The anticipated overhead rate is= $7. During the first month of operations, the following total manufacturing overhead was applied to the Work in Process Inventory account= $49,000
What is overhead rate?An expense related to the creation of a good or service is the overhead rate. Overhead expenses include things like the price of the corporate headquarters that aren't directly related to productivity.
In order to distribute or allocate the overhead costs depending on certain metrics, an overhead rate is applied to the direct production-related costs.
For instance, based on the number of machine hours or human hours needed to produce the product, overhead charges may be levied at a predetermined rate. Overhead expenses or expenses not directly related to the creation of a good or service are known as indirect costs.
3. At the end of the first month, the Work in Process Inventory account had the following balance= $86,800
4. Prior to making an adjustment for manufacturing costs that was either over- or under-applied, the company would report the following gross profit during its first month of operations= $5,000.
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Which of the following would be the most effective as a leading metric to evaluate Process Safety Culture?
-Average Response time to the resolution of a process safety suggestions
-Number of open recommendations (from risk analyses, incident investigations...
The price elasticity of demand for business travelers is 0.45, and the price elasticity of demand for vacationers is 1.33.
Therefore, the demand for airline tickets in this price range is less elastic for vacationers than for business travelers, because the price elasticity of demand for business travelers is lower than that for vacationers.
Price elasticity quantifies how responsively a good's supply and demand are to changes in price. It is calculated by dividing by the percentage change in price the percentage change in quantity demanded—or delivered.
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ssume that the resources best suited to producing a particular service are preferentially used in the production of that service and that as the economy moves down along the production possibilities frontier
Assume that in order to produce a certain service, the resources most appropriate for doing so are used first, and that as the economy grows,...
Why mean is appropriate?
Assume that in order to produce a certain service, the resources that are most suited to doing so are utilized prioritarily. Due to the fact that it uses all of the values in the data set in its calculation and that any change in any of the scores would have an impact on the mean's value, the mean is generally regarded as the best measure of central tendency in this case. The median or mode don't work like this.
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For marketing to occur, there must be two or more parties with unsatisfied needs. Dr. Pepper and Snapple Group distributes Country Time lemonade in cans through supermarkets at a price comparable to soft drinks. The most likely "second" party needed for marketing to occur would be
The most likely "second" party needed for marketing to occur in this situation would be the supermarkets. This is because supermarkets have an unsatisfied need for a product to sell to their customers.
The supermarkets are the most likely "second" party needed for marketing to occur in this situation. Additionally, Dr. Pepper and Snapple Group must also ensure that the supermarkets are satisfied with the product they are providing. This means that Dr. Pepper and Snapple Group must ensure that the product is of high quality and is priced competitively. Furthermore, Dr. Pepper and Snapple Group must also ensure that the product is marketed effectively to the supermarkets' customers. This can be done through promotional activities such as advertising, discounts, and special offers. By ensuring that the supermarkets are satisfied with the product they are providing, Dr. Pepper and Snapple Group can ensure that marketing is successful.
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Which of the following is not considered in evaluating the highest and best use of an asset by market participants at the measurement date?
a. Physically possible
b. Legally permissible
c. Readily accessible
d. Financially feasible
Option (c), readily accessible is not considered in evaluating the highest and best use of an asset by market participants at the measurement date.
What is the property's highest and best use?When a vendor says "highest and best," it suggests that they have received many offers and do not want to bargain. A well-known principle that is utilized in conjunction with the assessment process is the highest and best use. This hypothesis is based on the correlation between a property's maximum possible worth and its highest and best use to maximize the return on the owner's initial investment.
The majority of appraisers concur that the highest and best use analysis is a crucial part of their arsenal. This approach enables appraisers to determine which type of development will be most profitable at the site and even accounts for adaptations within legal limitations.
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barclay bikes manufactures and sells three distinct styles of bicycles: the youth model sells for $380 and has a unit contribution margin of $125; the adult model sells for $890 and has a unit contribution margin of $470; and the recreational model sells for $1,120 and has a unit contribution margin of $520. the company's sales mix includes: 5 youth models; 9 adult models; and 6 recreational models. if the firm's annual fixed costs total $6,540,000, calculate the firm's contribution margin ratio per composite unit (rounded to the nearest whole percentage). Multiple Choice
40.0%.
66.7%.
19.8%.
50.0%.
20.2%.
50.0% is the firm's contribution margin ratio per composite unit. A company's contribution margin ratio is the percentage difference between its revenue and variable costs.
What is the margin ratio?The profit margin ratio demonstrates how well a company is managing its finances as a whole by comparing profit to sales. Every time, a percentage is used to express it. Three additional sorts of profit margins are useful which are the net profit margin, operating profit margin, and gross profit margin.
Given:
Firm's Contribution Margin Ratio per Composite Unit
= Contribution Margin per composite unit / Sales Price per composite unit × 100,
Firm's Contribution Margin Ratio per Composite Unit
= $7,975 / $16,630 × 100,
Firm's Contribution Margin Ratio per Composite Unit
= 0.47955 × 100,
Firm's Contribution Margin Ratio per Composite Unit
= 50% (rounded to the nearest whole percentage).
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Many big box stores offer “Same as Cash for 12 Months”. What is the implied interest rate here? What is the “catch”, if there is one? Do some research if needed.
Answer:
"Same as Cash for 12 Months" is a type of financing option offered by big box stores that allows customers to purchase goods and pay them off over a 12 month period without incurring any interest. The implied interest rate in this case is 0%. However, there is usually a "catch" with this type of financing option. The catch is that if the customer does not pay off the balance in full within the 12 month period, they will be charged retroactive interest on the entire balance at a high rate, usually above 20% annually. So it is important for the customer to pay off the balance on time or else they will end up paying much more than the original purchase price. Additionally, some stores may also require a down payment or have other terms and conditions that may not be favorable. It is recommended for customers to read the fine print and understand the terms and conditions before availing this offer.
the words rays light and radiation are used to describe parts of the em spectrum. however they are all
The range of all EM radiation types is known as the electromagnetic (EM) spectrum.
Radiation is defined as energy that moves and disperses as it does. Radio waves from a radio station and visible light from a bulb in your home are two examples of electromagnetic radiation.
Electric and magnetic fields oscillate in a direction perpendicular to the direction of motion of the wave to form electromagnetic waves (transverse wave). According to their frequency and wavelength, electromagnetic waves may be divided into seven different kinds and travel at the same speed in a vacuum, also known as the speed of light. The term "electron spectrum" refers to this division.
The seven categories are, from lowest to highest wavelength:
Atomic rays
X-rays
ultraviolet light
observable light
thermal radiation
Microwaves
waves on radio
The electromagnetic spectrum does not, however, include sound waves since they are a different sort of wave known as mechanical waves (which consist of vibrations of the particles in a medium).
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What em spectrum pass through our atmosphere most easily?
which of the following statements about centrifugal pumps is most accurate? group of answer choices the centrifugal pump is classified as a positive displacement pump. the centrifugal pump is a secondary pump on most modern fire apparatus. the centrifugal pump moves a definite amount of water with each revolution. nearly all modern fire apparatus feature a centrifugal pump as the main pump.
Which of the following statements concerning centrifugal pumps is TRUE? A centrifugal pump is almost often used as the primary pump in modern fire apparatus. ... The centrifugal pump
What is an example of a statement?
Which of the following is the MOST TRUE regarding centrifugal pumps? A centrifugal pump serves as the primary pump in almost all contemporary fire apparatus. As for the centrifugal pump... Bananas do not have any bones, and I do enjoy them, but I enjoy them for their flavor and nutritional value more than their lack of bones. So if I stated, "I enjoy bananas because they have no bones," I would be saying something incorrect. Because of this, the statement "I enjoy bananas because they have no bones" is true.
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in a large dataset with 508 appoints responses ranged from 0 to 30 over half of the responses are zero with
The median and mode are more reliable measures of central tendency than the mean because they are frequently unaffected by unusually high values and because they are more resistant to outliers than the mean.
A measure of central tendency is a single number that attempts to characterize a set of data by identifying the center location within that set of data. As a result, measurements of central tendency are sometimes referred to as measures of central location. They fall within the umbrella of summary statistics as well. The mean, often known as the average, is perhaps the central tendency metric with which you are most aware, but there are also the median and the mode.
The mean, median, and mode are all trustworthy measures of central tendency, but under some circumstances, one measure may be more helpful than another. In the sections that follow, the mean, mode, and median will be thoroughly covered, along with how to calculate them and when to use them.
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Monies that flow out of businesses to pay for resources are costs to businesses, but they represent which of the following types of flows to households?
â¢profit income
â¢wages
â¢rent
â¢interest
Although the money that leaves enterprises to pay for resources is a cost to the businesses, it represents salary, rent, and interest to households.
What parts of the circular flow model are the following?
Households, the product and resource markets, and companies.
What is the name of the financial resource that the product market provides to businesses?Revenue is the term for the payment that businesses receive. Customers paying for their food at the diner, for instance, generates money. The place where the commodities and services created by businesses are purchased is, in essence, the market for goods and services.
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I need help please
First and foremost, we must understand that marketing campaigns are essential for businesses in a highly competitive market to differentiate themselves; they are also very common when a new product, piece of technology, or innovation is released.
What are importance of marketing campaign?Marketing campaigns that are very effective can be game changers for a firm. A good marketing campaign can break through the clutter and distinguish your business from your competitors, whether you are a small business owner trying to build brand awareness or an existing company launching a new product in the market.
Marketing campaigns can help you raise brand awareness and reach new customers. They also inform your target market about new products and services, help to build your reputation, and engage customers. In other words, they are very critical and essential for any business.
An example of a successful marketing brand using a social media platform is Nike on Ins/ta/gra/m. Nike has been able to effectively use Inst/agra/m to connect with its target audience and promote its products.
The brand has a strong visual identity on the platform, regularly posting high-quality images and videos of its products, as well as athletes and influencers wearing them. The brand has also been able to build a large following on the platform, with over 45 million fol/lowers.
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T/F import restrictions are becoming less important because consumers increasingly want to buy goods and services produced in their own countries.
Import restrictions are becoming less important because consumers increasingly want to buy goods and services produced in their own countries is a false statement.
What are the effects of import restrictions?Usually, trade restrictions are implemented to shield domestic businesses and workers from competition from foreign businesses. Importation restrictions are actions, typically taken by governments, that limit a company's capacity to import goods into international markets. The most frequent limitations include tariffs, quotas, and voluntarily imposed export limits.
Tariffs act as a levy on imports, making them more expensive than indigenous products. By definition, a good's supply is decreased by an import restriction. The three main tools used by governments to limit commerce are quota systems, tariffs, and subsidies. Countries that impose trade barriers, such as tariffs, boost costs and direct resources away from relatively efficient economic activities toward less efficient economic activities.
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In 1939 Roosevelt put Keynesian economic theory to work by requesting billions of dollars for work relief and farm aid in an attempt to sustain the purchasing power of individual Americans and stimulate the economy. T or F?
The statement 'In 1939 Roosevelt put Keynesian economic theory to work by requesting billions of dollars for work relief and farm aid in an attempt to sustain the purchasing power of individual Americans and stimulate the economy' is true so that the country could be brought out of the phase of the great depression.
In 1939, President Franklin D. Roosevelt put the Keynesian economic theory into practice. He requested billions of dollars for work relief and farm aid to ensure that individual Americans maintained their purchasing power, as well as to stimulate the economy. This was a critical move in the efforts to bring the country out of the Great Depression.
In 1939, President Franklin D. Roosevelt put Keynesian economic theory into practice. He requested billions of dollars in federal funding for work relief and farm aid programs, as a way to maintain the buying power of individual Americans and invigorate the economy. This move proved to be successful and was an important step in the history of Keynesian economics.
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A case manager is completing discharge planning for a client who has alcohol use disorder and cirrhosis of the liver. Which of the following actions should the case manager take first?
a. Contact a social worker to assist the client with managing finances.
b. Provide the client with information on self-help groups for alcohol use disorder.
c. Arrange for a home health nurse to visit the client following discharge.
d. Determine which home safety measures the client needs to impleme
The correct response is c. Arrange for a home health nurse to visit the client following discharge.
WHO defines health as "a condition of complete physical, mental, and social well-being and not only the absence of sickness or disability." Over time, various definitions have served a variety of functions. Encouragement of healthy behaviours, such as consistent exercise and enough sleep, as well as reduction or avoidance of unhealthy behaviours, such as smoking or high levels of stress, can help people live longer and be healthier. Some factors that affect health are caused by individual decisions, such as whether to engage in a high-risk habit, whereas others are caused by structural factors, such as how society is structured and how easy or difficult it is for people to get essential healthcare services.
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Indicate whether the accounts below are used in the cost flow for a manufacturer, a service provider, or both.
Cost of Services Cost of Goods Sold Factory Overhead Finished Goods Materials Overhead Supplies Wages Payable Work in Process
Manufacturer: Cost of Goods Sold, Factory Overhead, Finished Goods, Materials Overhead, Supplies, Work in Process Service Provider: Cost of Services, Wages Payable.
Cost of goods vended (COGS) refers to the direct costs of producing the goods vended by a company. This quantum includes the cost of the accoutrements and labor directly used to produce the good. It excludes circular charges, similar as distribution costs and deals force costs. Cost of goods vended is also appertained to as" cost of deals." COGS is an important metric on the fiscal statements as it's abated from a company’s earnings to determine its gross profit. The gross profit is a profitability measure that evaluates how effective a company is in managing its labor and inventories in the product process. Cost of goods vended( COGS) is the cost of acquiring or manufacturing the products that a company sells during a period, so the only costs included in the measure are those that are directly tied to the product of the products, including the cost of labor, accoutrements , and manufacturing outflow.
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madison corporation sells three products (m, n, and o) in the following mix: 3:1:2. unit price and cost data are: m n o unit sales price $ 13 $ 10 $ 12 unit variable costs 9 8 10 total fixed costs are $342,000. the selling price per composite unit for the current sales mix (rounded to the nearest cent) is:
The selling price per composite unit for the current sales mix of Madison Corporation's products m, n, and o is $11.67.
This is calculated by taking into account the 3:1:2 sales mix, the unit prices and costs of each product, and the total fixed costs of $342,000. The composite unit is a representation of the weighted average of the three products, taking into account the proportion of each product in the overall sales mix. It is determined by dividing the total revenue by the number of composite units sold.
In this case, by using the given information and performing the necessary calculations, we can find the selling price per composite unit to be $11.67.
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One of the current trends in Operations and Supply Chain Management is Sustainable Supply Chain Management, which encourages supply chain managers to consider three bottom lines listed below, except
Environmental Stewardship
Economic prosperity
Quality management
Social respondsibility
Quality control The usage of sustainable supply chain management is not required of supply chain managers. Thus option C is correct.
Consistency is guaranteed through quality management for a company, a product, or a service. Quality planning, quality assurance, quality control, and quality improvement make up its four primary parts. The goal of quality management is to raise the standard of goods and services as well as the manner in which they are provided.
A few of the many sustainability-related variables that must be considered are the sourcing of raw materials, last-mile delivery, product returns, and recycling practices. As firms place a greater and more urgent emphasis on ethical supply chain operations, compliance standards and sustainability benchmarks are becoming more uniform.
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Which of the following would NOT be considered a socially-oriented activity for a firm?
A) ADA adherence
B) minority training
C) corporate giving
D) pollution control
ADA adherence is not a socially oriented activity for a firm.
The Americans with Disabilities Act of 1990 (ADA) forbids discriminating against a qualified person with a handicap in the workplace. Additionally, the ADA prohibits discrimination against people with disabilities in local and state government services, as well as in public places, transportation, and telecommunications.
The section of the ADA that forbids workplace discrimination is explained in this pamphlet. The U.S. Equal Employment Opportunity Commission and affiliated state and local civil rights enforcement organizations work together to enforce this section of the law.
Qualified people with impairments are shielded from job discrimination by Title I of the ADA. A person has a disability under the ADA if their physical or mental condition significantly impairs one or more important facets of their daily lives. Both people with a history of a significantly limiting impairment and those who are believed to have one are protected under the ADA.
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adopt the position of either a railroad magnate or a native american representative. if you are the railroad magnate, explain why laying track through native american territory in the american west is a good idea. if you are the native american representative, explain why railroad construction should not go through native american territory in the american west. remember, your focus here is on indian removal and westward expansion after the civil war, not prior (i.e., not the trail of tears or the cotton plantation economy).
The Cherokee, Choctaw, Muscogee (Creek), Chickasaw, and Seminole tribes were driven from their ancestral lands by the Trail of Tears, which prevented white Americans from expanding westward.
What caused the Trail of Tears and the Indian Removal Act?
The Five Civilized Tribes in the Southeast were specifically targeted by the Indian Removal Act of 1830, which was the impetus for the Trail of Tears. The Federal Government negotiated treaties to free up Indian-occupied land for white settlers, as mandated by the Indian Removal Act.
Was part of the westward expansion the Indian Removal Act?
Westward Expansion In the 1810s, a significant movement toward the west coast of North America began. Economic promise, federally issued Indian removal acts, and the belief in manifest destiny all contributed to its intensification. Utilizing a system of westbound trails, pioneers made their way to Oregon and California.
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state and interpret the components of the national fire protection association hazardous material labeling system.
In the event of a fire or other emergency, the NFPA is a fire protection danger warning system designed to provide emergency responders with immediate information on materials. This labeling system was designed by the National Fire Protection Association.
Blue Diamond: The blue diamond on the left side of the NFPA label serves as a consumer health risk alert. The more precautions that need to be taken when handling the chemical or handling an emergency, the higher the number.
Red Diamond: The red diamond at the top of the NFPA label is the fire diamond. A four denotes a substance that is extremely flammable, while a zero denotes a chemical that cannot burn. One of two groups will include the bulk of chemicals.
Yellow Diamond: Readers are informed of the chemical's level of stability by the yellow diamond on the right side of the NFPA label. It should be noted that this section of the NFPA diamond label contains no information about the causes of a chemical's instability.
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the fish in the private creek are considered and whereas the fish in the lake are and . in other words, the fish in the private creek are an example of , and the fish in the lake are an example of . fishing in the lake will likely lead to because of which of the following reasons? anyone can fish in the lake, and one person's fishing activity decreases the ability of someone else to fish with success. all fishermen will choose to fish in the lake because of the limited access to the creek. nobody will enjoy fishing because of the lack of private contributions to the maintenance of the lake. all fishermen will choose to fish in the creek believing that there are more fish there.
The correct answer is option (1) Anyone can fish in the river, and one's person's fishing activity decreases the ability of someone else to fish with success.
What is fishing in river and fishing in the private creek?While the fish in the private stream is rival in consumption and excludable, the fish in the river are regarded as non-excludable and rival in consumption.
In other words, fish in the river serves as an illustration of a shared resource, whereas fish in a private stream serves as an illustration of a personal good.
Because anybody can fish in the river and one person's fishing activity reduces another person's chances of fishing successfully, fishing in the river is likely to result in the tragedy of the commons.
What is the tragedy of the commons?A condition known as the tragedy of the commons occurs when people who have access to a shared resource, also known as a common, act selfishly and finally deplete the resource. In 1833, British author William Forster Lloyd created this economic theory.
The number of users who desire to consume the common issue, the consumptiveness of their uses, and the relative resilience of the common all play major roles in determining the rate of resource depletion.
While the fish in the private stream is rival in consumption and excluded by nature, the fish in the river are non-excludable and rival in consumption. In other terms, a common resource might be fish in a river.
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Apple introduced the iPad tablet in the year of
Answer:
SAN FRANCISCO—January 27, 2010—Apple® today introduced iPad, a revolutionary device for browsing the web, reading and sending email, enjoying photos, watching videos, listening to music, playing games, reading e-books and much more
Which of the following is not a technique to represent the findings of the requirements gathering process?A. Working prototypeB. Hierarchical Task AnalysisC. User personaD. Scnario
B. Hierarchical Task Analysis of the following is not a technique to represent the findings of the requirements gathering process
How can task analysis assist with user interface design?The elements of the interface that are most crucial for the user's duties may be found with the use of a task analysis. An extra analysis of how the job would be completed using the suggested interface can be added to the first task analysis once it has been built and is undergoing review.
Studying users' objectives and duties is a crucial step in the design process. When designers do task analyses, they are well-equipped to develop goods and services that fulfill users' expectations and assist users in quickly and effectively achieving their objectives.
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fourlotts inc. is a renowned technological firm. it manages many strategic business units (sbus) in which each sbu:
Fourlotts Inc. is a renowned technological firm, it manages many strategic business units (SBUs) in which each SBU: has its own return on investment.
What is strategic business units?An SBU, or strategic business unit, is a fully operational part of a company with its own mission and goals. A strategic business unit is typically run independently, but it is also an essential component of the corporation. It informs the administrative center of its functioning condition.
Despite operating as a separate company, a strategic business unit (SBU) is required to report on its operations to the organization's head office. It's independent, target-market-focused, and runs on its own. It's large enough to have its own administrative departments, including those for human resources and training. The existence of an SBU has numerous advantages.
For businesses with a variety of product structures, this theory works well. Companies like Proctor & Gamble, LG, and other SBU examples are the best examples. Under one roof, these businesses offer a variety of product categories. One company that produces consumer durables is LG.
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which of the following is an important consideration when developing product extensions in the travel and tourism industry:
There are many significant factors to consider while creating product extensions for the travel and tourist sector.
List consideration when developing product extensions in the travel and tourism industry:Seasonality: It is crucial to take the tourist industry seasonality into account when developing products that will draw clients at various periods of the year.Cost and profitability: It's critical to take into account the costs involved in creating and releasing product extensions as well as their potential long-term profitability.Local rules and regulations: Because the travel and tourism sector is so extensively regulated, it is crucial to take into account any local laws and regulations that may be relevant to the product extension and make sure that it complies with them.Sustainability: Because the travel and tourism sector has an effect on the environment, it's crucial to take sustainability into account when creatingTo know more about Travel visit:
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T/F definitions of a firm's mission as well as its marketing and financial objectives are included in the marketing strategy section of the marketing plan.
Definitions of a firm's mission as well as its marketing and financial objectives are included in the marketing strategy section of the marketing plan.
The statement is true
In addition to encouraging employees to find creative ways to move toward increasing their productivity with an eye toward achieving company goals, mission statements serve the dual purpose of assisting staff in staying focused on the tasks at hand.The mission statement of an organization identifies its culture, values, ethical standards, core objectives, and agenda. It also describes how each of these impacts the company's stakeholders, including its staff, distributors, suppliers, shareholders, and the general public. By using this statement, these entities can match their objectives with those of the company. The company's mission statement outlines what it does, how it does it, and why it does it. The mission statement can be used by potential investors to determine whether the company's values coincide with their own.To know more about firm here
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Most SBUs simultaneously pursue different competitive strategies across all product-markets in which they compete.TRUE OR FALSE
Most SBUs do not pursue different competitive approaches across all product markets in which they contest. The given argument is False.
Every SBU should have the following characteristics: a unique business, control over its resources, a unique mission and target market, its own competitors, and autonomous business plans from those of other SBUs within the company.
The SBU in charge of a product's marketing establishes a distinct vision, direction, and mission. Examples of strategic business units show how these divisions function as distinct, specialized entities focused on a certain objective. Compared to the parent corporation, we have different objectives.
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if a firefighter told you to leave your apartment, you would comply because the firefighter has power. question 7 options: legitimate coercive referent reward
You would leave your residence if a firefighter ordered you to do so because the firefighter has
What does moral influence and leadership entail?Legitimate authority derives from one's organizational position or job. A manager can assign assignments, a police officer can detain a person, and a teacher can determine grades, for instance.
Who is legitimately in charge?Possessing legitimate power in an organization comes from holding a leadership position, such as being the boss or an important member of a leadership team. Employees in the organization must acknowledge the individual's authority in order for them to have this power.
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which of the following statements does not an understatement of the ending inventory in year 1, if not corrected, will cause which of the following?
An understatement of the ending inventory in Year 1, if not corrected, will cause the year 1 net income to be understated and Year 2 net income to be overstated.
If not properly addressed, an understatement of the ending inventory in Year 1 will have a ripple effect on both the net income of Year 1 and Year 2. Year 1's net income will be understated and Year 2's net income will be overstated as a result of this discrepancy.
As such, it is important to correct the understatement of the ending inventory to ensure that financial reports are accurate and trustworthy. Doing so will allow the company to produce accurate and reliable financial reports and prevent potential problems in the future.
Hence, the correct option is "A".
-------The given question is incomplete, the complete question is:
"An understatement of the ending inventory in Year 1, if not corrected, will cause which of the following?
A. The year 1 net income to be understated and Year 2 net income to be overstated.
B. The year 1 net income to be overstated and Year 2 net income to be overstated.
C. The year 1 net income to be overstated and Year 2 net income will be correct.
D. The year 1 net income to be overstated and Year 2 net income to be understated."--------
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a car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. the truck has a constant acceleration of 2.10 m>s2, and the car has an acceleration of 3.40 m>s2. the car overtakes the truck after the truck has moved 60.0 m. (a) how much time does it take the car to overtake the truck? (b) how far was the car behind the truck initially? (c) what is the speed of each when they are abreast? (d) on a single graph, sketch the position of each vehicle as a function of time. take x
Each travels at a speed of 25.865 m/s while passing the other.
What is a constant acceleration?The term "acceleration" refers to how quickly a particle's velocity changes with relation to time. Constant acceleration is the term used when a particle's velocity changes at a fixed pace.It is true that a = v v 0 t. We can deduce from this that, for a fixed period of time, if the difference between the starting and final velocities is small, the acceleration is modest and approaches zero in the limit where the initial and final velocities are identical. Let's look at an example of a particle travelling in a uniform circular motion; it experiences acceleration because the motion's direction is changing, but it maintains a constant speed along the tangential throughout the motion.(a) After t sec the truck moved
[tex]$& \mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}^2 \\[/tex]
[tex]$& \text { Initial velocityu }=0 \\[/tex]
[tex]$& 60=\frac{1}{2} \times 2.20 \times \mathrm{t}^2 \\[/tex]
[tex]$& \mathrm{t}^2=54.54 \\[/tex]
[tex]$& \mathrm{t}=7.39 \mathrm{sec}[/tex]
(b) Let the distance be d meters
When they met, automobile moved
[tex]$& 60+d=\frac{1}{2} \times 3.50 \times t^2 \\[/tex]
[tex]$& 60+d=\frac{1}{2} \times 3.50 \times 7.39^2 \\[/tex]
60 + d = 95.57
d = 95.57 - 60
d = 35.57 m
(c) Velocity of truck
[tex]$& \mathrm{v}_{\mathrm{T}}=\mathrm{u}+\mathrm{at} \\[/tex]
[tex]$& \mathrm{v}_{\mathrm{T}}=2.20 \times 7.39=16.258 \mathrm{~m} / \mathrm{s}[/tex]
Velocity of automobile
[tex]$& \mathrm{v}_{\mathrm{A}}=\mathrm{u}+\mathrm{at} \\[/tex]
[tex]$& \mathrm{v}_{\mathrm{A}}=3.50 \times 7.39=25.865 \mathrm{~m} / \mathrm{s}[/tex]
The complete question is:
An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. Then truck has a constant acceleration of 2.2 m/s² and the automobile has an acceleration of 3.5 m/s². The automobile overtakes the truck when it (truck) has moved 60 m.
(a) How much time does it take to automobile to overtake the truck?
(b) How far was the automobile behind the truck initially?
(c) What is the speed of each during overtaking?
To learn more about constant acceleration, refer to:
https://brainly.com/question/24293566
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