It looks like this issue will take you 8 hours to address. What is your next step? Rate the effectiveness of each response option by dragging the item into the bins below. Each bin can hold multiple items.A Find a colleague who has some capacity to help you with the product proposal. B Develop options for prioritization and ask your team lead which they would prefer. C Ask your team lead for prioritization between the product proposal and the director's issue. D Deprioritize your work on the product proposal and focus your effort on the director's issue.

Yes, the range of gross pay values seem reasonable. The lowest pay is approximately $26,000 starting salary, and the highest is around $91,000. This range appears to be reasonable for factory work, as it takes into account the different roles and responsibilities within the workplace.

"No. Supervisors should not make what assemblers make." This suggests that the range of gross pay values is not reasonable because the salaries for supervisors and assemblers are not appropriately differentiated. Without knowing the specific numbers, it's hard to say whether this is accurate, but it does suggest that the range may not be reasonable.

"Yes. It is expected that assemblers will earn more than supervisors." This suggests that the range of gross pay values is reasonable, as it aligns with expectations that assemblers will earn more than supervisors. However, as with the previous option, it's hard to say for certain without knowing the specific numbers.

"Yes. The lowest pay is about $26,000 starting salary, and the highest $91,000. This seems reasonable for factory work." This suggests that the range of gross pay values is reasonable based on the fact that the lowest and highest salaries fall within a reasonable range for factory work. However, it's worth noting that what's considered "reasonable" can vary based on factors such as location, cost of living, and industry standards.

"No. The lowest pay is about $26,000. That is below the poverty line." This suggests that the range of gross pay values is not reasonable based on the fact that the lowest salary falls below the poverty line. This could be an indication that the company is not paying employees fairly or providing adequate compensation for the work being done.

Overall, it's difficult to make a definitive statement about the reasonableness of the gross pay values without more specific information. However, these different perspectives provide some insight into the factors that could be considered when evaluating whether the range of pay values is reasonable.

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The Child and Dependent Care credit helps/comes in hand the taxpayers pay the cost of providing care for dependents, so that taxpayers can work.

The Child and Dependent Care Credit may allow many parents who pay for child care to obtain a tax break. Although the credit is meant for working parents or guardians, it may also be available to taxpayers who were full-time students or unemployed for a portion of the year.

You might be eligible for a tax credit on your 2022 taxes of up to 35% of the following if you paid a daycare centre, babysitter, summer camp, or other care provider to look after a qualifying dependent under the age of 13 or a qualifying dependent who is disabled of any age:

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a. Debit: Cash - $41,000 Credit: Common Stock - $1,130 b. Debit: Equipment - $8,500 Cash - $1,300 Credit: Notes Payable - $7,200 c. Debit: Cash - $6,000 Credit: Notes Payable - $6,000 d. Debit: Notes Receivable - $1,400 Credit: Cash - $1,400 e. Debit: Land - $15,000 Cash - $8,000 Credit: Mortgage Payable - $7,000.

a. Received investment of $41,000 cash by organizers and distributed 1,130 shares of $1 par value common stock to them.

Journal Entry:
1. Debit: Cash (41,000)
  Credit: Common Stock (1,130)
  Credit: Paid-in Capital in Excess of Par (39,870)

b. Purchased $8,500 of equipment, paying $1,300 in cash and signing a note for the rest.

Journal Entry:
1. Debit: Equipment (8,500)
  Credit: Cash (1,300)
  Credit: Notes Payable (7,200)

c. Borrowed $6,000 cash from a bank

Journal Entry:
1. Debit: Cash (6,000)
  Credit: Notes Payable (6,000)

d. Loaned $1,400 to an employee who signed a note.

Journal Entry:
1. Debit: Notes Receivable (1,400)
  Credit: Cash (1,400)

e. Purchased $15,000 of land; paid $8,000 in cash and signed a mortgage note for the balance.

Journal Entry:
1. Debit: Land (15,000)
  Credit: Cash (8,000)
  Credit: Mortgage Payable (7,000)

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The type of tax paid by businesses on their profits to federal or state governments is called corporate income tax.

Corporate income tax is a tax levied on the profits earned by businesses, including corporations, partnerships, and certain types of sole proprietorships. It is imposed by both federal and state governments and is based on the net income or profits generated by the business during a given tax year.

Businesses are required to calculate their taxable income by deducting allowable expenses and deductions from their total revenue. The tax rate applied to the taxable income varies depending on the jurisdiction and can differ between federal and state levels.

Corporate income tax serves as a significant source of revenue for governments, helping fund public services, infrastructure development, and other governmental functions. The tax is typically administered by tax authorities, who establish guidelines and regulations for businesses to comply with regarding the calculation and payment of corporate income tax. Overall, corporate income tax is the specific type of tax paid by businesses on their profits to federal or state governments, playing a crucial role in funding government operations and services.

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True. The FOMC (Federal Open Market Committee) is indeed an element of the Federal Reserve System.

The Federal Reserve System is the central banking system of the United States, responsible for conducting monetary policy and regulating the banking industry. The FOMC is a key component of the Federal Reserve System. It consists of members from the Board of Governors of the Federal Reserve System and regional Reserve Bank presidents.

The FOMC is responsible for making decisions regarding monetary policy, such as setting the target federal funds rate and implementing open market operations. Its primary objective is to promote price stability and support sustainable economic growth. Therefore, the statement that the FOMC is an element of the Federal Reserve System is accurate.

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False. Selling a site where hazardous wastes were disposed of does not relieve the seller of liability for the cleanup.

The Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA) of 1980, commonly known as the Superfund, imposes strict liability on current and former owners and operators of contaminated sites, regardless of fault or the legality of the disposal. In other words, if hazardous waste was disposed of at a site, any owner or operator who contributed to the contamination can be held responsible for the cleanup costs.

There are some limited exceptions to this liability, such as the "innocent landowner" defense, which can relieve an owner of liability if they did not know and had no reason to know about the contamination at the time of purchase. However, this defense is difficult to prove and may not be available in all cases.

Therefore, it is important for any potential buyer of a site where hazardous waste was disposed of to conduct thorough due diligence and assess the potential liability for cleanup costs before purchasing the property.

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The possible reason for the lack of significant change in production despite Alissa's memo could be that her message did not set a clear and specific production target.

While Alissa instructed the workers to increase the number of units packed each hour, she may have failed to provide a specific goal or target that the employees could work towards. Without a clear and measurable objective, it becomes difficult for the workers to gauge their progress and understand the desired level of productivity.

Furthermore, it's important for communication to be concise and easily understandable. If Alissa's message was too lengthy or complicated, the workers may have had difficulty grasping the expectations. Additionally, if Alissa did not explain the pressure she was under or failed to convey the importance of increased production, the workers may have lacked motivation or understanding of the urgency behind the request.

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Sta-rbucks has a set of core values that are reflected in its mission statement. The company's values include a dedication to ethical sourcing of coffee, operating the business in an ethical and socially responsible manner, and a strong commitment to superior customer service and high values of customer satisfaction.

St-arbucks has a mission statement that hints at the company's core values. Although the company does not formally have a statement of core values, it is clear that Starbu-cks values ethical sourcing of coffee. The company is committed to operating in an ethical and socially responsible manner, and it places a strong emphasis on providing superior customer service and high values of customer satisfaction.

Sta-rbucks is also committed to making Starbu-cks a great place to work. The company's values are reflected in its employee performance standards, which tie employee performance to the company strategy. Employees who do not meet the high-performance standards are fired. Sta-rbucks also has a decentralized decision-making company structure, which means that decision-making is not centralized but is instead distributed among different levels of management.

Although Sta-rbucks is focused on growth and profits, the company is not becoming too focused on these things and is still committed to its values. The company's focus on innovation has not led to a loss of identity, and customers can still enjoy a cup of coffee without interruptions. Overall, Starb-ucks' values are reflected in the way the company conducts its business and are aligned with its present strategy.

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An open market operation occurs when the central bank, such as the Federal Reserve in the United States, buys or sells government bonds in the open market. C is the correct answer.

This action is taken to influence the money supply and interest rates in the economy. Option C, "the fed buys or sells government bonds," correctly describes an open market operation. By buying government bonds, the central bank injects money into the economy, increasing the money supply and lowering interest rates. Conversely, selling government bonds reduces the money supply and raises interest rates.

Options A, B, and D do not accurately describe open market operations. Option A refers to regulatory enforcement, option B describes interbank lending, and option D relates to changes in reserve requirements.

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In personal selling, the prospecting stage is the search for and qualification of potential customers.

This stage involves identifying individuals or organizations who may have an interest in the product or service being sold and evaluating their suitability as potential customers. The goal is to find prospects who are likely to be interested in making a purchase and have the ability to do so.

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The price of this preferred stock is  $50. The correct answer is option (b).

The price of a share of perpetual preferred stock can be calculated using the formula: Price = Dividend / Required rate of return.

In this case, the annual dividend is $6 per share and the required rate of return is 12 percent. So, the price of the preferred stock would be:

Price = $6 / 0.12 = $50, which corresponds to option (b).

Investors would be willing to pay $50 per share of this preferred stock, given the dividend payment of $6 and the required rate of return of 12 percent. If the price of the preferred stock was higher than $50, then the effective rate of return would be lower than 12 percent, and investors would not find it attractive. Conversely, if the price was lower than $50, then the effective rate of return would be higher than 12 percent, and investors would find it more attractive.

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Overall, adopting these practices can help you build strong business relationships and ultimately grow your business. Remember, it's not just about what others can do for you, but what you can do for them as well.

BNI or Business Networking International is a global organization that aims to help businesses grow by fostering strong relationships through networking. Here are three things that BNI does that you could adopt to help build business relationships:
1. Regular Meetings and Referral System - BNI hosts weekly or bi-weekly meetings for its members to network, share business leads, and learn from each other. This consistent meeting schedule builds a sense of community and trust among members, which ultimately leads to more business referrals. You could also adopt a similar meeting schedule with your business contacts or partners and create a referral system to help each other grow.
2. Focus on Building Strong Relationships - BNI places a strong emphasis on building long-lasting relationships with members. They encourage members to get to know each other beyond just their business needs, creating a more personal connection. Adopting a similar approach in your business relationships can lead to a more meaningful and productive partnership.
3. Utilize Technology - BNI uses a mobile app to help members connect with each other, share referrals, and stay updated on meetings and events. By leveraging technology, you can streamline communication with your business partners and stay connected even when you're not physically present.
By giving value and building trust, you can create a strong network of support and growth for your business.

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True. The prisoner's dilemma is a classic game theory scenario in which two individuals must choose whether to cooperate or defect, with the outcome depending on the choices of both players.

This concept can be applied to a wide range of situations, including those mentioned such as the arms race and the need for speed limit laws. In the case of the arms race, both countries may be better off if they cooperate and disarm, but there is always the risk that one country will defect and take advantage of the other's disarmament. Similarly, in the case of speed limit laws, if everyone follows the law and drives at a safe speed, everyone benefits. However, if some individuals choose to speed, they may arrive at their destination faster but also put themselves and others at risk. By using the prisoner's dilemma to analyze these situations, policymakers can better understand the incentives and potential outcomes of different choices and make more informed decisions. It is important to note, however, that while the prisoner's dilemma can provide useful insights, it is not a perfect model and may not always accurately reflect real-world behavior.

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True. The vertical distance between a firm's average total cost (ATC) and average variable cost (AVC) curves tends to decrease as output increases.

As output increases, the vertical distance between the ATC and AVC curves typically narrows. This trend occurs because the average fixed cost (AFC) component of ATC decreases as output increases. AFC is spread over a larger quantity of output, causing it to decline. Since AVC includes only variable costs (costs that vary with the level of output), which typically increase with output, the gap between ATC and AVC reduces.

Initially, at lower levels of output, the fixed cost component (AFC) dominates the total cost, leading to a larger difference between ATC and AVC. However, as output rises, the AFC component becomes less significant in proportion to the variable cost component (AVC). Consequently, the vertical distance between ATC and AVC decreases, reflecting a narrowing gap between the two curves.

This relationship is consistent with the concept of economies of scale. As a firm experiences economies of scale, it benefits from spreading fixed costs over a larger output, resulting in lower average costs. Thus, the vertical distance between the ATC and AVC curves generally decreases as output increases.

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Sonja, as a recent college graduate who has just started a job in her chosen field, can benefit greatly from building professional relationships with individuals in her industry. Networking and forming connections with peers, colleagues, and mentors can help her career progress significantly.

The most likely relationship that will benefit her career progress is the one she establishes with a mentor or a senior-level professional in her field. A mentor is someone who has extensive experience and knowledge in the industry and can guide and advise Sonja as she navigates her career. They can offer insights on career development, share industry-specific knowledge, and provide support and encouragement. Having a mentor also provides Sonja with a valuable opportunity to learn from someone who has already achieved success in her field. This can help her avoid making common mistakes, make better decisions, and accelerate her career progress. Having a mentor can also open doors to new opportunities and expand Sonja's network.

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This statement can be true or false depending on the context and the time frame in which the determination was made.

The prime rate is a benchmark interest rate used by banks to set the interest rates for their loans and other financial products.

It is generally determined by the Federal Reserve, but can vary among different banks and financial institutions.

If the determination was made by a bank and is current as of today's date (May 5th, 2023), then it could be true or false depending on the bank's specific prime rate.

However, if the determination was made in the past, then it may no longer be accurate as the prime rate can change over time.

Therefore, additional context is needed to determine the accuracy of this statement.

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A healthy expanding company would most likely show a positive cash flow from investing activities.

Cash flow from investing activities is a section in the statement of cash flows that records the cash flows related to the purchase or sale of long-term assets, such as property, plant, and equipment, and investments in other companies. A positive cash flow from investing activities indicates that a company is generating more cash from its investments than it is using to acquire or dispose of assets.

For a healthy expanding company, it is common to see a positive cash flow from investing activities. This is because such companies often invest in new equipment, technologies, facilities, and acquisitions to support their growth and expansion initiatives. These investments are aimed at enhancing the company's competitive position, increasing production capacity, expanding into new markets, or diversifying its product offerings.

Positive cash flow from investing activities signifies that the company is effectively utilizing its resources to make strategic investments that have the potential to generate future returns. It indicates that the company is actively pursuing growth opportunities and making sound investment decisions. This positive cash flow demonstrates the company's ability to fund its expansion plans, strengthen its operations, and position itself for long-term success.

In summary, a healthy expanding company is likely to exhibit a positive cash flow from investing activities as it actively invests in its future growth and expansion through strategic acquisitions and capital expenditures.

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The difficulty faced by policymakers who wish to use the unemployment rate as a guide to whether the economy is weak or strong is that the impact of policy on the economy is subject to long and variable lags. Option A.

This means that even if policymakers implement policies to reduce unemployment, it may take a long time for the effects to be felt and the unemployment rate to decrease.

Additionally, policymakers must use data output to tell whether the unemployment rate is too high or too low, which can be difficult to accurately measure.

Furthermore, the natural rate of unemployment, which is the rate of unemployment that exists when the economy is at full employment, is hard to measure and almost never changes.

Therefore, policymakers must be cautious when using the unemployment rate as the sole indicator of the health of the economy.
Hence, the right answer is option A.

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The net present value of the project is positive, and the project should be accepted.

For the first question, to find the internal rate of return of the project, we can use the following formula: NPV = 0 = -Initial Cost + CF1/(1+IRR)^1 + CF2/(1+IRR)^2 + ... + CF8/(1+IRR)^8. Using trial and error or a financial calculator, we find that the project's internal rate of return is 17.05%.

For the second question, we can calculate the project's operating cash flow using the formula: OCF = (Sales - Variable Costs - Fixed Costs - Depreciation) x (1 - Tax Rate) + Depreciation. Plugging in the given values, we get:

OCF = ($229,050 - $184,290 - $76,000 - $33,000) x (1 - 0.35) + $33,000 = $46,858.

For the third question, we need to calculate the initial outflow, operating cash flows, and terminal cash flow to find the net present value (NPV) of the project. The initial outflow is the cost of the molding machine minus the change in net working capital, which is $261,000 - ($19,200 + $22,600 - $16,200) = $248,800. The operating cash flows are the annual cash flows plus the salvage value, which is $59,000 + $56,000 = $115,000.

Using the NPV formula, we get:

NPV = -$248,800 + $115,000/(1+0.104)^1 + $115,000/(1+0.104)^2 + ... + $115,000/(1+0.104)^7 + $56,000/(1+0.104)^7 = $36,473.

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The current ratio for a company is a measure of its ability to pay off short-term liabilities with its current assets. To calculate the current ratio, we divide the company's current assets by its current liabilities.

Using the information provided, we can calculate the current ratio as follows:
Current assets = Cash + Accounts receivable + Inventory + Buildings
= $90,000 + $110,000 + $81,000 + $18,000
= $299,000
Current liabilities = Accounts payable + Current portion of long-term debt
= $75,000 + $130,000
= $205,000
Current ratio = Current assets / Current liabilities
= $299,000 / $205,000
= 1.46
Therefore, the current ratio for the company is not one of the options provided. The closest option is 1.52, but it is still not the correct answer.
In conclusion, the current ratio is a key financial ratio that helps investors and creditors assess a company's liquidity position. In this case, the company has a current ratio of 1.46, which indicates that it may have some difficulty in meeting its short-term obligations.

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The deconsolidation process most commonly occurs when a parent company decides to spin off a business division. Opion D is correct answer.

This means that the parent company separates a portion of its operations into a separate entity, making it independent and no longer a part of the parent company's consolidated financial statements. This process is often done to create a separate entity that can operate independently, allowing the parent company to focus on its core business or to unlock the value of the spun-off division.

Option D is the correct answer because it accurately describes the circumstances under which the deconsolidation process typically occurs. While options A, B, and C may involve changes or reclassification of financial information, they do not specifically refer to the process of deconsolidation where a parent company separates a business division from its consolidated financial statements.

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An economy which uses a combination of government directives and market mechanisms to determine economic outcomes is called a mixed economy.

A mixed economy combines elements of both planned (command) and market-based economic systems. In a mixed economy, the government plays a significant role in regulating and influencing economic activities, while also allowing market forces to operate. This blend of government intervention and market mechanisms aims to achieve a balance between social welfare and individual freedom, as well as economic efficiency.

In a mixed economy, the government may set regulations, policies, and guidelines to guide economic activities, such as labor laws, environmental regulations, and consumer protection measures. It may also intervene in specific sectors through direct ownership or control, strategic planning, subsidies, or taxes. At the same time, market mechanisms, such as supply and demand, competition, and price signals, continue to play a role in resource allocation and the functioning of markets.

The degree of government intervention and market influence can vary across different mixed economies, with some leaning more towards a market-oriented approach (e.g., free-market capitalism with limited government intervention) and others leaning more towards a planned economy approach (e.g., state socialism with significant government control).

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The joinder provision in AIA ARE5.0 refers to the ability to join multiple parties in a single arbitration. It allows for greater efficiency in resolving disputes as opposed to having separate arbitrations for each party.

The joinder provision in AIA ARE5.0 is an important tool in dispute resolution. It allows multiple parties to be joined in a single arbitration, which can lead to greater efficiency and cost savings compared to separate arbitrations for each party. This provision is particularly useful in situations where the parties are involved in a common dispute or transaction, as it can help to streamline the arbitration process and avoid inconsistent rulings.

For example, if two parties are involved in a construction dispute and a third party becomes involved in the same dispute, the joinder provision in AIA ARE5.0 would allow all three parties to be joined in a single arbitration. This would prevent the need for separate arbitrations and reduce the time and costs associated with the dispute resolution process.

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Someone's preference for a safe, salaried, government job over a risky entrepreneurial career could be explained by several factors, including risk tolerance, ambiguity aversion, and the authority heuristic.

Individuals who are risk-averse may prefer the stability and security of a government job with a guaranteed salary, benefits, and job security, as opposed to the uncertainty and unpredictability of starting a business.

Similarly, individuals who are averse to ambiguity may prefer the clear structure and hierarchy of a government job, where roles and responsibilities are well-defined, as opposed to the ambiguity and lack of structure inherent in starting a new business.

Additionally, the bandwagon effect may play a role in someone's decision to pursue a government job. If a particular profession or career path is perceived as prestigious or desirable, individuals may be more likely to follow the crowd and pursue that path, rather than taking a risk and pursuing something different.

Finally, the authority heuristic may influence someone's decision to pursue a government job, as individuals may place more trust in established institutions and government agencies, as opposed to new or untested businesses. Overall, a variety of factors can explain someone's preference for a safe, salaried, government job over a risky entrepreneurial career.

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The action of a registered representative using his home e-mail account to send information and recommendations to customers is generally considered a violation of industry regulations and policies.

Financial professionals, including registered representatives, are typically required to use approved and monitored communication channels provided by their employer or a licensed platform.

This ensures compliance with regulatory requirements, protects customer information, and enables proper record-keeping and supervision by the firm. Using personal e-mail accounts for business purposes can raise concerns regarding data security, privacy, and potential conflicts of interest. It is important for registered representatives to follow the guidelines and policies set by their firm and regulatory authorities to maintain professionalism and adhere to industry standards.

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FALSE is "If both buyers and sellers expect the price to fall next period, the price would rise in the current period."

This statement is a misapplication of the law of supply and demand, which states that an increase in demand or a decrease in supply will lead to a higher price, while a decrease in demand or an increase in supply will lead to a lower price. If both buyers and sellers expect the price to fall next period, this would lead to a decrease in demand and an increase in supply, which should lead to a lower price. Therefore, the statement is false.

The other statements are true. The analysis of how enforcing rent control in San Francisco affects the availability of rented accommodations in that city is principally a topic in microeconomics, which studies the behavior of individuals, firms, and markets. The opportunity cost of a decision is the value of the next best alternative that must be forgone as a result of choosing a particular course of action. According to Professor Lionel Robbins, an economic problem arises when there are multiple ends that can be ranked in order of importance and limited means that can be applied to more than one end. Some economic historians assert that inventive genius spurred the Industrial Revolution, and this explanation embodies the idea that technological progress is exogenous and economic development is endogenous.

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The average unit product cost using full costing would be $9.70. Therefore, the correct option is B.

To calculate the average unit product cost using full costing, we need to consider both variable and fixed manufacturing costs.

1: Calculate the variable cost per unit.

Direct materials: $2.65/unit

Direct labor: $1.80/unit

Variable manufacturing overhead: $3.25/unit

Total variable cost per unit: $2.65 + $1.80 + $3.25 = $7.70/unit

2: Calculate the fixed manufacturing overhead cost per unit.

Fixed manufacturing overhead: $94,000

To calculate the fixed cost per unit, divide the total fixed cost by the number of units manufactured:

Fixed cost per unit: $94,000 / 47,000 units = $2.00/unit

3: Calculate the full cost per unit.

Full cost per unit = Variable cost per unit + Fixed cost per unit

Full cost per unit = $7.70 + $2.00 = $9.70/unit

The average unit product cost is $9.70, which corresponds to option B.

Note: The question is incomplete. The complete question probably is: The Crider Company experienced the following costs in 2007: Direct materials $2.65/unit Direct labor $1.80/unit Variable manufacturing overhead $3.25/unit Variable selling $1.15/unit Fixed manufacturing overhead $94,000 Fixed selling $35,000 Fixed administrative $10,000 During the year the company manufactured 47,000 units and sold 40,000 units. The average unit product cost using full costing would be: A $7.70. B $9.70. C $8.85. D $10.85.

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The difference between the fair value of the new equipment and the book value of the old equipment is recorded as a gain in the income statement.

Here are the journal entries for the exchange of laser equipment by Arizona Pharmaceuticals: Record the disposal of old equipment:

Debit: Accumulated depreciation $x

Debit: Equipment (book value) $70,000

Credit: Equipment (book value) $70,000

Record the acquisition of new equipment:

Debit: New equipment $165,000 ($75,000 fair value + $90,000 cash given)

Credit: Accumulated depreciation $x

Credit: Equipment (book value) $70,000

Credit: Cash $90,000

Note that the accumulated depreciation account is used to adjust the value of the old equipment to its book value at the time of disposal.

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The quantity demanded if a price ceiling is set at $2,000, given demand and supply for the used cars, is 94,186.

To find the quantity demanded if a price ceiling is set at $2,000, we need to set the price equal to the price ceiling and solve for Qd:
2,000 = 154,000 - 86Qd
152,000 = 86Qd
Qd = 1,767.44

However, since a price ceiling is a maximum price that can be charged, it must be below the equilibrium price for it to have any effect. In this case, the equilibrium price is found by setting Qd = Qs:
154,000 - 86P = -100 + 14P
240P = 154,100
P = $642.92
Since the price ceiling of $2,000 is above the equilibrium price of $642.92, it will not have any effect on the market. Therefore, the quantity demanded will be the same as the equilibrium quantity, which is:
Qd = Qs = 154,000 - 86(642.92) = 94,186.48 ≈ 94,186.

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a. What is λ is the arrival rate of customers and μ is the the service rate.

b. The average number of customers in the system is 0.9 customers.

c. The average time in the waiting line is 4.5 minutes.

d. The probability that there is one person waiting is 24%.

e. The probability an arrival will have to wait is 90%.

a. In this problem, λ represents the arrival rate of customers and μ represents the service rate. Since customers arrive at a rate of 12 per hour, λ = 12. The service times average 3 minutes, so the service rate is 1 customer per 3 minutes, or 20 customers per hour. Therefore, μ = 20.

b. The average number of customers in the system (L) can be calculated using the formula:

L = λ² / (μ(μ - λ)).

Plugging in the values, L = (12²) / (20(20 - 12)) = 144 / 160 = 0.9 customers.

c. The average time a customer spends in the waiting line (W) can be calculated using the formula:

W = L / λ.

So, W = 0.9 / 12 = 0.075 hours, which is equivalent to 4.5 minutes.

d. To find the probability that there is one person waiting (P1), we use the formula:

P1 = (λ/μ) * (1 - (λ/μ)) = (12/20) * (1 - (12/20)) = 0.6 * 0.4 = 0.24, or 24%.

e. The probability that an arrival will have to wait (Pw) can be calculated using the formula:

Pw = λ² / μ(μ - λ) = 144 / (20 * 8) = 144 / 160 = 0.9, or 90%.

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