which type of chart would you create to compare expenses in each department as a percentage of all expenses?

Answers

Answer 1

Based on the information given, the best chart that can be used to represent the scenario will be an exploded pie chart.

A pie chart simply refers to a type of graph that's is used in displaying the data in a circular graph. In this case, the pieces are proportional to their fractions.

The exploded pie chart can be used in comparing the expenses in each department as a percentage of all expenses.

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Related Questions

What is the difference between a total and a subtotal?

Answers

Explanation:

SUB-TOTAL:

The total for a part of a list of numbers being summed.

TOTAL:

An amount obtained by addition of smaller amounts.

Answer:

subtotal is all the different parts being added together from different list.

total is the all items being added together plus tax.

Explanation:

The function f(x) = 2,000(1 + )12t models the balance in a savings account.

The savings account had an initial balance of _ and compounds
_ at an interest rate of _

Answers

? wat class this for

Answer:

In the exponential function f(x) = P(1 + )nt :

P = principal value

r = the annual interest rate

n = number of compounding periods in a year

t = time in years

For the given function, P = 2,000, r = 0.0225, or 2.25%, and n = 12. So, the interest compounds 12 times a year, or monthly.

Therefore, the savings account had an initial balance of $2,000 and compounds monthly at an interest rate of 2.25%.

Explanation:

Explanation from PLATO

country a can produce up to 30 cars and 10 tanks. country b can produce up to 20 cars and 10 tanks. without trade country a produces 15 cars and 5 tanks, and country b produces 10 cars and 5 tanks. if trade is allowed, what are the gains from trade?a. there are no gainsb. 5 cars and 5 tanksc. 5 carsd. 5 tanks

Answers

The gains from trade in this scenario would be "5 cars and 5 tanks". Option B is correct.

Country A has a comparative advantage in producing cars (it can produce 30 cars compared to Country B's 20) while Country B has a comparative advantage in producing tanks (it can produce 10 tanks compared to Country A's 5). Therefore, if they specialize in producing the goods they have a comparative advantage in and trade with each other, both countries can benefit.

If Country A specializes in producing cars and trades with Country B, they can trade 5 of their cars for 5 of Country B's tanks. This means Country A will end up with 10 cars and 5 tanks (an increase of 5 cars and no change in tanks) while Country B will end up with 15 cars and 5 tanks (an increase of 5 cars and no change in tanks).

Similarly, if Country B specializes in producing tanks and trades with Country A, they can trade 5 of their tanks for 5 of Country A's cars. This means Country B will end up with 10 cars and 5 tanks (no change in cars and an increase of 5 tanks) while Country A will end up with 20 cars and 5 tanks (an increase of 5 cars and no change in tanks).

Either way, both countries end up with more of both goods than they would have without trade, making option B the correct answer.

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The data on price and quantity purchased relating to a commodity for 10 months are given
below:Calculate coefficient of correlation between price and quantity.

Answers

Price and number of goods purchased are inversely correlated. Consequently, price rises as quantity rises.

What is data on price ?

Pricing Data is accurate information on the costs of goods that are strikingly comparable to those being purchased. Prices are used interchangeably in this definition to refer to actual selling prices as well as suggested or prospective selling prices. Data pertinent to both primary and subcontract prices are referred to in the definition. Data may consist of specific costs, weights, addresses, names, ages, temperatures, dates, or distances, for instance. Data is a basic type of knowledge and has no meaning or use by itself. In other words, facts must be interpreted in order to have any significance. A pricing list again for new term has been sent by the Contractor to authorized buyers.

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Can people boost their points on their questions?

Answers

Answer:

Yes.

Explanation:

Yes but I’m not sure how

why is enterprise important to a country ?

Answers

Answer:

New and improved products, services, or technology from entrepreneurs enable new markets to be developed and new wealth to be created. Additionally, increased employment and higher earnings contribute to better national income in the form of higher tax revenue and higher government spending.

Explanation:

here is your answer if you like my answer please follow

Calculate the B/C ratio for the following cash flow estimates at a discount rate of 8% per year. Is the project justified?
Item Estimate
PW of Benefits, $ 4,200,000
AW of Disbenefits, $/year 45,000
First Cost, $ 1,350,000
M&O Costs, $/Year 280,000
Life, Years 20
The B/C ratio is ( )
The project is( )

Answers

The B/C (Benefit-to-Cost) ratio for the given cash flow estimates at a discount rate of 8% per year is 2.22. The project is justified because the B/C ratio is greater than 1.

To calculate the B/C ratio, we need to compare the present worth (PW) of benefits to the present worth of costs. The PW of benefits is $4,200,000, while the PW of costs is the sum of the first cost and the present worth of annual operation and maintenance (M&O) costs. The first cost is $1,350,000, and the present worth of M&O costs can be calculated using the annual worth formula. Using the annual worth formula, the present worth of M&O costs is $4,000,000. Adding this to the first cost, we get a total PW of costs of $5,350,000. Now, we can calculate the B/C ratio by dividing the PW of benefits by the PW of costs:

B/C ratio = PW of Benefits / PW of Costs

B/C ratio = $4,200,000 / $5,350,000

B/C ratio ≈ 0.785 Since the B/C ratio is less than 1, the project is not justified.

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Which term best completes the outline?
?
economy
Economic freedom
Competition between businesses
Decisions motivated by profit
O A. Traditional
B. Mixed
C. Market
D. Command

Answers

Answer:

C. Market.

Explanation:

An economy is a function of how money, means of production and resources (raw materials) are carefully used to facilitate the demands and supply of goods and services to meet the unending needs or requirements of the consumers.

Hence, a region's or country's economy is largely dependent on how resources are being allocated and utilized, how many goods and services are to be produced, what should be produced, for whom they are to be produced for and how much money are to be spent by the consumers to acquire these goods and services.

Basically, there are four (4) main types of economy and these are;

I. Mixed economy.

II. Command economy.

III. Traditional economy.

IV. Free market economy.

A free-enterprise system also referred to as capitalism or free market can be defined as a type of economy in which prices, products and services are being determined by the market rather than the government. Thus, a free-enterprise system is devoid (free) of government regulations, interference or control because the market (enterprises) are the ones who are saddled with the responsibility of determining the market forces.

Simply stated, a free-enterprise system is a type of economy that is completely driven by demand and supply of goods and services.

The four (4) main elements or characteristics of a free enterprise system includes the following;

a. Profit: businesses are all out to generate revenue and profit through the sales of finished goods.

b. Economic freedom: means of production of goods and services are controlled by the people rather than the government. Thus, the producers are free to make their economic choices or decisions such as deciding on how much is to be charged on a product.

c. Private ownership of properties: the various factors of production are owned and allocated by the people. Thus, citizens have rights to the ownership and use of private property.

d. Competition: there are many buyers and sellers of homogeneous products, as well as free entry and exit in the market. Thus, consumers are free to make their economic choices or decisions such as deciding on which product to buy, which goods interest them, where to shop for goods, etc.

In conclusion, a market is characterized by the following economy;

I. Economic freedom

II. Competition between businesses

III. Decisions motivated by profit

is command

Explanation:

trust me

Procurement of commodities is a critical activity for a company's survival, particularly in the manufacturing industry. It is essential in the industry because it standardizes the procurement of materials, the allocation of responsibilities, and the risk sharing between the parties. Procurement,
as you may know, is a set of procedures that must be followed in order to get goods or services, from requisition to purchase order and invoice approval.
In this case study, a Petrochemicals company in Saudi Arabia decides to purchase a variety of plant-related equipment. A team is formed by a company's senior manager. This team is in charge of ensuring that the procurement process is reliable in order to avoid delays, additional expenses, and other requirements.
Questions (To answer the questions, you can use any source, such as the internet, articles, etc.)
1. Develop a service blueprint for a typical procurement process, highlighting the potential fail points.
2. Based on the potential fail points (processes) identified in part 1, choose the important process (only one process based on your opinion) that might fail. Apply failure mode and effect analysis (FMEA) to prioritize all possible potential failure modes of the selected process and take the required actions to ensure the process design performance. Please show the selected process's potential critical failure modes, failure effects, potential causes,
and so on.

Answers

A service blueprint for a typical procurement process would outline the various steps involved, such as requisition, supplier selection, negotiation, purchase order creation, goods receipt, and invoice approval. Potential fail points in the process could include delays in requisition approvals, miscommunication with suppliers, errors in purchase order creation, delays in goods receipt, and issues in invoice approval.

The procurement process in the manufacturing industry is a critical activity that requires careful management to ensure the timely and cost-effective acquisition of materials and equipment. A service blueprint helps visualize the end-to-end process, including both front-stage and back-stage activities. It provides an overview of the steps involved and highlights potential fail points where errors, delays, or miscommunication may occur.

In the procurement process, potential fail points can arise at various stages. For example, delays in requisition approvals can result in procurement delays and impact production timelines. Miscommunication with suppliers can lead to incorrect or delayed deliveries. Errors in purchase order creation can cause confusion and discrepancies in pricing or quantities. Delays in goods receipt can affect production schedules, and issues in invoice approval can lead to delayed payments.

Identifying these potential fail points allows the company to proactively address and mitigate risks. By streamlining the process, establishing clear communication channels, implementing quality checks, and providing adequate training to the procurement team, the company can reduce the likelihood of these failures occurring.

By continuously monitoring the procurement process, the company can identify areas of improvement and implement corrective actions to enhance efficiency and effectiveness. Regular evaluation of the procurement process ensures that any potential fail points are addressed promptly, leading to smoother operations and reduced risks.

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If you could franchise a business - what business would you choose? (2-3 sentences)

Answers

Answer:

I would choose the Franchise Dunkin Donuts since many people get hungry in the morning. And since plenty of people work in the day times. It would be a mastermind full proof plan of sweet success.

Explanation: In Russia dog does not eat your homework, I do.

It is estimated that 20 patrons will attend an event for every $100 spent in advertising. If tickets cost $40, how much can a promoter expect to increase sales if he spends $10,000 in advertising?.

Answers

the promoter can expect to increase sales by 2,000 x $40 = $80,000 when  It is estimated that 20 patrons will attend an event for every $100 spent in advertising. If tickets cost $40

To estimate how many patrons will attend an event, we can use the given ratio of 20 patrons for every $100 spent in advertising. If a promoter spends $10,000 in advertising, this means they will expect to reach 10,000/100 = 100 times the baseline of 20 patrons, which equals 2,000 patrons. If tickets cost $40, the promoter can expect to increase sales by 2,000 x $40 = $80,000. However, it's important to note that this is only an estimate and other factors, such as the quality of the event and competing events in the area, may affect actual attendance and sales.

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Question #7
Choose the era that best matches the statement given.

The ____ immediately followed the Great Depression.

Answers

Answer:

recession

Explanation:

The great recession followed the great depression

assume+a+bank+offers+an+effective+annual+rate+of+7.26%.+if+compounding+is+monthly+what+is+the+apr?

Answers

The APR (Annual Percentage Rate) can be calculated based on the given effective annual rate of 7.26% with monthly compounding. The APR is approximately 6.98%.

The APR represents the annualized interest rate charged by a financial institution. It is used to compare different loan or investment options. In this case, we are given the effective annual rate of 7.26%, which takes into account the compounding frequency of monthly. To calculate the APR, we need to find the nominal interest rate that would result in the same effective annual rate when compounded monthly. We can use the following formula APR = (1 + i)^n - 1 Where i is the nominal interest rate and n is the number of compounding periods in a year. By substituting the values into the formula, we can solve for i: (1 + i)^12 - 1 = 0.0726 Simplifying the equation: (1 + i)^12 = 1.0726 Taking the twelfth root of both sides: 1 + i = (1.0726)^(1/12) 1 + i = 1.005992 Subtracting 1 from both sides: i = 0.005992 Converting the decimal to a percentage, the APR is approximately 0.5992%, which is rounded to 6.98%.

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how many questions are on the math section of the ACT test

Answers

Answer:

isnt it usually 60?

Explanation:

i think sure 60
step-by-step

In what way does a deductible help an insurance company?
It adds to the company's pool of funds.
It increases consumers' insurance premiums.
It lowers the payout the company has to make.
It reduces consumers' co-payments.

Answers

Answer:

it lowers the payout the company has to make

Explanation:

Deductible help an insurance company by: It lowers the payout the company has to make.

What is insurance?

Insurance can be defined as the coverage that help to cover costs in case of unexpected circumstance.

Insurance companies often makes use of deductibles by making policyholders to pay part of the claims. This help to reduce the money that the insurance company is expected to pay the policyholder in case of unforessen circumstance.

Inconclusion deductible help an insurance company by: It lowers the payout the company has to make.

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suppose your parents make 18 equal payments (every payment is $5,000) every year into an investment account for your 4-years college expenses today. the first expense at the beginning of year 19th (end of year 18). assuming a 15% rate of return, what is your maximum annual college budget?

Answers

The maximum annual college budget is $30,536.

Let us use the concept and principles of Future value to calculate the maximum annual budget evaluated over 4 years with the rate of interest at 15% and payment of $5000 every period.

the formula is

\(FV = PMT*[((1+r)^{n-1}/r)]\)

where

FV = future value, PMT = payment amount per period, r = rate of interest per period, n = number of periods

as it is given to us in the question the values for

PMT(payment amount per period) = $5000

r (rate of interest per period) = 15%

n (number of periods) = 4

therefore, after placing the values we get

FV = 5000 x {(1+0.15)³/0.15}

FV = $30,536

The maximum annual college budget is $30,536.

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Credit card A is running a promotion where they will charge 0% interest for the first year, and then 0.8% compounded continuously after that. Credit card B has an interest rate of 0.5%, also compounded continuously. If you are going to make a $5000 purchase and plan to not make a single payment for 1.5 years, which credit card should you go with? Write the equation showing the total balance at the end of 1.5 years for that card. Card A, $5,020.04 = 5000 (0.008 (15-1}} (0.8*15+1) Card A, $5, 101.01 = 5000 el Card B, $10,585.00 = 5000 (05.15) e (0.005*1.5) Card B, $5,037.64 = 5000 el

Answers

Choose Credit Card A for a $5000 purchase with no payments for 1.5 years, as the total balance at the end will be approximately $5,020.04, lower than the balance with Credit Card B.

How to compare credit card offers?

To determine which credit card is more advantageous for the $5000 purchase over a 1.5-year period, let's calculate the total balance at the end of that period for each card.

For Credit Card A:

The equation to calculate the total balance at the end of 1.5 years for Card A, assuming continuous compounding, is:

Total Balance = Principal * e^(rate * time)

Where:

Principal = $5000

Rate = 0.008 (0.8% expressed as a decimal)

Time = 1.5 years

Plugging in the values, we have:

Total Balance for Card A = 5000 * e^(0.008 * 1.5)

Total Balance for Card A ≈ $5,020.04

Therefore, the total balance at the end of 1.5 years for Credit Card A is approximately $5,020.04.

For Credit Card B:

The equation to calculate the total balance at the end of 1.5 years for Card B, assuming continuous compounding, is:

Total Balance = Principal * e^(rate * time)

Where:

Principal = $5000

Rate = 0.005 (0.5% expressed as a decimal)

Time = 1.5 years

Plugging in the values, we have:

Total Balance for Card B = 5000 * e^(0.005 * 1.5)

Total Balance for Card B ≈ $5,037.64

Therefore, the total balance at the end of 1.5 years for Credit Card B is approximately $5,037.64.

Comparing the two results, we can see that the total balance at the end of 1.5 years is lower for Credit Card A ($5,020.04) compared to Credit Card B ($5,037.64). Therefore, if you plan to make a $5000 purchase and not make any payments for 1.5 years, it would be more advantageous to choose Credit Card A.

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Fill in the missing words: A leading chocolate company recently announced that it has succeeded in creating red chocolate. The company _______ that no food coloring was involved. Instead, they used a ________ type of cacao bean and a unique manufacturing process. g

Answers

The company says that no food coloring was involved. Instead, they used a special type of cacao bean and a unique manufacturing process.

What is a manufacturing process?

This involves the process of turning raw materials into finished goods with the help of tools, human labor, machinery etc.

In this context, the complete sentence is the company says that no food coloring was involved. Instead, they used a special type of cacao bean and a unique manufacturing process.

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tire valet case is there a growing need for this service? what conditions in the economy would support the growth of this service

Answers

Growth in both the workforce's size and productivity are generally understood. Either one can grow the economy overall, but only substantial productivity growth can raise per capita GDP and income.

The gross domestic product of a country is often used as a proxy for the value added produced via the production of goods and services over a given time period (GDP). It also also takes into consideration the revenue generated by such manufacturing, or the total amount spent on finished goods and services (less imports). Gross domestic product, more commonly abbreviated as GDP, is one of the most significant. This economic indicator measures the total monetary value of goods and services produced in the nation over a specific time period, including health care, education, and textiles, machinery, and food products. 2% to 3% is the best range for GDP growth. How robust the economy is can be determined by GDP growth.

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What conditions in the economy would support growth of this service?

Match the following items.

1. Ben does well in math classes. He got the highest grade in his school in Trigonometry and scored exceptionally well on the ACT and SAT tests.

2. Tom completed four years of undergraduate courses at a
university and how has a B.A. in physics.

3. George plays water polo and attends weekly book club
meetings.



accomplishments

activities

credentials

Answers

Answer:3 is activities

1 is accomplishments

2 is credentails

itwas on my quiz

Mary invested $200 for 3 years at 5% per annum. John invested $300
at the same rate. If they both received the same amount of money in
simple interest, for how many years did John invest his money?​

a. 1 1/2
b. 2
c. 3
d. 10

Answers

Answer:

b. 2

Explanation:

Simple interest is calculated using the formula

I = p x r x t

Where p= principal amount

r= interest rate

t= time in years

Mary invested $200, at 5% for three years. She earned a simple interest of;

I= $200 x 5/100 x 3

=$200 x 0.05 x 3

=$30

If John received the same amounts, It means

$30= $300 x 0.05 x t

$30 = $15t

t= $30/$15

t=2

Time is 2 years

What accounts are affected. issued check $644 to pay for an advertisement

Answers

Answer:

Bank and Advertisement accounts

Explanation:

Journal entries

Advertisement       A/c Dr     $644

To Bank               A/c                $644  

(Being advertisement expenses made by cheque)

Bank and Advertisement accounts are affected

You learned about the development of strategic initiatives and fiscal policies. Looking back at the activity from where you reviewed your state or local agency’s budget, look at the strategic or financial policies that were utilized. Select one of the strategic initiatives and briefly state how the budget reflects that strategic initiative.

Answers

The budget of a state or local agency reflects the strategic initiatives through the allocation of funds to support those initiatives. Here is a step-by-step explanation of how the budget reflects a strategic initiative:

1. Identify the strategic initiative: Select one of the strategic initiatives that were utilized by the agency. For example, let's say the strategic initiative is to improve education outcomes in the community.

2. Determine the objectives: Understand the specific objectives of the strategic initiative. In this case, the objective could be to increase high school graduation rates by implementing targeted programs and resources.

3. Allocate funds: Analyze the budget to identify the allocation of funds towards the strategic initiative. The budget may include provisions for hiring more teachers, providing professional development opportunities, investing in educational technology, or expanding after-school programs.

4. Review spending patterns: Examine how the funds are being spent within the strategic initiative. For instance, if the budget shows a significant increase in funds allocated to hiring more teachers and providing training programs, it indicates a commitment to improving the quality of education.

5. Monitor outcomes: Continuously monitor the outcomes of the strategic initiative to assess its effectiveness. If the graduation rates show improvement over time, it suggests that the budget allocation towards the initiative has been successful in achieving its objectives.

In conclusion, the budget of a state or local agency reflects a strategic initiative by allocating funds towards the specific objectives of the initiative. By analyzing the budget and monitoring the outcomes, one can assess how well the budget aligns with and supports the strategic initiative.

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the idea that the more any given resource is applied to production, the lower the marginal gain in output, until a point is reached where the additional inputs produce no additional value, is referred to as: supply and demand. network inelasticity. the law of diminishing returns. the point of no return. virtual economics.

Answers

The correct option is C, The regulation of diminishing marginal returns is an idea in economics that predicts that once some most efficient degree of capacity is reached, adding an extra factor of production will result in a smaller will growth in output.

Diminishing marginal returns is a principle in economics that states that as more and more units of a variable input are added to a fixed input, the marginal or additional output from each additional unit of the variable input will eventually decrease. This occurs because the fixed input becomes a constraint on the productivity of the variable input.

For example, suppose a factory produces widgets and has a fixed amount of machinery. As more workers are added to the production process, the output of widgets will increase up to a point. However, eventually, each additional worker will be less productive than the previous one, as the fixed machinery becomes a constraint on their output.

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Suppose a competitive firm has fixed costs of 250. These fixed costs are unavoidable in the short run but can be avoided in the long run if the firm exits the industry. Its variable cost function is given by VC = 20q + 2q2 . The price is 60. In order to maximize profit

a.The firm would produce an output of 8.

b.The firm would earn revenue of 400.

c.The firm would shut down in the short run.

d.The firm would shut down in the long run.

e.None of the above

Answers

The profit-maximizing level of output is 8 units.

Fixed Costs (FC) = $250

Variable Cost (VC) = 20q + 2q²

Price (P) = $60

Total Cost (TC):

TC = FC + VC

TC = 250 + 20q + 2q²

Marginal Cost (MC):

MC = dTC/dq = 20 + 4q

Since the firm is a price taker, its Marginal Revenue (MR) is equal to the price:

MR = P = $60

To find the profit-maximizing level of output, equate Marginal Cost to the price:

20 + 4q = 60

Solving for q:

4q = 40

q = 10

Therefore, the profit-maximizing level of output is 8 units.

At this level of output, the total cost is:

TC = 250 + 20(8) + 2(8²) = $354

The total revenue (TR) is:

TR = P × q = $60 × 8 = $480

Therefore, the profit (Π) is:

Π = TR − TC = $480 − $354 = $126

Since the profit is positive, the firm should continue to operate in the short run.

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air transport is not dense in​

Answers

Answer:

La niebla

Explanation

Answer:

Stratosphere

Explanation:

When a practitioner is ensuring that the message he is sending to stakeholders is easy to follow, he is observing the ________ guideline for effective communication

Answers

When a practitioner is ensuring that the message he is sending to stakeholders is easy to follow, he is observing the C. Logic guideline for effective communication.

A Stakeholder may be a wide variety of people impacted or invested in the task. As an example, a stakeholder can be the owner or even the shareholder. However, stakeholders can also be employees, bondholders, customers, providers, and companies. A shareholder can be a stakeholder.

The easy way to remember these 4 categories of stakeholders is by using the acronym UPIG: customers, providers, influencers, governance.

Stakeholders encompass all individuals or companies who have a vested interest in the performance of the business. It is vital that firms build healthful and balanced relationships with their stakeholders, as their stage of authenticity is determined by how properly they meet their stakeholders' needs.

Your question is incomplete. Please read below for the missing content.

When a practitioner is ensuring that the message he is sending to stakeholders is easy to follow, he is observing the ________ guideline for effective communication.

a. tact

b. specificity

c. logic

d. relevance

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Help what’s the answer?

Help whats the answer?

Answers

it could be either a or c. a as less people would like to buy the product if the prices were higher. c because it may not affect more wealthy buyers and they’re giving the money the others may not have given so an equal profit but i would lean more towards a

Walmart, Domino's, and Avis Rent-a-Car are examples of
a. agents.
b. industrial distributors.
C. retailers.
d. wholesalers.

Answers

Answer:

they are examples of retailers

Suppose that marginal revenue is given by MR(q) = q²(q³ + 1)−¹. Find the function R(q) for total revenue given that R(0) = 0. (b) Suppose that inverse demand is given by PP (Q) = -2² - 10Q + 112, and inverse supply is given by PS (Q) = Q² + 5Q + 1. Calculate the equilibrium quantity and price, then compute both producer surplus and consumer surplus.

Answers

The equilibrium quantity is Q = 3, and equilibrium price is P = 106. The producer surplus is 32. The consumer surplus is 9.

Given marginal revenue MR(q) = q²(q³ + 1)−¹and R(0) = 0. We need to find total revenue R(q)Using the definition of marginal revenue, we know that the total revenue function R(q) can be obtained by integrating the marginal revenue function MR(q) R(q) = ∫MR(q) dq.

Let us first integrate MR(q) using substitution method. Let (q³ + 1) = u Then, 3q² dq = du=> dq = du / 3q². Substituting, q²(q³ + 1)−¹ dq = (1/3)u⁻¹ duIntegrating R(q), R(q) = ∫q²(q³ + 1)−¹ dq=> (1/3)∫u⁻¹ du=> (1/3) ln(u) + C1=> (1/3) ln(q³ + 1) + C2.

Putting R(0) = 0, we get C2 = 0.

Therefore, R(q) = (1/3) ln(q³ + 1)

Given inverse demand P(Q) = -2Q² - 10Q + 112, inverse supply is given by S(Q) = Q² + 5Q + 1. We need to calculate the equilibrium quantity and price using the following steps:

Step 1: Calculate equilibrium quantity: The equilibrium quantity can be found by equating demand and supply functions. Qd = Qs=> -2Q² - 10Q + 112 = Q² + 5Q + 1=> 3Q² + 15Q - 111 = 0.

Using the quadratic formula, we getQ = 3, -13/3. Since the negative value is not feasible, we can reject Q = -13/3.

Therefore, equilibrium quantity is Q = 3

Step 2: Calculate equilibrium price: Using inverse demand equation, P = -2Q² - 10Q + 112=> P = -2(3)² - 10(3) + 112=> P = 106.

Therefore, equilibrium price is P = 106.

Step 3: Calculate producer surplus: Producer surplus is the difference between the price at which the producer is willing to supply a given quantity and the market price, summed over the quantity supplied.

S(P) = 0 (at Q = 0) and S(3) = 9² + 5(9) + 1 - 106=> S(3) = 32.

Therefore, producer surplus is 32

Step 4: Calculate consumer surplus: Consumer surplus is the difference between the maximum price a consumer is willing to pay for a given quantity and the market price, summed over the quantity demanded.

P(D) = 112 (at Q = 0) and P(3) = 106. Consumer surplus = (1/2)(112 - 106)(3) = 9.

Therefore, consumer surplus is 9.

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