The demand and supply of corn are as follows:
Qd = 2,200 - 125P
Qs = 700 + 175P,
where quantities are in millions of bushels and prices are in dollars per bushel.
(a) Calculate the equilibrium price and the equilibrium quantity.
(b) Calculate the consumer surplus at the equilibrium price and quantity.
(c) Calculate the price elasticity of demand (at the equilibrium values).
(d) Calculate the price elasticity of supply (at the equilibrium values).
(e) Calculate the arc elasticity of demand if the price of corn increases by 20% above the current equilibrium price.
(f) Calculate the arc elasticity of supply if the price of corn increases by 20% above the current equilibrium price.
(g) Assume that the government has introduced a price floor of $7 per bushel (i.e., the market price cannot go below $7 per bushel).
(i) What quantity of corn will consumers be willing to buy?
(ii) What quantity of corn will consumers be able to buy?
(iii) What quantity of corn will producers be willing to sell?
(iv) What quantity of corn will producers be able to sell?
(v) Will the market clear (i.e., will the quantity demanded equal the quantity supplied)? If not, will there be excess demand (shortage) or excess supply (surplus) of corn? How many bushels?

Answers

Answer 1

(a) We must set Qd equal to Qs in order to determine the equilibrium price and quantity:

2,200 - 125P = 700 + 175P

If we solve for P, we obtain:

300P = 1,500

$5 per bushel is P.

By adding P = $5 to either Qd or Qs, we may determine the equilibrium quantity as follows:

Q = 2,200 - 125(5) = 1,575 million bushels

The discrepancy between the highest price consumers are prepared to pay and the market price is known as consumer surplus (b). The quantity demanded at the equilibrium price of $5 per bushel is 1,575 million bushels, hence the highest price consumers would be prepared to pay is:

2,200 - 125(5) = $1,875 million

The consumer surplus is as a result:

$1,847.5 million is equal to (1/2) * (1,875 - 5) * 1,575.

(c) The following formula can be used to determine the price elasticity of demand at the equilibrium:

E is calculated as (% change in amount demanded) / (% change in price).

Qd = 1,575 million bushels and P = $5 per bushel are the values at equilibrium. The quantity requested will vary if the price increases by 1% in the following ways:

(125 / 2,200) * 100 = 5.68%

As a result, the equilibrium price elasticity of demand is:

E = 5.68 / 1 = 5.68

(d) The same formula can be used to get the price elasticity of supply at equilibrium.

E is equal to (% change in provided quantity) / (% change in price).

Qs = 1,575 million bushels and P = $5 per bushel are the values at equilibrium. The amount delivered will alter if the price changes by 1% in the following ways:

(175 / 2,200) * 100 = 7.95%

As a result, the equilibrium price elasticity of supply is:

E = 7.95 / 1 = 7.95

(e) We employ the following formula to get the arc elasticity of demand:

E = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

The new price is: If the price rises by 20% above the $5 equilibrium price, the new price is:

Each bushel, $5 + 0.20 ($5) equals $6.

The newly desired quantity is:

1,450 million bushels - 2,200 - 125(6)

Applying the old and new equilibrium values, we get at:

E = ((1,450 - 1,575) / ((1,450 + 1,575) / 2)) / ((6 - 5) / ((6 + 5) / 2)) = -1.71

Demand is elastic, as indicated by the negative sign.

(f) We apply the same formula to determine the arc elasticity of supply:

E = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

The new price is: If the price rises by 20% above the $5 equilibrium price, the new price is:

Each bushel, $5 + 0.20 ($5) equals $6.

The updated quantity given is:

700 plus 175 (6) equals 1,550 million bushels.

Applying the old and new equilibrium values, we get at:

E = ((1,550 - 1,575) / ((1,550 + 1,575) / 2)) / ((6 - 5) / ((6 + 5) / 2)) = -0.19

The negative sign denotes an inelastic supply.

(g) The new market circumstances when the government sets a price floor of $7 per bushel are:

Qd = 2,200 - 125P

Max Qs = (700 + 175P, 875)

where the maximum function assures that suppliers will only produce and sell at the $7 per bushel price floor level, making 875 million bushels the minimum amount that must be delivered.

I Because their demand function hasn't altered, consumers will be willing to make the same number of purchases as previously. As a result, they are prepared to purchase 1,575 million bushels.

(ii) At the price floor level of $7 per bushel, consumers will only be able to purchase the quantity offered, which is the minimum of the demand and supply functions:

1,525 million bushels are equal to Qd = 2,200 - 125(7).

875 million bushels equals Q.

Hence, only 875 million bushels will be available for purchase by consumers.

Given that their supply function hasn't changed, producers will be willing to sell the same volume as previously. As a result, they are prepared to sell 1,575 million bushels.

(iv) At the price floor level of $7 per bushel, producers will only be able to sell the quantity demanded, which is the minimum of the demand and supply functions:

Qd equals 1,525 million bushels.

Qs equals 700 plus 175 plus 7 to 1,225 million bushels.

Hence, the total number of bushels that farmers can sell is 1,225 million.

(v) There will be an excess of demand (a shortage) of the following since the quantity demanded (1,525 million bushels) exceeds the supply curve (875 million bushels):

875 minus 1,525 equals 650 million bushels.

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Related Questions

Recall the Krautmann and Berri (2007) model for revenues per game: TR= RT(Q) + RC(Q) + RRS + RB.
Where: RT are ticket revenues, RC are concession revenues, RRS are revenues from league-wide revenue sharing and RB are broadcasting revenues. Q represents ticket sales per game.
Suppose we have the following for demand for tickets (P in dollars): Q = 6000 – 25P
Suppose total costs (in dollars) are: TC = 10000 + 0.5Q
Suppose that for each ticket sold, net concession revenues rise by a constant 10 dollars per ticket. That is,
RC (Q) = 10Q
Let RRS and RB be fixed and equal to 800 and 1000, respectively.
a. Determine the optimal ticket price (PT), quantity (QT) and team profits (πT) if the owner ignores the functional relationship between revenues from concessions and quantity of tickets sold (i.e. ignores the fact that RC is a function of Q). [Note: you will find fractional values for Q. Go ahead and use those fractional values.]
b. Suppose an economist is hired and informs the owner that there is indeed a linkage between concession revenues and the quantity of tickets sold. Determine the optimal ticket price (P*), quantity (Q*) and the resulting maximal profits (π*) given this new information.

Answers

The optimal ticket price (P*) is $104, the optimal quantity (Q*) is 4800, and the resulting maximal profits (π*) is $280,000 (TR - TC).

a. To determine the optimal ticket price, quantity and team profits when ignoring the functional relationship between revenues from concessions and the quantity of tickets sold, we must set the total revenue equal to the total costs.



TR = RT (Q) + RC (Q) + RRS + RB



TR = 6000 - 25P + 10Q + 800 + 1000



TC = 10000 + 0.5Q



6000 - 25P + 10Q + 800 + 1000 = 10000 + 0.5Q



6000 - 25P + 10.5Q + 1800 = 10000



-25P + 10.5Q = 4000



-25P = 4000 - 10.5Q



P = (4000 - 10.5Q) / -25



Q = 6000 - 25P



Substituting P into Q, we get:



Q = 6000 - 25((4000 - 10.5Q)/-25)



Q = 6000 + 100Q - 4000



Q = 2000



P = (4000 - 10.5(2000))/-25



P = 120



Therefore, the optimal ticket price (PT) is $120, the optimal quantity (QT) is 2000, and the resulting team profits (πT) is $200,000 (TR - TC).



b. To determine the optimal ticket price, quantity and the resulting maximal profits given this new information, we must take into account the functional relationship between revenues from concessions and the quantity of tickets sold.



TR = RT (Q) + RC (Q) + RRS + RB



TR = 6000 - 25P + 10Q + 800 + 1000



TC = 10000 + 0.5Q



Setting total revenue equal to total costs, we get:



6000 - 25P + 10Q + 800 + 1000 = 10000 + 0.5Q



-25P + 10.5Q = 4000



Substituting Q into RC (Q) = 10Q, we get:



RC (Q) = 10 (6000 - 25P)



TR = 6000 - 25P + 10 (6000 - 25P) + 800 + 1000



TR = 15000 - 25P



TC = 10000 + 0.5Q



Setting total revenue equal to total costs, we get:



15000 - 25P = 10000 + 0.5Q



25P = 5000 + 0.5Q



P = (5000 + 0.5Q) / 25



Q = 6000 - 25P



Substituting P into Q, we get:



Q = 6000 - 25((5000 + 0.5Q) / 25)



Q = 4800



P = (5000 + 0.5(4800)) / 25



P = 104



Therefore, the optimal ticket price (P*) is $104, the optimal quantity (Q*) is 4800, and the resulting maximal profits (π*) is $280,000 (TR - TC).

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People who fight against the evils in society are known as a social

Answers

The word that completes the sentence is "activist."

Activists are people who work to bring about social or political change by taking action against injustices or societal ills.

They may work individually or as part of a larger organization, and may use a variety of methods to achieve their goals, including public demonstrations, boycotts, lobbying, and media campaigns.

Activists are often driven by a deep sense of passion and commitment to a particular cause, whether it be environmental protection, human rights, social justice, or any other issue that they believe requires attention and action.

Activism has played a critical role in driving social and political change throughout history, from the civil rights movement to the fight for gender equality and beyond. Through their tireless efforts, activists have helped to shine a light on issues that might otherwise have gone unnoticed, and have worked to create a more just and equitable society for all.

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The 20-year-old university student who isn't working and is not
actively seeking a job would be considered part of the labor force
because they are over 16.
true or false

Answers

The answer is False. The 20-year-old university student who isn't working and is not actively seeking a job would be considered part of the labor force because they are over 16 is a false statement.

What does work look like in practice?

Labor is the effort that individuals put in the making of commodities and services. Both the engineer who built the bus that delivers you to school and the waiter who gives your lunch at a near restaurant are examples of labor resources.

The many types of labor in economics?

Unskilled labor is work that doesn't call for any specialized knowledge or expertise. Not as much as expert labor, semi-skilled work still requires some knowledge and training. Work that need a high degree of education and expertise is referred to as skilled labor.

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1. If in some country personal consumption expenditures in a specific year are $70 billion, purchases of stocks and bonds are $35 billion, net exports are−$40 billion, government purchases are $60 billion, sales of secondhand items are $8 billion, and gross investment is $25 billion, what is the country's GDP for the year? What is NDP for year? 3 pts 2. Suppose that in 1984 the total output in a single-good economy was 9,000 buckets of chicken. Also suppose that in 1984 each bucket of chicken was priced at \$18. Finally, assume that in 2005 the price per bucket of chicken was $26 and that 22,000 buckets were produced. Determine the GDP price index for 1984, using 2005 as the base year. By what percentage did the price level, as measured by this index, rise between 1984 and 2005? What were the amounts of real GDP in 1984 and 2005? 3pts

Answers

Since no information on the depreciation is provided, we cannot calculate the NDP.

The real GDP in 1984 was $572,394 and the real GDP in 2005 was $5,720.

How to Calculate GDP?

The country's GDP can be calculated by adding up all the components of GDP, which include personal consumption expenditures, purchases of stocks and bonds, net exports, government purchases, sales of secondhand items, and gross investment:

GDP = C + I + G + (X-M)

where C is personal consumption expenditures, I is gross investment, G is government purchases, X is exports, and M is imports.

Therefore, GDP = $70 billion + $25 billion + $60 billion + (-$40 billion) = $115 billion

NDP can be calculated by subtracting the depreciation of the country's capital goods from the GDP:

NDP = GDP - depreciation

Since we don't have information on the depreciation, we cannot calculate the NDP.

The GDP price index measures the change in the prices of goods and services produced in an economy. It is calculated by dividing the nominal GDP of a given year by the real GDP of the base year, and multiplying the result by 100. In this case, we are using 2005 as the base year, so the GDP price index for 1984 is:

GDP price index = (Nominal GDP in 1984 / Real GDP in 2005) x 100

Nominal GDP in 1984 = 9,000 x $18 = $162,000

Real GDP in 2005 = 22,000 x $26 = $572,000

Therefore, GDP price index = ($162,000 / $572,000) x 100 = 28.32

To calculate the percentage increase in the price level between 1984 and 2005, we can use the formula:

% change = (new value - old value) / old value x 100

% change = (28.32 - 100) / 100 x 100 = -71.68%

This means that the price level, as measured by the GDP price index, decreased by 71.68% between 1984 and 2005.

To calculate the real GDP in 1984 and 2005, we need to use the GDP price index to adjust the nominal GDP for changes in the price level. The formula is:

Real GDP = Nominal GDP / GDP price index x 100

Real GDP in 1984 = $162,000 / 28.32 x 100 = $572,394

Real GDP in 2005 = $22,000 x $26 / 100 = $5,720

Therefore, the real GDP in 1984 was $572,394 and the real GDP in 2005 was $5,720.

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Which of the following best describes the Earth's atmosphere?

An empty space
A big blanket absorbing the Sun's heat
A thin towel that does very little to protect the Earth
A large cloud that generates the Earth's electromagnetic field
None of the above

Answers

The sentence that best describes the Earth's atmosphere is option E. None of the above

What is the Earth's atmosphere?

The Earth's atmosphere is a thin layer of gases that surround the planet, consisting mainly of nitrogen (78%) and oxygen (21%). It also contains trace amounts of other gases such as carbon dioxide, water vapor, and argon.

The atmosphere plays a crucial role in regulating the Earth's temperature, protecting it from harmful radiation from the Sun, and providing the air we breathe.

The atmosphere is divided into five layers: the troposphere, stratosphere, mesosphere, thermosphere, and exosphere. Each layer has different characteristics and functions that contribute to the overall functioning of the atmosphere.

Therefore, the correct answer is as given above. It could then be concluded that the correct answer is option E. None of the above.

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Progress CO. a company that sells novelty machines for arcades and beachside boardwalks, has estimated quasi supply and demand curves for their product line:
demand P = 100 – 2Q
supply P = 30 + Q
Based on these estimates, calculate the equilibrium price and quantity of novelty machines for Progress Co.
Demonstrate the graph with the supply and demand curves.
Be sure to label the following:
i) the demand curve and where it starts on the vertical and horizontal axis
ii) the supply curve and where it starts on the vertical axis
iii) P* and Q*
The government has just announced a price control for novelty machines at $60.
iv) indicate visually how this will affect your graph
v) Calculate the amount of the excess demand (or excess supply, whichever applies) under this scenario.

Answers

The government has just announced a price control for novelty machines at $60 then the excess demand is -3.33.

Excess demand, also known as a shortage, occurs when the quantity of a good or service that consumers want to buy is greater than the quantity that is available for sale at the prevailing price. In other words, when the demand for a product exceeds its supply, there is excess demand.

This can result in higher prices, as suppliers may raise prices in response to the increased demand, or rationing of the product, where the seller may allocate the available quantities among buyers. Excess demand can be a temporary or long-term phenomenon and can be influenced by various factors such as changes in consumer preferences, shifts in the economy, or disruptions in supply chains.

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Why is investment spending so volatile? Does the volatility of
investment mean that policy changes by the government have no
impact on investment?

Answers

Investment spending is volatile because it is closely tied to economic conditions such as changes in interest rates, business confidence, and expectations of future growth.

These factors can fluctuate rapidly, leading to changes in investment decisions made by businesses. Policy changes by the government can have an impact on investment, but the extent of the impact may be limited by the volatility of investment. For example, a decrease in interest rates may encourage businesses to increase investment spending, but if business confidence is low or there is uncertainty about the future economic outlook, this may not translate into increased investment.

In general, government policies that create a stable and predictable economic environment are more likely to encourage long-term investment. Additionally, policies that target specific industries or sectors may also be effective in stimulating investment in those areas.

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Welfare State Competition:
True or False and give explanations.
a) The selection principle holds if the government only insures risks that the private market is not able to ensure.
b) If production factors can move across borders without costs, policy competition will erode the tax base and lead to less generous welfare states.

Answers

a) The following statement "The selection principle holds if the government only insures risks that the private market is not able to ensure" is true.

This principle is applicable in the insurance sector, where the private insurance industry is focused on making a profit.

The private insurance industry is required to cover only the most basic risks since it seeks to maximize profits. Therefore, the government may have to establish public insurance systems to ensure that higher-risk individuals are insured. It creates a selection principle in which the government only provides insurance for the high-risk population that private insurance firms are unable to insure.



b) The given statement "If production factors can move across borders without costs, policy competition will erode the tax base and lead to less generous welfare states" is true.

 

Welfare states are incompatible with open borders, free trade, and unrestricted competition between jurisdictions since they can lead to a "race to the bottom" where governments cut taxes and social welfare programs to attract businesses and investments.

The competition may lead to the "race to the bottom" where governments cut taxes and social welfare programs to attract businesses and investments. Therefore, welfare states are incompatible with open borders, free trade, and unrestricted competition between jurisdictions.

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What was the role of American International group and LehmanBrothers inc. in the financial crisis of 2008?suggest how they should have protected themselves from the risksthat befell them.

Answers

The role of American International Group (AIG) and Lehman Brothers in the financial crisis of 2008 was to be two of the largest firms to suffer dramatic losses in the crisis.

AIG was an insurance firm that specialized in selling credit default swaps, and Lehman Brothers was an investment bank. Both firms became overly exposed to risks in the form of credit default swaps and mortgage-backed securities.

To protect themselves from the risks that befell them, AIG and Lehman Brothers should have exercised greater caution and responsibility in their investment decisions. They should have taken measures to diversify their portfolios, limit their exposure to high-risk investments, and create more stringent risk management policies.

Additionally, they should have engaged in greater transparency to ensure that their investors and stakeholders were informed of their risk profile.

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answer 7 a. i, ii and c.

Answers

Based on the population Pyramid;

1. The birthrate in country Y is decreasing.

2. Two reasons for the decline in birthrate is;

Economic factors: When a country becomes more developed, there is often an increase in education and employment opportunities for women. As a result, women may delay starting a family or choose to have fewer children, which can lead to a decline in birth rate.Changes in social norms: Over time, social attitudes and values can change, leading to changes in family planning behaviors. For example, if it becomes more socially acceptable to have smaller families or if access to contraception increases, this could lead to a decrease in birth rate.

3. Two statements that can be made about  the population structure of the country Y are;

The population of country Y has a relatively low percentage of young individuals (under the age of 15), with less than 15% of the population falling within this age group.Country Y has an "inverted" or "reverse" pyramid structure, also known as a "decreasing" or "constrictive" pyramid. This type of pyramid typically indicates a declining population growth rate, with fewer births and a higher percentage of older individuals.

4. Based on the population structure diagram of country Y, planners will need to plan for a decrease in the need for childcare provision. This is because the diagram shows a relatively low percentage of young individuals (under the age of 15), with less than 15% of the population falling within this age group.

Why should  country Y plan for a decrease in the need for childcare provision Based on the population structure?

Based on the population structure diagram of country Y, with lower percentage of young people below the age of 15, a decrease in their numbers would result in a lower demand for services like childcare and education services. Therefore, planners will need to take into account the changing demographics of the population and adjust their planning accordingly to ensure that resources are allocated in the most efficient and effective manner.

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During a lesson you're observing, ms. Mcfail asks deaver a question for which the student cannot immediately provide an answer. Ms. Mcfail could reasonably try all of the following strategies, but which one is least likely to be helpful in terms of the student's learning?

Answers

The least likely strategy will be allowing the student to pass to avoid the discomfort of the students.

When addressing the problems of any student in his studies the teachers should not use strategies which can be beneficial for the students for short term and they should rather use the techniques that are beneficial for longer terms. In this case when Ms. Mcfail asks Deaver a question and he fails to answer the question then instead of letting the student pass to avoid his discomfort Ms. Mcfail should use strategies that would help the student to learn the answer and make him remember the answer for longer terms. These short term strategies may make the student helpless in future.

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1. Debate and distinguish "Transactional from Value" selling.
2. Point out the main characteristics for both types of selling
3. Discuss the skills a sales person should have to succeed in transactional selling and value selling

Answers

Transactional selling is a type of selling that focuses on short-term sales goals and focuses on the immediate sale of a product or service.

What is sale?

Sale is the act of exchanging goods or services for money. It is a transaction between a buyer and seller, where the seller agrees to give the buyer goods or services in exchange for a certain amount of money.

It is often associated with the exchange of goods or services for money, and it is typically done on an individual sale basis. This type of selling is often used to make a quick sale and move on to the next customer.
The main characteristics of transactional selling are that it is focused on the sale of an individual product or service, it is often done on an individual sale basis, and its goal is to make a quick sale and move on to the next customer.
Value selling, on the other hand, is a type of selling that focuses on long-term relationships and emphasizes the value of the product or service being sold. This type of selling is focused on building relationships with customers and providing a higher value for their purchase. It is often used to build customer loyalty and make sure that customers keep coming back for more.
The main characteristics of value selling are that it is focused on building relationships with customers and providing a higher value for their purchase, it is often used to build customer loyalty, and it emphasizes the long-term value of the product or service being sold.
A sales person should have the following skills to succeed in transactional selling: the ability to make quick sales, persuasive skills, and knowledge of the product or service being sold. To succeed in value selling, a sales person should have the following skills: the ability to build relationships with customers, persuasive skills, and the ability to explain the value of the product or service being sold.

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Complete the chase production plan, using the following information. The only costs you need to consider here are layoff, hiring, and inventory costs. If you complete the plan correctly, your hiring, layoff, and inventory costs should match those given here. Click the icon to view the costs table. Click the icon to view the forecasted sales. Fill in the production plan table below (enter your responses as whole numbers). to meet Month Actual Forecasted Actual Ending Lavoffs Sales in worker hours sales sales average = 252 Hiring Layoris Hiring production workers inventory 2,000 0 More Info i More Info Month Layoff 302 $302,000 Hiring 302 $755,000 S1,297,000 Inventory 24,000 S240.000 March April May June July August September October November December January February Forecasted sales 1,880 1,820 1,420 1,260 2.140 2,690 3,110 2,830 4.000 3,870 2.930 2,280 Totals Costs Cost of plan Planning values Starting inventory Starting and ending workforce Hours worked per month per worker Hours per unit Hiring cost per worker Layoff cost per worker Monthly per-unit holding cost Entel 2.000 214 400 40 $2.500 $1,000 S10 Clear All

Answers

The total cost of the plan will be $2,302,000 which includes the cost of hiring and layoff ($755,000 + $302,000), as well as the inventory cost ($240,000).

The production plan for the given table should be as follows:


March - Layoff 302 workers, hire 302 workers, production of 1840 units, ending inventory of 24,000 units.


April - Layoff 302 workers, hire 302 workers, production of 1820 units, ending inventory of 24,000 units.


May - Layoff 302 workers, hire 302 workers, production of 1420 units, ending inventory of 24,000 units.


June - Layoff 302 workers, hire 302 workers, production of 1260 units, ending inventory of 24,000 units.


July - Layoff 302 workers, hire 302 workers, production of 2140 units, ending inventory of 24,000 units.


August - Layoff 302 workers, hire 302 workers, production of 2690 units, ending inventory of 24,000 units.


September - Layoff 302 workers, hire 302 workers, production of 3110 units, ending inventory of 24,000 units.


October - Layoff 302 workers, hire 302 workers, production of 2830 units, ending inventory of 24,000 units.


November - Layoff 302 workers, hire 302 workers, production of 4000 units, ending inventory of 24,000 units.


December - Layoff 302 workers, hire 302 workers, production of 3870 units, ending inventory of 24,000 units.


January - Layoff 302 workers, hire 302 workers, production of 2930 units, ending inventory of 24,000 units.


February - Layoff 302 workers, hire 302 workers, production of 2280 units, ending inventory of 24,000 units.

The production plan is designed to meet the forecasted sales and end with the same amount of inventory as the starting inventory. The number of workers should remain the same throughout the production plan.

The hours worked per month per worker should be 400 hours, and the cost of each unit should be $10.

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mr. greubar is planning a unit on fractions for his fifth-grade class. he designs and implements a pretest before he begins teaching the unit. what type of assessment is conducted before an instructional period begins? group of answer choices

Answers

Mr. Greubar is conducting a formative assessment before he begins teaching his fifth-grade class on fractions. A formative assessment is an assessment given at the beginning of an instructional period that assesses a student's current knowledge in the subject area.



In Mr. Greubar's case, he is conducting a pretest before teaching the unit on fractions. A pretest is a formative assessment that tests a student's knowledge of a subject area before instruction has begun. Pretests can provide valuable information about a student's existing knowledge and what instruction might be necessary for them to become proficient in the subject area. Pretests can also be used to set individualized goals for each student, allowing for more effective instruction and more accurate assessment of learning.



By conducting a formative assessment before teaching the unit on fractions, Mr. Greubar is ensuring that his instruction is tailored to the needs of each student and is helping to create a positive learning environment for his fifth-grade class.

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1. (5 points) Suppose U = xα yβ, where α and β are scalars. Calculate the marginal rate of substitution by applying the concept of total derivative to the utility function U. (Recall that if z = f (x,y), the total derivative of z is dz = zx dx + zy dy)

Answers

By applying the concept of total derivative to the utility function U, the marginal rate of substitution will be (α/β)(x/y).

How to determine marginal rate of substitution

Suppose U = xαyβ, where α and β are scalars.

To calculate the marginal rate of substitution by applying the concept of total derivative to the utility function U, follow the steps below;

1: The partial derivative of U with respect to x is αxα−1yβ.

Therefore, the total derivative of U with respect to x is:

dU/dx = αxα−1yβdx + αxαyβ−1dy.

2: The partial derivative of U with respect to y is βxαyβ−1.

Therefore, the total derivative of U with respect to y is:

dU/dy = βxαyβ−1dx + αxαyβ−1dy.

3: The marginal rate of substitution is the absolute value of the ratio of the total derivative of U with respect to x and the total derivative of U with respect to y.

Therefore, we get:

MRS = |dU/dx|/|dU/dy| 

= αxα−1yβ/βxαyβ−1                                             

= (α/β)(x/y)

Now, we have successfully calculated the marginal rate of substitution by applying the concept of total derivative to the utility function U.

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according to the united nations, the process of increasing the number of choices that people have so that they can lead life to its fullest and be able to take action for themselves to improve their lives is called

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According to the United Nations, the process of increasing the number of choices that people have so that they can lead life to its fullest and be able to take action for themselves to improve their lives is called empowerment.

Empowerment is a process that aids individuals in increasing their influence, authority, and self-confidence to make decisions and take actions that result in substantial progress in their lives. Empowerment aims to raise people's sense of responsibility, provide them with the ability to participate in decision-making and facilitate access to resources and opportunities that will enhance their quality of life.

It is also about individuals and communities gaining the right to make their own choices.  Empowerment is connected to development. It is considered a key element in the development process. The United Nations recognizes empowerment as a tool for advancing the development agenda.

It is considered to be an approach that enables people to participate in the process of their development and lead life to its fullest . It is an approach that aims to create opportunities for people to improve their lives, particularly for the most marginalized and vulnerable populations.

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Social compensation is most likely to occur in a group whenA.)group cohesiveness is very highB.)all group members are highly motivated to accomplish group tasksC.) a high-ability member realizes that his or her maximum effort is required for the group to be successful because other group members have less ability to perform effectivelyD.)all of the above

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Social compensation is a phenomenon in which members of a group work harder to compensate for the lack of effort of other group members. The correct answer is D.) all of the above.

When a group member feels that others are not contributing, they increase their own effort to compensate for the group's shortcomings. This increase in effort is known as social compensation.Social compensation is most likely to occur in a group when all of the above factors are present: group cohesiveness is very high, all group members are highly motivated to accomplish group tasks, and a high-ability member realizes that his or her maximum effort is required for the group to be successful because other group members have less ability to perform effectively.

Social compensation is a positive and beneficial phenomenon for groups as it leads to higher group performance and productivity. The correct answer is D.) all of the above.

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fill in the blank. micah's psychiatrist diagnosed him with depression. his psychiatrist follows a biological model and believes that micah has low activity of___, which have been strongly linked to unipolar depression.

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Micah's psychiatrist diagnosed him with depression. His psychiatrist follows a biological model and believes that Micah has low activity of neurotransmitters, which have been strongly linked to unipolar depression


Micah's psychiatrist follows a biological model and believes that Micah has low activity of neurotransmitters, such as serotonin, norepinephrine, and dopamine, which have been strongly linked to unipolar depression. These neurotransmitters are responsible for regulating mood, emotions, and other mental functions.

Low activity of these neurotransmitters can lead to depressive symptoms, such as persistent sadness, low energy, and difficulty concentrating. Therefore, Micah's psychiatrist diagnosed him with depression based on the biological model which suggests that low activity of neurotransmitters can cause depression.


Neurotransmitters are responsible for sending messages between neurons or nerve cells in the body. They help control our feelings, behaviors, and thoughts. When neurotransmitter activity is low, it can lead to depression. Hence, Micah's psychiatrist diagnosed him with depression and believes that Micah has low activity of neurotransmitters, which have been strongly linked to unipolar depression.

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archaeologists must determine whether an archaeological find is in its primary or secondary context in order be able to properly analyze the finds. identify whether the following statements describe a situation in primary context or secondary context.

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Primary context refers to the original position of an archaeological find, while secondary context refers to the position of an archaeological find after it has been disturbed or moved.

1. "A pot is found buried in the ground in the same position it was left by its original users." - This statement describes a situation in primary context, as the pot is in its original position.

2. "A tool is found on the surface of the ground, having been moved from its original position by natural processes or human activity." - This statement describes a situation in secondary context, as the tool has been moved from its original position.

3. "A skeleton is found in a burial site, with no evidence of disturbance." - This statement describes a situation in primary context, as the skeleton is in its original position and there is no evidence of disturbance.

4. "A coin is found in a different location from where it was originally lost or deposited, due to erosion or excavation." - This statement describes a situation in secondary context, as the coin has been moved from its original position due to natural or human activity.

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while traveling in spain this summer, kylie had some difficulty understanding the people she met, even when they spoke english. the accents kylie heard could be considered a .

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While traveling in Spain this summer, Kylie had some difficulty understanding the people she met, even when they spoke English.The accents Kylie heard could be considered a dialect.

What is a dialect?

A dialect is a variation of a language spoken by a specific group of people. It can include variations in vocabulary, grammar, and pronunciation. While most dialects are mutually intelligible with the standard language, some may be more challenging to comprehend for people who are not familiar with them.

What could be the cause of Kylie's difficulty understanding people in Spain, even when they spoke English?

Kylie's difficulty understanding people in Spain, even when they spoke English, could be due to their accent. People in Spain who speak English may have a distinct accent that could be challenging to comprehend, particularly for those who are not familiar with it.

This accent may be due to the fact that Spanish is their first language, and they learned English as a second language. As a result, the pronunciation and intonation of their English could differ from that of native speakers.

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What is classical conditioning? Explain it in terms of the US, UR, CS, and CR.

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Classical conditioning is a type of learning in which an organism learns to associate one stimulus with another. This is achieved through the repeated pairing of an unconditioned stimulus (US) with a conditioned stimulus (CS), resulting in a conditioned response (CR) to the CS.

The US is a stimulus that naturally and automatically triggers a response. For example, the smell of food is a US that naturally triggers salivation (the unconditioned response, or UR) in an animal.

The CS is a previously neutral stimulus that, after being paired with the US, eventually triggers the CR. For example, if a bell is repeatedly rung just before the smell of food is presented, the bell becomes the CS and eventually triggers salivation (the CR) even in the absence of the US.

In summary, classical conditioning involves the learning of a new association between a previously neutral stimulus (the CS) and a naturally occurring stimulus (the US), resulting in a learned response (the CR) to the CS.

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GNC membership. GNC provides a membership program that allows members who have paid the annual fee to receive discounts, free shipping, and pro boxes. There is a perceived value added for customers that buy in bulk or shop at GNC frequently. explain Price Discrimination

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Price Discrimination is defined as the practice of selling a product or service to different customers at different prices. In other words, price discrimination refers to charging different prices for the same product or service, depending on the customer or the circumstances.

Price discrimination can be done in many ways, such as charging higher prices to customers who are willing to pay more, or lower prices to customers who cannot afford to pay full price.

Companies can also use pricing strategies to attract customers to buy in bulk or shop frequently, such as offering membership programs that provide discounts, free shipping, and other benefits.

GNC provides a membership program that allows members who have paid the annual fee to receive discounts, free shipping, and pro boxes. There is a perceived value added for customers that buy in bulk or shop at GNC frequently. This is an example of price discrimination because GNC charges different prices for the same products or services, depending on whether the customer is a member or not.

GNC's membership program is designed to attract customers who are willing to pay more for the perceived value added by the program. By doing so, GNC is able to maximize profits by charging different prices to different customers based on their willingness to pay.

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In Example 2.8, we discussed the recent increase in world demand for copper, due in part to China's rising consumption. Using the original elasticities of demand and supply (i.e., Es = 1.5 and ED = -0.5), calculate the effect of a 20-percent increase in copper demand on the price of copper. Recall that the demand equation is Q = 27 - 3P, the supply equation is Q = -9+9P, the initial equilibrium price is p* = $3.00 (dollars per pound), and the initial equilibrium quantity is Q* = 18 (million metric tons per year). As a result of this change in demand, the price of copper will increase by $.29. (Enter your response rounded to two decimal places.) Now calculate the effect of this change in demand on the equilibrium quantity, Q*. by million metric tons per year. (Enter your response rounded to As a result of this change in demand, the equilibrium quantity will two decimal places.)

Answers

As a result of this change in demand, the equilibrium quantity will decrease by 0.60 million metric tons per year. The new equilibrium quantity of copper will be 17.4 million metric tons per year.

Elasticity refers to the degree of responsiveness of supply and demand in response to changes in price or income. Demand elasticity is a measure of how much demand changes as a result of a price change. Supply elasticity is a measure of how much supply changes as a result of a price change.

In this question, we are asked to calculate the effect of a 20% increase in copper demand on the price of copper using the original elasticities of demand and supply.The demand equation is Q = 27 - 3PThe supply equation is Q = -9 + 9PP = (Q + 9) / 9Substitute P in Q = 27 - 3PQ = 27 - 3 ((Q + 9) / 9)Simplifying,Q = 24 - (1/3)QNew quantity demanded after a 20% increase isQ2 = 1.2 Q1where Q1 is the original quantity demandedQ2 = 1.2 x 18Q2 = 21.6Equilibrium price before the increase in demand is$3.00 per poundTherefore,P1 = $3.00 per poundThe effect of a 20% increase in copper demand on the price of copper is:P2 = P1 × (1 + ED/ES) × (Q2/Q1)P2 = $3.00 × (1 - 0.5/1.5) × (21.6/18)P2 = $3.29 per pound

The price of copper will increase by $.29 as a result of this change in demand.The initial equilibrium quantity is Q* = 18 million metric tons per year. The effect of the change in demand on the equilibrium quantity is calculated as follows:Q2 = 21.6 million metric tons per yearQ1 = 18 million metric tons per yearTherefore,∆Q = Q2 - Q1= 21.6 - 18= 3.6 million metric tons per year As a result of this change in demand, the equilibrium quantity will decrease by 0.60 million metric tons per year. The new equilibrium quantity of copper will be 17.4 million metric tons per year.

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5. Briefly describe the role of businesses and governments in a mixed economy.
Then, give at least one strength and one weakness of a mixed economic system. (4
points)

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In a mixed economy, businesses and governments both play important roles. Businesses are responsible for producing and distributing goods and services, creating jobs, and generating profits. Governments, on the other hand, regulate and oversee economic activity, provide public goods and services, and may intervene to address market failures or redistribute wealth.

One strength of a mixed economic system is that it allows for a balance between market forces and government intervention, providing the potential for both efficiency and equity. This can result in a higher standard of living for citizens and a more stable economy. However, a weakness of a mixed economy can be the potential for political interference or corruption in economic decision-making, which can lead to inefficiencies and inequality.

Let y be a RV with mean -2 and variance 3. Lex x =2*y+4.
What is the sum of the mean and variance of x?

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Given, Y is a random variable with a mean of -2 and variance of 3. Sum of mean and variance of x = E(x) + Var(x)= 0 + 12= 12.

So, x = 2y + 4 will be a random variable. We need to find the sum of the mean and variance of x. Hence we have to find E(x) and Var(x). Calculation of E(x):The expected value of the given function is E(x) = E(2Y + 4) = 2E(Y) + 4.

Using the given information E(Y) = -2. Then E(x) = 2(-2) + 4= 0 Hence the expected value of x is 0. Calculation of Var(x): The variance of the given function is Var(x) = Var(2Y + 4) = 4Var(Y) Since Y has variance of 3.4Var(Y) = 4*3 = 12.Hence the variance of x is 12.

Now we need to find the sum of the mean and variance of x. Sum of mean and variance of x = E(x) + Var(x)= 0 + 12= 12.

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our classical and folk dances are in the verge of extinction . what role should be played by the local level for the preservation and promotion of classic and folk dance? state any four roles​

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Answer:

Creating awareness: The local government can organize cultural events and workshops to educate people about the importance of classical and folk dances. They can also encourage schools to teach these dance forms.

Funding and support: The local government can provide funding for dance schools, cultural centers, and other institutions that promote classical and folk dances. They can also provide infrastructure and logistical support for dance events and festivals.

Encouraging participation: The local government can encourage and support dancers and performers by providing platforms for them to showcase their talent. They can also organize competitions and festivals to motivate young artists.

Documentation: The local government can play a crucial role in documenting classical and folk dances. They can fund research projects, document performances, and maintain archives to preserve the history and evolution of these dance forms.

In summary, the local government can create awareness, provide funding and support, encourage participation, and document classical and folk dances to preserve and promote these vital cultural heritage elements.

Can someone answer this question

Which describes literature during the Goryeo dynasty?

Responses

A) It was controlled by rulers that would not tolerate any religion except Confucianism.It was controlled by rulers that would not tolerate any religion except Confucianism.

B) It included books on history, sacred texts, and legends by both Buddhist and Confucian scholars.It included books on history, sacred texts, and legends by both Buddhist and Confucian scholars.

C) It was mostly the domain of Chinese-born monks and scholars sent to Korea by the Tang dynasty.It was mostly the domain of Chinese-born monks and scholars sent to Korea by the Tang dynasty.

D) It contained very little poetry or drama but was focused on history, philosophy, and religious teachings.

Answers

Literature described the Goryeo dynasty as being included books on history, sacred texts, and legends by both Buddhist and Confucian scholars. The Option B is correct.

What was the Goryeo dynasty known for?

Goryeo was a Korean state founded in 918, during the Later Three Kingdoms period of national division, that unified and ruled the Korean Peninsula until 1392.  Korean historians have referred to Goryeo as a "true national unification" because it not only unified the Later Kingdom but also the Republic of Korea.

Three Kingdoms, but also included a large portion of the ruling class of the northern kingdom of Balhae, which had its origins in Goguryeo, one of Korea's earlier Three Kingdoms. The name "Korea" is derived from the name Goryeo, also romanized as Kory, which was first used by Goguryeo in the early 5th century.

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Generally, describe the projected distribution of cities in the world in 2030. How does this compare to the distribution
in 1950? In 2018?

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Cities are expected to be more developed in 2030. People will work from home as internet usage increases.

What city distribution is anticipated?

The pattern of urbanization and the arrangement of cities within a nation or region are referred to as the size and distribution of cities. Geographical conditions, transportation systems, economic growth, and cultural and political issues are some of the variables that might affect the size and distribution of cities.

Internet usage was extremely low in 1950. Most of the work had been done offline (industrial age). Urbanization occurred as a result of industries, although buildings' structures were chaotic.

With less internet use, more service sector activities occurred in 2018.

Urbanization will take place in better organized but congested areas in 2030, specifically.

In 2030 the urbanization will happen in more organized but crowded especially in developing country.

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every evening at a neighborhood bar, the clientele, which consists of construction workers, plumbers, and factory workers, watches sporting events on a big-screen television and plays pool. the people who hang out in this bar are an example of a

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Every evening at a neighborhood bar, the clientele, which consists of construction workers, plumbers, and factory workers, watches sporting events on a big-screen television and plays pool. The people who hang out in this bar are an example of a working-class bar.

A working-class bar is an establishment that primarily serves working-class clientele. They are typically located in neighborhoods or other areas where working-class people live or work. Such bars usually offer inexpensive drinks, simple food, and a relaxed atmosphere. They may also offer entertainment, such as live music or karaoke, to attract customers. The people who frequent working-class bars often share similar interests and values. They may enjoy watching sports, playing games like pool or darts, or simply socializing with friends and coworkers after a long day at work.

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increasingly concerned about my minor heartbeat irregularities, i think that my health is being threatened. my therapist tells me i am misinterpreting my body's normal signals. which viewpoint is the therapist speaking from?

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The viewpoint from which the therapist is speaking is the viewpoint that heartbeat irregularities are normal signals of the body, and the student is misinterpreting these signals.

The therapist's viewpoint regarding heartbeat irregularities is that they are normal signals of the body, and the student is misinterpreting these signals. In conclusion, the therapist thinks that the student is mistaken in believing that their heartbeat irregularities are putting their health in danger. According to the therapist, the heartbeat irregularities are natural signals of the body, and the student is just misinterpreting them. Hence, the therapist is advising the student not to worry about these heartbeat irregularities as they are quite normal.

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Give your answer to 3 significant figures which is true of status, according to weber's theory? group of answer choices marx analyzed class only; weber analyzed status only. status is a positive quality that is always desirable. status correlates with class; that is, higher class means higher status, and lower class means lower status. pariah groups have status, but it is of a negative quality. 18. Why do metal cooking utensils have plastic handles to protect your hands fromheat?A. Metal is an insulator, and the heat doesn't pass through it.B. Metal contains more air pockets than plastic.C. Metal isn't a good conductor, but plastic is.D. Metal easily conducts heat, but plastic doesn't. The most powerful volcanic eruption on earth in the last 10,000 years was approximately VEI 7.3 (Mt. Rinjani in Indonesia). The most powerful volcanic eruption in the last 100 years was the 1991 eruption of Mt. Pinatubo in the Philippines (I remember it very well). It was rated a 6.0. How much larger was the Mt. Rinjani eruption than the Mt. Pinatubo eruption? Since the beginning of the Industrial Revolution in the late1700s, writers have warned about the danger that would arisefrom pollution and from unwise use of raw materials.Given this fact, which statement from the excerpt is mostprobably false?O"And yet, rather curiously, at the same time that therecomes that increase in what the average mandemands from the resources, he is apt to grow tolose the sense of his dependence upon nature."O"He does not realize the demands he is making uponnature.""He deals in industries that do not bring him in closetouch with nature.""As peoples become a little less primitive, theirO industries, although in a rude manner, are extendedto resources below the surface;PLS HALP pls help Read the excerpt from On the Oregon Trail Chapter Two, "The Wagon Trail."After a few more hours on the road, they had made it to South Pass, Wyoming. The captain said that there were two mountain passes, but South Pass was the lower and the easier of the two. Otis helped set up camp with the other travelers. Otis had camped with his mom and brother before but never quite like this. As the horses grazed nearby, he and Will collected kindling and firewood and built a fire. They cooked beans, corn, and ham in a pot over the fire and had dried fruit for dessert. Otis was famished and ate faster than the others. That night, Will's father directed the wagon drivers to make a circle for protection from danger, such as bandits. This made Otis nervous, but Will reassured him that they were safe.The following morning, Otis woke up as the first rays of sunshine stretched across the horizon. He helped break down the campsite and get ready to continue their trek across the plains. He had a rush of anxiety as the captain lifted him up and let him ride one of the horses for the first time in his life. 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