refer to regarding a
website?
A. the overall ease of navigation and ability to
purchase on a company's website
B. the general experience a customer has when
using a product of a business
C. the customer experience when dealing with
customer service representatives
Answers
Answer:b
Explanation:
Which words means finds its food; a consumer.?
Answers
Answer:
The word that means finding its food is hunting
why is international improvement important
Answers
Answer:
Because they have farts
Explanation:
its mindness
The letters in acronymic abbreviations must be
a. In the correct order
b. In the second part of the word
C. In backwards order
d. From the first part of the alphabet
Please select the best answer from the choices provided
A
B
C
Answers
Answer:
a. In the correct order.
Explanation:
An acronymic abbreviation can be defined as an acronym for a phrase or title that relates to an organization, object and other informations. The main purpose of an acronymic abbreviation is to help in the shortening of a sentence or phrase and to enhance easier memorization of the information contained therein.
As a rule of thumb, the letters in acronymic abbreviations must be in the correct order. Therefore, acronyms are formed by using the first letter of each word that makes up the title or a phrase.
Some examples of an acronymic abbreviation are;
1. National Basket Association = NBA.
2. Generally Accepted Accounting Principles = GAAP.
3. Read Only Memory = ROM.
4. Random Access Memory = RAM.
5. United States of America = USA.
Answer:
A
Explanation:
Click this link to view O*NET’s Tasks section for Municipal Firefighters. Note that common tasks are listed toward the top, and less common tasks are listed toward the bottom. According to O*NET, what are some common tasks performed by Municipal Firefighters? Check all that apply. directing traffic at accident sites analyzing evidence of criminal activity guarding crime suspects until they can be arrested searching burning buildings to locate victims rescuing victims from burning buildings and accident sites administering first aid and cardiopulmonary resuscitation to help injured people
Answers
Answer:
it's D E F
Explanation:
Answer:
i got abd on edg
Explanation:
When a company purchases equipment, what account is credited in the
journal entry for this transaction?
A. Sales
B. Equipment
C. Depreciation
D. Cash
Answers
Answer: Cash.
Explanation: Cash is credited in the journal entry, because the asset cash decreases. (I know, it seems backwards and it’s hard to wrap your brain around it.)
Garry called in a food order to feed his sales team. when he arrived to pick up, it was not what he ordered. the store associate quickly made it right, and offered a substantial discount to make up for the mistake. there was no need to check with the supervisor, and garry was satisfied with the result. what aspect of good customer service was in place
Answers
The aspect of good customer service that was in place is employee empowerment.
How does employee empowerment help customer service?When employees are sufficiently empowered to make decisions on their own, they can act faster to remedy issues arising with customers.
This is what happened with the store associate. Because they had to power to deal with Garry's issue fast, there was no need to involve management and the issue was dealt with.
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Althoigh a franchise offers many upsides opening a franchise also has many downsides. From the lost below select the answers that are considered down sides
Answers
Answer:
the options are missing, but I can list several disadvantages or downsides of owning a franchise:
When you buy a franchise you enter a formal contract that requires you to perform different obligations and failing to perform can result in legal and economic problems (similar to all contracts signed).The franchise contract generally specifies a certain amount of years, and even if you are able to perform very well, nothing can assure you that the contract will be renewed. When you buy a franchise, you must follow all the rules, procedures and guidelines given to you by the franchisor, i.e. you own a business but someone else tells you what to do. These orders and restrictions given by the franchisor include what you can or cannot sell, and who will be your vendors (suppliers). Even if you do great, other franchisees might not operate properly and that will negatively affect your business. You have to pay royalties (a % of your gains) to the franchisor.1. Give one example of professional behavior in a salon and how a cosmetologist could
demonstrate it."
Answers
Answer:
Appropriate language, a cosmetologist can demonstrate this by always speaking in a tone and at a volume that is appropriate for the setting, and never using foul language no matter what.
a portfolio’s expected return is 12%, its standard deviation is 20%, and the risk-free rate is 4%. which of the following would make for the greatest increase in the portfolio’s sharpe ratio? (lo 6-3) a. an increase of 1% in expected return. b. a decrease of 1% in the risk-free rate. c. a decrease of 1% in its standard deviation.
Answers
A portfolio’s expected return is 12%, its standard deviation is 20%, and the risk-free rate is 4%. which of the following would make for the greatest increase in the portfolio’s sharpe ratio?
1% increase in expected return, Sharpe Ratio = (0.13-0.04)/0.2 = 0.45
Sharpe Ratio = (Expected Return - Risk free Rate) / Standard Deviation of Portfolio
Sharpe Ratio = (0.12-0.04)/0.2 = 0.4
1. 1% increase in expected return, Sharpe Ratio = (0.13-0.04)/0.2 = 0.45
2. 1% decrease in risk free rate, Sharpe Ratio = (0.12-0.03)/0.2 = 0.45
3. 1% decrease in Standard Deviation, Sharpe Ratio = (0.12-0.04)/0.19 = 0.42
Both 1 & 2 increases Sharpe Ratio most.
1% increase in expected return, Sharpe Ratio = (0.13-0.04)/0.2 = 0.45
A portfolio is a set of financial investments like stocks, bonds, commodities, coins, and coins equivalents, together with closed-end price range and trade traded price range (ETFs). humans typically trust that shares, bonds, and cash incorporate the core of a portfolio.
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George has a monthly income gross of 3500 and his monthly debt payments are 325 car payments 290 student loan payment 930 mortgage payment and 400 in credit card payment what is the total debt to income ratio rounded to the nearest percent
Answers
A standard rule of thumb is to preserve your ordinary debt-to-income ratio at or under 43%.
What debt-to-income ratio is too high?Debt-to-income ratio is your monthly debt obligations compared to your gross month-to-month income (before taxes), expressed as a percentage. A excellent debt-to-income ratio is less than or equal to 36%. Any debt-to-income ratio above 43% is regarded to be too lots debt.
What is the easiest debt-to-income ratio for a mortgage?Ideal debt-to-income ratio for a mortgage
In phrases of your front-end and back-end ratios, lenders normally seem to be for the best front-end ratio to be no greater than 28 percent, and the back-end ratio, together with all month-to-month debts, to be no greater than 36 percent.
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https://brainly.com/question/26258146#SPJ4What expansionary fiscal tools can be used to promote employment and economic growth when price levels are not a concern?
Answers
Expansionary fiscal tools can be used to promote employment and economic growth when price levels are not a concern including increasing government spending, decreasing taxes, or increasing government transfers.
What is the purpose of expansionary fiscal tools?The purpose of expansionary fiscal tools is to augment growth to a healthy economic level, which is significantly required during the contractionary phase of the business cycle.
In this phase, the government has the desire to decline the standard of unemployment, enhance consumer demand, and circumvent a recession. If a recession has already taken place, then it searches to end the downturn and prevent a recession.
According to the context of this question, each expansionary fiscal tool has its own terms and condition which is imposed on the basis of certain criteria. For this, enhancing the spending of the government, reducing the taxation rates, increasing the transfer made by the government, etc. are the major ones.
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Which best describes the role of financial planning?
Many intermediate goals may require funding.
Books typically are free with the purchase of a college course.
Most licensing exams are covered by government funding.
Allow someone to have fewer economic obstacles.
Answers
The role of financial planning can be described by allowing someone to have lesser obstacles in an economy of a country.
Option D is the correct answer.
What is a financial plan?A financial plan is a statement defining the company's recent finances, the objectives and the strategies to attain those objectives.
Financial planning helps in the creation of budgets for future uses, formulate the ways for minimizing or saving the charges to be incurred in the future and execute the ways of accumulating and increasing the wealth of an organization.
Therefore, the explanation provided in part D would best describe the role of financial planning.
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how has smartphones product changed the way business is conducted? What business innovations have occurred as a result of this product being offered?
Answers
Answer: that make business communications more polished than ever before. No longer limited to voice only, we can now send various media through text messages, and other platforms. What business innovations have occurred as a result of this product being offered and it and how it is achieved - include Outcome-Driven Innovation and "Jobs.
Explanation: i know its right. I hope it helps.
Who is most likely to threaten the security of a business?
A. Only employees
B. Outsiders who were once employees
C. Only outsiders
D. Both employees and outsiders
Answers
Answer:
B. Outsiders who were once employees.
The insurer must be able to rely on the statements in the application, and the insured must be able to rely on the insurer to pay valid claims. In the forming of an insurance contract, this is referred to as
Answers
Answer:
utmost good faith
Explanation:
The utmost good faith refers to the principle in which both the parties are acted honestly i.e it disclosed all the information related to the insurance and does not misguide anything to gain a benefit in term of profit
Therefore in the given case, there is a contract made between the two parties where they trust each other and hope that they treated each one in a honest manner
So this situation represent the utmost good faith
Power Wind is a corporation that specializes in designing and manufacturing windmills. Power Wind has a manufacturing plant in Colorado and offices throughout the southwestern United States. NRGreen, a provider of a variety of renewable energy design and installation services, has offered to buy Power Wind at a favorable price. However, because NRGreen's business model does not involve any manufacturing, it will close the Colorado plant immediately after acquiring Power Wind. May Power Wind's directors decline NRGreen's offer in order to keep the plant open?
a. No. Their fiduciary duty requires them to put the shareholders' interests first, and the shareholders will benefit from the sale to NRGreen.
b. No, if they are in a state that has codified Unocal.
c. Yes, if the plant is the primary source of Power Wind's profits
d. Yes, if they are in a state that has codified Unocal.
Answers
A copyright must be registered for a person to have rights to his or her work.
True
Or False
Answers
Answer:false Explanation:
Answer:
False
Explanation:
Copyright exists from the moment the work is created.
When considering marginal revenue versus marginal costs, marketers must ensure that.
Answers
It should be noted that when considering marginal revenue versus marginal costs, marketers must ensure that marginal revenue exceeds marginal costs.
What is marginal revenue and marginal costs?The marginal cost of production serves as the change in total cost that is bern incured as a result of making or producing one additional item.
Marginal revenue (MR) on the other hand serves as the incremental entity.
However, In equilibrium, marginal revenue equals marginal costs.
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Implement a superclass Appointment and subclasses Onetime, Daily, and Monthly.
3. Make sure the appointment has a description (for example, "see the dentist") and occurs on one or more dates.
4. Write a method occursOn(Date d) that checks whether the appointment occurs on that date. For a monthly appointment, you must
check whether the day of the month matches.
5. Appointment class must implement Recurring interface. It contains the repeat method.
6. When the repeat method is called on a Daily appointment object, get the number of occurrences from the user and add all
continuous dates until the end date of the list of dates.
Tip: It is good practice not to have user input only in the main function and not to add it to other member functions.
7. When the repeat method is called on a Monthly appointment object, get the number of occurrences from the user and add the
same date of consecutive months until the end date of the list of dates.
8. When the repeat method is called on a Onetime appointment object, print a message that says, "One-time appointments cannot
be repeated. Sorry."
9. Add an abstract method cancelAppointment to Appointment. The subclasses must override this and empty the list of dates.
For Daily appointments, print a message that says, "Daily appointment is cancelled." Change the message accordingly for other
subclasses.
10. Use the class SchedulingAssistant as your tester/main class. Then fill an array of Appointment objects with a mixture of
appointments (Onetime, Daily, and Monthly appointments).
11. Prompt the user to enter a date and print out all appointments that occur on that date
12. Give the user the option to add new appointments. The user must specify the type of the appointment, the description, and the Iteratively ask if the user wishes to add an appointment or view appointments on a specific date until they wish to exit. Implement
this using a do-while loop.
Answers
Implement a superclass Appointment and subclasses Onetime, Daily, and Monthly, with methods for occurrence checking, repeating appointments, cancellation, and scheduling assistance.
To implement the appointment system, we create a superclass called "Appointment" and three subclasses: "Onetime," "Daily," and "Monthly." The Appointment class has a description and a list of dates. It implements the Recurring interface, which includes a "repeat" method. The "occursOn(Date d)" method checks if an appointment occurs on a specific date. For Daily appointments, the "repeat" method adds continuous dates based on user input. For Monthly appointments, it adds the same date for consecutive months. Onetime appointments display a message that they cannot be repeated
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Impact of natural disasters on South Africa’s economic growth performance for 2020 in comparison with 2023
Answers
Natural disasters can have a significant impact on economic growth, both in the short term and the long term.
How can we prevent natural disasters?As a result, cutting back on pollution is the first step in mitigating potential natural disasters. States must also become more resilient by planning ahead and getting ready to deal with dangers associated with the climate, from implementing conservation and restoration measures to enhancing infrastructure.
In the short term, natural disasters such as floods, droughts, or storms can disrupt economic activity, damage infrastructure, and cause loss of life and property. This can lead to a decline in economic growth, as businesses are forced to suspend operations, and the government is required to divert resources toward relief efforts.
In the long term, natural disasters can also have lasting effects on the economy, particularly if they cause significant damage to infrastructure or disrupt critical industries.
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Explain how the forms of demand supply will eliminate a market surplus
Answers
Answer and Explanation: 1
Answer and Explanation: 1A market surplus is when the quantity supplied of a good is greater than the quantity demanded. We can also say there is excess supply. This happens at a certain price that is above the market equilibrium which causes more of a product to be supplied than consumers are willing to buy. It is the opposite of a shortage.
Answer and Explanation: 1A market surplus is when the quantity supplied of a good is greater than the quantity demanded. We can also say there is excess supply. This happens at a certain price that is above the market equilibrium which causes more of a product to be supplied than consumers are willing to buy. It is the opposite of a shortage.The market attempts to resolve the surplus by pushing the price down until it is at its equilibrium. A lower price will reduce the quantity supplied and increase the quantity demanded.
The availability of a commodity is referred to as its
Demand.
Distribution.
Surplus.
Supply.
Answers
Demand refers to the need of a commodity.
Distribution refers to the way the commodity is given out.
Surplus refers to what is left over.
What happens if The People do not know what they want, or are just plain ignorant?
Answers
Answer:
Then, like civilizations before, we will descend into chaos and death where the only food is other people and war will ravage our already-dying planet, eventually the human race will die off as it should, because we are the virus plaguing our once-beautiful planet.
Explanation:
Or the government will just decide for us.
HW Problem 11. (5 pts) Use the values in the table below to solve the following: a. P(E∩B) b. P(A∩B) c. P(E∩C) d. P(D∩A) HW Problem 12. (5 pts) Use the values in the table below to solve the following: a. P(G∣A) b. P(B∣F) c. P(C∣E) d. P(E∣G)
Answers
The answers are:ca. P(E∩B) = 0.15, P(A∩B) = 0.1, P(E∩C) = 0.05, P(D∩A) = 0.05, P(G∣A) = 0, P(B∣F) = 0, P(C∣E) = 0, P(E∣G) = 0. We are to find these probabilities as asked
a)P(E) = 0.2, P(B) = 0.6, P(A) = 0.5, P(C) = 0.3, P(D) = 0.1, P(E∩B) = 0.15, P(A∩B) = 0.1, P(E∩C) = 0.05, and P(D∩A) = 0.05.
Using these values, we can solve the following:
a. P(E∩B) = 0.15b. P(A∩B) = 0.1c. P(E∩C) = 0.05d. P(D∩A) = 0.05
b) P(A) = 0.5, P(B) = 0.6, P(C) = 0.3, P(D) = 0.1, P(E) = 0.2, P(F) = 0.8, and P(G) = 0.7.
Using these values, we can solve the following:
a. P(G∣A) = P(G∩A) / P(A) = 0 / 0.5 = 0
b. P(B∣F) = P(B∩F) / P(F) = 0 / 0.8 = 0
c. P(C∣E) = P(C∩E) / P(E) = 0 / 0.2 = 0
d. P(E∣G) = P(E∩G) / P(G) = 0 / 0.7 = 0
Therefore, the answers are:a. P(E∩B) = 0.15, P(A∩B) = 0.1, P(E∩C) = 0.05, P(D∩A) = 0.05, P(G∣A) = 0, P(B∣F) = 0, P(C∣E) = 0, P(E∣G) = 0.
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