Government economists in a certain country have determined that the demand equation for soybeans is given by p = f(x) = 57 2x2 + 1 where the unit price p is expressed in dollars per bushel and x, the quantity demanded per year, is measured in billions of bushels. the economists are forecasting a harvest of 2.4 billion bushels for the year, with a possible error of 10% in their forecast. use differentials to approximate the corresponding error in the predicted price per bushel of soybeans. (round your answer to one decimal place.)

Answers

Answer 1
=> 
|∆p| = |dp/dx|∙|∆x| 
= | d{ 56/(2∙x² + 1) ]/dx | ∙ |∆x| 
= | 56∙(-1)∙2∙(2x)/(2∙x² + 1)² ] | ∙ |∆x| 
= | -224∙x/(2∙x² + 1)² | ∙ |∆x| 

for 
x = 1.9 
∆x = 0.1∙1.9 = 0.19 

|∆p| = 224∙1.9/(2∙(1.9)² + 1)² | ∙ |0.19| = 1.197 

That is about twice of your result. Maybe you forget a factor 2 in the numerator while taking the derivative.
Answer 2

The economists who are forecasting a harvest of 2.4 billion bushels for the year, with a possible error of 10% in their forecast. Using the differentials to approximate the corresponding error in the predicted price per bushel of soybeans is 1.197.

What is approximation error?

The difference between an exact value and an approximation to it is the approximation error in a data value or differentials. This error can be expressed as a relative error or as an absolute error (the magnitude of the mismatch in numbers) (the absolute error divided by the data value).

If x increases from x=a to x=a + dx, one can utilize the differential dy = f (a) dx to approximate the change in y.

With the help of this formula we can calculate the error:

|∆p| = |dp/dx|∙|∆x|

= | d{ 56/(2∙x² + 1) ]/dx | ∙ |∆x|

= | 56∙(-1)∙2∙(2x)/(2∙x² + 1)² ] | ∙ |∆x|

= | -224∙x/(2∙x² + 1)² | ∙ |∆x|

for

x = 1.9

∆x = 0.1∙1.9 = 0.19

|∆p| = 224∙1.9/(2∙(1.9)² + 1)² | ∙ |0.19| = 1.197

Therefore the possible approximate error of a factor 2 is in the numerator would be taking in derivative concept.

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Related Questions

All else being held constant, an increase in the price of a good would necessarily:

Answers

Reduce the purchase of that good It is a basic corollary of the law of supply and demand that increases in price reduce purchase.

Which would you expect to be the biggest amount on your pay stub?
A.) take Home Pay
B.) Net Income
C.) Gross Income
D.) Required Deductions

Answers

Answer:

Gross Income is the answer!

Explanation:

Answer: C

Explanation: Apex

If services for the month total $3,300 in cash and $700 on account, the cash account increases $700.
a. True
b. False

Answers

I think it is A. True. 

Because you are adding $700 each month after a month total of $3,300 each month in cash. 

Hope this helps! 

Have a great day.

The basket of goods in the consumer price index consists of about _________ products; that is, several hundred specific products in over __________ broad-item categories.

Answers

The basket of goods in the consumer price index consists of about     " 80,000"     products; that is, several hundred specific products in over     "200"      broad-item categories.

The basket of goods in the consumer price index consists of about 80,000" products; that is, several hundred specific products in over 200 broad-item categories.

What is consumer price index?

The Consumer Price Index (CPI) is a gauge of how prices for a market basket of consumer goods and services have changed on average over time for urban consumers.

The tool used to gauge inflation is the consumer price index (CPI). It is used to calculate the typical difference in pricing of household goods between two specified periods. It is an overall assessment of product pricing trends while maintaining quality.

The Office for National Statistics is responsible for publishing the CPI. It calculates the average monthly change in prices for the majority of UK households' purchases of goods and services. The government bases its inflation objective and state-level inflation increases on the CPI.

Thus, 80,000 and 200

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If a customer pays a retailer in cash, he is likely to remain a mystery to the retailer because his name is not attached to the money. retailers can tie the customer to cash transactions and track the customer's activity if they can convince the customer to use a _____.

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I believe ur answer would be loyalty card.

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Answers

Transactions between businesses conducted electronically over the Internet, extranets, intranets, or private networks; also known as eB2B (electronic B2B) or jusT B2B. Also a corporate based acquisition site will use reverse auctions as well. It's also a model in which corporations buy products and services from other companies as well.

Brian has just finished college. He wants to set up a small business to make and sell fireworks. He registers his company and acquires a license from the government. He finds that most of his competitors are selling fireworks at an extremely low price. He would like to make more money, so he decides to innovate and develop better fireworks. He sells his fireworks at a higher price, and they are a huge hit with the customers. After a few years, he earns enough profit to set up a bigger fireworks factory that complies with the government’s health and safety regulations. He even starts exporting fireworks overseas. Which type of economy does this scenario describe?
mixed economy
command economy
communist economy
traditional economy
market economy

Answers

The answer to this question is Market Economy.The most dominant Characteristic of the Market Economy is the freedom for the private sectors to compete and took control of the market.In order to beat the competitors, various strategies such as lower price, mass production, improving customer service, inventing a product that makes customer's life easier are often used by the companies that mentioned in the scenario.In market economy, the Government only played as a regulator to make sure that the each competitors follow a certain regulations to protect consumers.
it would have to be market economy

Which is the correct order of entities who benefit when banks make a profit
1. employees, shareholders, and the economy
2. shareholders, shoppers, and the economy
3. employees, companies, and the economy
4. shareholders, companies, and the economy

Answers

D. Shareholders, companies, and the economy is the answer.

Hope it helps.

I believe the answer is: 4. D. Shareholders, companies, and the economy

When bank make a profit, it first need to spread its dividend proportionally to the percentage of ownerships that the shareholders have.  After that , the amount of profit could be used as loan for companies to expand their operation. When this happen, the amount of wealth accumulated in a country would be increase, which would positively benefit the economy as a whole.

When two or more goods are being purchased, the utility-maximizing combination is the person's budget is exhausted and _______________?

Answers

When two or more goods are being purchased, the utility-maximizing combination is the person's budget is exhausted and Combustion.

What is purchase?

A purchase is when a person makes a purchase or acquires possession of a product. A price must be paid in order to purchase an item. A laptop, an apartment, a car, or even some shampoo can be the purchased object.

The idea of utility maximization states that people and businesses should aim to maximize their level of happiness as a result of their spending decisions.

By evaluating the marginal utility between two alternatives and then choosing the one that has the highest combined pleasure inside these budgetary constraints, one can identify the mixture of products or services that relates to the way.

The choice that results in the highest degree of satisfaction has an impact on the choice.

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The utility-maximizing combination occurs when a consumer's budget is fully used and when the last unit of currency spent on each good yields the same level of marginal utility, ensuring equal marginal utility to price ratios for all consumed goods.

When two or more goods are being purchased, the utility-maximizing combination is when the person's budget is exhausted and the ratios of marginal utility to price are equal for all goods. In economics, this reflects a condition where consumers have allocated their budget in such a way that the last unit of currency spent on each good provides the same level of marginal utility, often referred to as equi-marginal principle. This outcome is achieved by following a general rule: always choose the item with the greatest marginal utility per dollar until the budget is fully exhausted, ensuring the marginal utility per dollar spent is the same across all consumed goods.

This concept is central to the theory of consumer choice and the notion of indifference curves and budget constraints, representing the tradeoffs and decisions a consumer makes to achieve maximum satisfaction (utility) from their goods given their budget constraints.

The most common form of marketing organization consists of ________ reporting to a marketing vice president who coordinates their activities.

Answers

The most common form of marketing organization consists of functional specialists reporting to a marketing vice president who coordinates their activities.

The most common form of marketing organization consists of functional specialists reporting to a marketing vice president who coordinates their activities.

What is organization?

The word “organization” refers to the structure and hierarchy of the workplace as well as the shared objectives of its participants. The word “organization” is primarily used in the workplace and in business contexts. An organization are the based on the management without management are not the proper functioning of the organization.

The functional specialist of the marketing organization is the specialist on her responsibility and the role. The marketing management are the     of functional specialists of the role is research in the market, command on the promotion and advertisement, distribution of the channel are the  and maintain the customer relations.

As a result, the marketing organization consists of the functional specialists are they coordinate the marketing activity.

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If the attention-getter of a sales message does not introduce a product, _____

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If ever the attention-getter isn’t able to establish the manufactured goods, the service or scheme, it must lead logically to the introduction. It is called being Cohesive. Being cohesive is the extent wherein the team members remain united in pursuing a common goal for the business.

Clint prepares and sells trail mix at his store. this week, he uses 3/8 of his supply of raisins to make regular trail mix and 1/4 of his supply to make spicy trail mix.if clint uses 20 pounds of raisins this week, how many pounds of raisins did he have at the beginning of the week?

Answers

To find the total amount of raisins that Clint had to begin the week, first add the two amounts that he used together by setting both as common denominators (in this case, eighths). (3/8 + 2/8) is (5/8). Second, set this value as an equivalent ratio to the amount of raisins that Clint has now to the amount he began the week with. (5/8 = 20/x). Since we see that 5 is four times less than 20, we know that 8 is four times less than the amount of raisins at the beginning of the week, which would then be 32 pounds.

To find Clint's initial supply of raisins, we set up an equation using fractions representing how much he used for different mixes and solved it to find he had 32 pounds initially.

To determine how many pounds of raisins Clint had at the beginning of the week, we need to set up an equation based on the information provided.

Clint used 3/8 of his supply for regular trail mix and 1/4 of his supply for spicy trail mix. Let's denote his initial supply of raisins as x pounds.

We can express the equation as:

(3/8)x + (1/4)x = 20 pounds

To simplify calculations, we need a common denominator for the fractions, which is 8:

(1/4)x can be converted to (2/8)x

Now, the equation looks like this:

(3/8)x + (2/8)x = 20 pounds

Combining the fractions:

(5/8)x = 20 pounds

To solve for x, multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

x = 20 * (8/5)x = 160/5x = 32 pounds

Therefore, Clint had 32 pounds of raisins at the beginning of the week.

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Answers

Xyz company is a low-cost provider. Xyz is most susceptible to ANY NEW INNOVATIONS OR INVENTIONS FROM A COMPETITOR COMPANIES.
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Answers

Tax is the single largest expense for insurance, income, everyday purchases, etc. The more money you receives, the more taxes you pay. 
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Answers

The answer is intrinsic motivation. It is because when the workplace managers promote or increases the intrinsic motivation of their employees, there will be a development with the working process and their capabilities will be heightened in a way that they may perform an excellent performance and to be able to adopt with new changes and ideas.

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Answers

The least powerful types of laws are the Local Ordinances. The local ordinances are  laws that govern the behavior of citizens who reside in a specific city or town. They are the least powerful laws because carry lesser punishments and what is more important they may be overridden by either state or federal law. 
The least powerful types of laws are appointed laws. Laws that are not voted on by citizens may not be taken seriously and people may not abide by them. Laws that are voted upon are more likely to be supported by the population.


Scenario:
The government of Country Q has just implemented a new tax on goods imported from neighboring countries. The government hopes that citizens of Country Q will purchase fewer items from neighboring countries and more items produced within Country Q's borders.


Based on the information provided, what type of tax has Country Q implemented?
A. an income tax
B. a tariff
C. a corporate tax
D. an excise tax

Answers

The correct option is B.
A tariff is define as the tax which is levied on imported goods in order to make them more expensive. Government usually levy tariff on imported goods in order to make them more expensive than the goods that are produce locally. This is done in order to encourage consumers to buy more of locally made goods than imported goods. Buying more of locally made goods improves the local industries and improve the country's GDP.

Based on the information provided, the type of tax that Country Q has implemented is B. a tariff.

A tariff is defined as a tax or duty to be paid on an import or export. Since the government has implemented a new tax on goods that are being imported, they have created a tariff on those items. Now that there is a tariff in place, the government will collect more money on the taxable items coming into the country.

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Answers

i t  could be a plea bargain.

Answer:

Ed gen uity says its plea bargaining

Explanation:

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Answers

The answer is the "Fixed Cost Curved". Why? Because the $50,000 license is a fixed cost. The license serves as a permission to sell liquor. The fixed cost curved will be affected since, the cost of the license is $50,000 and will not increase nor decrease regarding the amount of liquor sold by the store.

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Answers

The use of only a portion or percentage of the available outlets in each geographic area for market exposure is called selective distribution.
we can say about distribution channels that they start with producer and ends with consumer. There are many types of distribution like intensive distribution, exclusive distribution, physical distribution, selective distribution etc.

Answer:

Selective distribution is the correct answer.

Explanation:

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Answers

The convenience offered by electronic communication needs to be weighed against security and privacy concerns. Security and Privacy encompasses the rights and obligations of individuals and organizations with respect to the collection, use, retention, disclosure, and disposal of personal information. Security and Privacy is a risk management issue for all organizations, and many are looking to CPA firms for solutions.

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Answers

The Rule of 70 can be used to determine the length of time it would take for a variable to double. In this case, using a growth rate of 4%, we can divide 70/4 to find that it would take 17.5 years for the GDP of this nation to approximately double.

On friday, you drove 145 miles to stay at your grandmother's house. on sunday, you returned home and calculated that the round trip travel time was 5 hours. what was your average speed?

Answers

 

The average speed is calculated by dividing the total distance traveled by the total time spent for the travel. It is given in this item that the distance covered in the one-way trip is 145 miles. Multiplying this by 2 will give us the total distance covered equal to 290 miles. To calculate for the average speed, we divide this by 5 hours.

This is as shown below,

           Average speed = (290 miles/5 hours) = 58 miles per hour

ANSWER: 58 mph

Establishing international treaties that ban the transfer of potentially harmful species from one country to another is a good way to control ____.​

Answers

Establishing international treaties .............................. is a good way to control INTRODUCTION OF INVASIVE SPECIES.
Invasive species are those animal species which are removed from a different ecosystem and are brought to a new ecosystem, where they cause damages to other species which originally inhabit the ecosystem. Invasive species can wipe out the native species thus disrupting the ecosystem.

Security a has an expected rate of return of 12% and a beta of 1.10. the market expected rate of return is 8% and the risk-free rate is 5%. the alpha of the stock is __________.

Answers

3.7%. The alpha is equal to 0.12 times (0.05 + 1.1(08-.05)).

An _______ ______ is a mineral deposit that has been tested and is known to be of sufficient size, grade, and accessibility to yield a profit.

Answers

This is an ore deposit. This is the economic term: mineral deposit is a geologic term. Mineral deposits may be ore deposits at some points in time and may not be economically-feasible at others, depending on outside factors such as value of the items mined, the costs involved, and the political landscape that might make mining the metal unfeasible.

Some erp systems integrate _________ capabilities that allow sales departments to manage call centers, support customers, and keep track of sales commissions.

Answers

ERP systems may include CRM capabilities for managing customer relations, support, and sales activities, enhancing targeted marketing efforts, and improving business intelligence.

Some ERP systems integrate customer relationship management (CRM) capabilities that allow sales departments to manage call centers, support customers, and keep track of sales commissions.

These integrated systems facilitate a comprehensive approach to handling company interactions with current and prospective customers. They consolidate data from various communication channels, enabling companies to handle customer support, sales tracking, and individual customer monitoring efficiently.

For instance, CRM components within an ERP system can automatically recognize individual customers and tailor services to them, ensuring higher customer satisfaction and optimized sales efforts. Additionally, integrating CRM capabilities with ERP systems supports targeted marketing efforts and improves overall business intelligence.

Integration with sales organizations, social media engagement, and access to customer contact information (when permissible) significantly enhances the effectiveness of a company's sales strategy.

What happens if you don't pay your car insurance premium for your vehicle?

Answers

Well if you dont pay for it you will loose your insurance. Nothing would happen instantly but if you are pulled over on the road regardless of the reason (even if someone did something to you) you will be in a looot of trouble. Like a lot

B. suppose that fun world considers charging an admission fee, even though it maintains the price of each ride at $5. what is the maximum admission fee it could charge? (assume that all potential customers have enough money to pay the fee)

Answers

I would say $5 would be the maximum it should charge but in actuality Fun World could charge whatever they want, as admission isn't the same as a ride. Admission would be the right to access each $5 ride.

Lets say an airplane company has fixed costs of $100 million and variable costs per unit of $2 million. planes sell for $3 million each. what us the company's break even point in terms of the number of planes that need to be told just to beak even

Answers

The fixed costs start the company at a net of -$100 million per year. Each plane that is produced and sold earns the company a net of +$1 million (-2 + 3). This would mean that the company would need to sell 100 airplanes in order to break even for the year.
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