The sales volume variance is $3,000 indicating a favorable outcome as actual sales exceeded the budgeted sales. Here option A is the correct answer.
The sales volume variance measures the difference between the actual number of units sold and the budgeted number of units sold, multiplied by the budgeted contribution margin per unit. In this case, the budgeted number of units sold was 1,600, but the actual number of units sold was 1,700.
To calculate the sales volume variance, we can use the formula:
Sales Volume Variance = (Actual Units Sold - Budgeted Units Sold) * Budgeted Contribution Margin
Given:
Actual Units Sold = 1,700 units
Budgeted Units Sold = 1,600 units
Budgeted Contribution Margin = Selling Price - Variable Cost = $30 per unit
Sales Volume Variance = (1,700 - 1,600) * $30
= 100 * $30
= $3,000 (A)
Therefore, the sales volume variance is $3,000 (A), meaning it is favorable since actual sales exceeded the budgeted sales.
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Under the Code, a copy of an offer to purchase must be given to the buyer:
a. promptly¸ but not later than 24 hours after the buyer signed the offer.
b. as soon as convenient for the REALTOR®.
c. upon the buyer signing the offer.
Under the Code, a copy of an offer to purchase must be given to the buyer upon the buyer signing the offer. A promptly, but not later than 24 hours after the buyer signed the offer.
The Code mandates that the buyer be given a copy of the offer to purchase as soon as possible after they have signed it. It is important to provide this document promptly to ensure that the buyer is fully informed and has a chance to review the offer before moving forward.
Option a, which states that the copy must be given to the buyer within 24 hours after they signed the offer, is incorrect. Option b, which states that the copy can be given at the convenience of the REALTOR®, is also incorrect as it does not align with the Code's requirement. Under the Code, a copy of an offer to purchase must be given to the buyer:
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What is the principle behind time value of money?
A. Money tomorrow is worth more than money today
B. Projects with more risk have lower discount rate
C. Cash in and cash out
D. Money today is worth more than money tomorrow
The correct answer is D. Money today is worth more than money tomorrow.
The principle behind the time value of money is that the value of money changes over time due to factors such as inflation, opportunity cost, and risk. Money has the potential to earn interest or be invested, which means that receiving a certain amount of money today is generally more valuable than receiving the same amount of money in the future.
This principle is based on the concept that money can be used to generate returns or to make investments that can increase its value over time. Therefore, having money today allows for more opportunities and flexibility compared to receiving the same amount of money in the future.
It's important to consider the time value of money when making financial decisions, such as investments, loans, or evaluating the profitability of projects. By accounting for the time value of money, individuals and businesses can make more informed decisions that consider the potential impact of inflation, interest rates, and the timing of cash flows.
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No. 1
Assuming that:
Total cost TC = 500 – 4Q + 1.5Q2
Demand P = 96 – 0.5Q
What is the optimum output to maximize profit? What is the profit level?
Hint: TR = P*Q!
No. 2
Assuming that:
Total cost TC = 500 – 4Q + 1.5Q2
Demand P = 96 – 0.5Q
What is the optimum output to maximize profit? What is the profit level?
Hint: TR = P*Q!
•For a monopoly market, compute P if ED = -1.2; -2.0; -3,0, -5 and -10!
•What is your conclusion!
No. 3
Give a real example of a company or companies having a market power and briefly explain the firm’s elasticity of demand
(hint: based on (i) market demand; (ii) the number of firms; and (iii) the interaction among firms)
No. 4
Using a diagram, briefly explain how a monopsonist determines the price and quantity to maximize its benefit/satisfaction!
Expert Answer
The optimum output to maximize profit is determined by finding the quantity where marginal revenue (MR) equals marginal cost (MC). The profit level can be calculated by subtracting total cost from total revenue at the optimum output.
For a monopoly market with different values of price elasticity of demand (ED), the corresponding price can be computed using the demand function. The conclusion can be drawn based on the relationship between elasticity and pricing power.
To determine the optimum output to maximize profit, the monopolist must find the quantity where MR equals MC. MR can be calculated as the derivative of total revenue (TR) with respect to quantity (Q), while MC is the derivative of total cost (TC) with respect to quantity. Setting MR equal to MC and solving for Q gives the optimum output. The profit level can then be calculated by subtracting total cost from total revenue at the optimum output.
For a monopoly market with different values of price elasticity of demand (ED), the corresponding price can be computed by substituting the quantity demanded into the demand function. The relationship between elasticity and pricing power is as follows: if ED is greater than 1, the firm has elastic demand and exercises less pricing power; if ED is less than 1, the firm has inelastic demand and exercises more pricing power. The conclusion can be drawn by analyzing the impact of elasticity on the firm's ability to set prices and control the market.
A real example of a company with market power is a tech giant like Apple. Apple's market power is influenced by various factors: (i) its highly popular products generate a significant market demand; (ii) Apple operates as a dominant player with a limited number of competitors in the consumer electronics industry; (iii) the interaction among firms is characterized by Apple's ability to set prices and influence market trends. The elasticity of demand for Apple's products is relatively inelastic due to brand loyalty, limited substitutes, and unique features, allowing the company to exercise pricing power and maintain a strong market position.
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The following unadjusted trial balance is for Wilson Construction Company at its June 30 current fiscal year-end. The credit balance of the Retained Earnings account was $98,000 on June 30 of the prio
The unadjusted trial balance for Wilson Construction Company shows a credit balance of $98,000 in the Retained Earnings account as of June 30 of the prior year-end.
The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. In this case, the trial balance for Wilson Construction Company at its June 30 current fiscal year-end shows that the Retained Earnings account has a credit balance of $98,000. The credit balance in the Retained Earnings account indicates that the company has accumulated net income over previous fiscal periods. Retained Earnings represents the cumulative profits or losses of the company that have been retained and reinvested in the business rather than distributed to shareholders as dividends.The information provided about the credit balance of $98,000 on June 30 of the prior year-end is important for financial analysis and decision-making. It allows stakeholders to assess the profitability and financial health of the company, as well as understand the amount of earnings that have been retained for future growth or distribution as dividends.
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Linkconin expects an Earrings aftor Taxes of 7500005 every year. The Sem catently has 100% Equity and cast of raising equally is 12% # the company can borow dete with will be the value of the company if the company takes on a debt equal to 60% of to undevered value? What will be the value of the company if the company takes on a debt aal to 50% of value? Assume the company's fax rate is 30% (Must show the steps of calculation)
To calculate the value of the company when taking on debt, we need to use the adjusted present value (APV) approach, which considers the tax shield benefits of debt. Here are the calculations:
1. Debt equal to 60% of the unlevered value:
Value of debt = 60% of unlevered value = 0.6 * Earnings after Taxes = 0.6 * $7,500,005 = $4,500,003
Value of equity = Earnings after Taxes - Value of debt = $7,500,005 - $4,500,003 = $3,000,002
Value of the company = Value of equity + Value of debt = $3,000,002 + $4,500,003 = $7,500,005
2. Debt equal to 50% of the value:
Value of debt = 50% of value = 0.5 * Earnings after Taxes = 0.5 * $7,500,005 = $3,750,002.5
Value of equity = Earnings after Taxes - Value of debt = $7,500,005 - $3,750,002.5 = $3,750,002.5
Value of the company = Value of equity + Value of debt = $3,750,002.5 + $3,750,002.5 = $7,500,005
Therefore, the value of the company when taking on debt equal to 60% of the unlevered value would be $7,500,005, and when taking on debt equal to 50% of the value, it would also be $7,500,005.
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a+firm+has+a+dividend+payout+ratio+of+40%,+a+net+profit+margin+of+10%,+an+asset+turnover+of+0.9+times,+and+a+financial+leverage+multiplier+of+1.2+times+the+sustainable+growth+rate+is+closest+to:
The sustainable growth rate is an estimate and may not necessarily be achieved in reality. Additionally, other factors such as competition, industry trends, and economic conditions may impact a firm's growth rate. The sustainable growth rate (SGR) of a firm is calculated using the formula SGR = (Net Income / Total Assets) x (Total Assets / Total Equity) x (1 - Dividend Payout Ratio).
To calculate the sustainable growth rate for a firm with a dividend payout ratio of 40%, a net profit margin of 10%, an asset turnover of 0.9 times, and a financial leverage multiplier of 1.2 times, follow these steps:
1. Calculate the retention ratio: Since the dividend payout ratio is 40%, the retention ratio is 100% - 40% = 60% or 0.6.
2. Calculate the return on equity (ROE): ROE = Net profit margin x Asset turnover x Financial leverage multiplier. In this case, ROE = 0.1 x 0.9 x 1.2 = 0.108 or 10.8%.
3. Calculate the sustainable growth rate (SGR): SGR = ROE x Retention ratio. In this case, SGR = 0.108 x 0.6 = 0.0648 or 6.48%.
So, the sustainable growth rate for the firm is closest to 6.48%.
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1. Explain the role of rational uninformed traders in
markets
Rational uninformed traders play a role in markets by providing liquidity and contributing to market efficiency. Here's a breakdown of their role:
Liquidity Provision: Rational uninformed traders participate in markets by buying and selling financial instruments without possessing specialized information or conducting in-depth analysis. They contribute to market liquidity by providing counterparties for other market participants, such as informed traders or institutional investors, who wish to execute their trades. Their willingness to trade without requiring detailed information helps ensure that markets remain active and facilitate smooth transactions. Market Efficiency: Rational uninformed traders play a crucial role in achieving market efficiency. While they may lack specialized knowledge or insights, their trades are typically based on fundamental factors like risk-return trade-offs or broad market trends. Their participation helps absorb excess supply or demand, preventing significant deviations in prices from the underlying asset's fundamental value. This activity contributes to the efficient pricing of securities and enhances the overall functioning of the market.
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table: price and output data) use table: price and output data. the price index for year 4 is: year output price per unit 1 2 $2 2 3 $4 3 = base period 4 $5 4 6 $6 5 7 $9 6. 0. 120. 80.
The average price level of a basket of goods and services can change over time, and a price index is a statistical tool used to track those changes. It offers a means to track economic inflation or deflation. The correct answer is 120.
To find the price index for year 4 from the given table of price and output data, follow these steps:
Step 1: Identify the base year Base year refers to the year used for comparison and indexing purposes. In the given table, it is given that "3 = base period." It means year 3 is the base year for this data.
Step 2: Calculate the price index The formula to calculate the price index is:
Price index = (Price of the year / Price in the base year) x 100We have to find the price index for year 4. Using the above formula, we get: Price index for year 4 = (Price of year 4 / Price in the base year) x 100 Price of year 4 = $6Price in the base year = $5
Therefore, the Price index for year 4 = (6 / 5) x 100 = 120
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Which organizational pattern would be appropriate for each of these topics? • Why most fatal car accidents occur Three types of working dogs • How to gift wrap a present • Stalking--and what can be done to stop it A giant redwood tree
Organizational patterns are an important aspect of writing. The organizational pattern used in a piece of writing helps readers understand the relationships between ideas, and it helps the author present information in a clear and logical way. Here are the appropriate organizational patterns for each of these topics:
Why most fatal car accidents occur
The most appropriate organizational pattern for this topic is cause and effect. This is because it involves the identification of the reasons (causes) behind the occurrence of the car accidents, and their effects (the fatalities). The writer should discuss the causes first and then move on to discuss the effects.
Three types of working dogs
The most appropriate organizational pattern for this topic is classification. This is because the writer has to classify the dogs into different types and describe each type in detail. The writer should start by discussing the general traits of working dogs, then classify the three types and describe each type in detail.
A giant redwood tree
The most appropriate organizational pattern for this topic is description. This is because the writer has to describe the giant redwood tree in detail. The writer should use descriptive language to paint a clear picture of the tree, its physical characteristics, and its environment.
In conclusion, the appropriate organizational patterns for these topics are cause and effect, classification, step-by-step process, problem and solution, and description.
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if price increases, quantity demanded decreases and, therefore, total revenue must fall. question 6 options: true false
The statement "if price increases, quantity demanded decreases and, therefore, total revenue must fall" is false.
This is because price elasticity of demand (PED) determines how changes in price affect quantity demanded and total revenue.
Price elasticity of demand is the responsiveness of quantity demanded to changes in price. It measures the extent to which consumers change the quantity of a good or service they demand in response to a change in its price. The formula for calculating PED is:
PED = (% change in quantity demanded) / (% change in price)
If demand is elastic, meaning that the PED value is greater than 1, a rise in price leads to a decrease in total revenue. This is because the percentage decline in quantity demanded is greater than the percentage rise in price, leading to a decrease in total revenue. Conversely, if demand is inelastic, meaning that the PED value is less than 1, a rise in price leads to an increase in total revenue. This is because the percentage decline in quantity demanded is less than the percentage rise in price, leading to an increase in total revenue.
In conclusion, the relationship between changes in price, quantity demanded, and total revenue depends on the PED value of the good or service in question. Therefore, the statement "if price increases, quantity demanded decreases and, therefore, total revenue must fall" is false.
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If the price increases, quantity demanded decreases and, therefore, total revenue must fall. Thus, the given statement is false.
This is due to the fact that price elasticity of demand (PED) establishes how changes in price impact the amount sought and overall income. The responsiveness of quantity requested to price changes is known as price elasticity of demand. It gauges the degree to which customers alter their demand for a commodity or service in reaction to a price adjustment. The PED calculation formula is as follows:
PED is equal to (% change in quantity demanded) divided by (% change in price).
A rise in price results in a decline in overall revenue if demand is elastic, which means that the PED value is larger than 1. This is due to the fact that a drop in total income results when the percentage decline in the quantity required outweighs the percentage increase in price.
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Select one company, analyze their Organization Structure.
Explain at every level about role and relevance.
Let's take Walmart as an example. Walmart is a multinational retail corporation that operates a chain of hypermarkets, grocery stores, and discount department stores.
Here is an overview of Walmart's organization structure:
Board of Directors: The board of directors is responsible for overseeing the company's overall strategy and direction. They are elected by the shareholders and serve as the highest level of management.
CEO (Chief Executive Officer): The CEO is responsible for leading the company's day-to-day operations and implementing the strategies set by the board of directors. The CEO also reports to the board of directors and is the highest-ranking executive in the company.
COO (Chief Operating Officer): The COO is responsible for overseeing the company's day-to-day operations and implementing the strategies set by the CEO. The COO also reports to the CEO and is a key member of the executive leadership team.
CFO (Chief Financial Officer): The CFO is responsible for managing the company's finances, including budgeting, forecasting, and financial reporting. The CFO also reports to the CEO and is a key member of the executive leadership team.
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Why shouldn’t every adult without a job be classified as part of
the official unemployment rate? What are some problems with using
the unemployment rate as an accurate measure of
joblessness? Why
Not every adult without a job is classified as part of the official unemployment rate for several reasons:
Not actively seeking employment: To be classified as unemployed, individuals need to be actively seeking employment. If someone is not actively looking for work or has given up searching, they may not be counted in the official unemployment rate. This can result in an underestimation of joblessness.
Discouraged workers: Some individuals may become discouraged and stop actively looking for work due to factors such as long-term unemployment or lack of available job opportunities. These discouraged workers are not considered part of the labor force and, therefore, are not included in the official unemployment rate.
Underemployment: The official unemployment rate does not account for individuals who are working part-time but desire full-time employment. These individuals may be counted as employed but are still experiencing underemployment and not fully utilizing their skills and capabilities.
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Recino's Imports has found that 80% of its sales in any given month are credit sales, while the remainder are cash sales of the credit sales, Recinos has experienced the following collection patterna 30% paid in the month of the sale 55% pald in the month after the sale 12% paid two months after the sale 3% of the sales are never collected November sales for the previous year were $100,000 and December sales were $120,000. Projected sales for the next three months are as follows: January sales $160,000 February sales $125,000 March sales $180,000 Required: Prepare a Cash Collections Budget for the first quarter, with a column for each month and for the quarter.
Cash Collections Budget for the first quarter: Recino's Imports is a business that generates 80% of its sales on credit and 20% of its sales in cash.
Recino's has seen the following collection pattern with credit sales: 30% are paid in the month of the sale. 55% are paid in the month after the sale. 12% are paid two months after the sale. 3% of the sales are never collected. The November sales for the previous year were $100,000, while the December sales were $120,000.
The predicted sales for the next three months are as follows:
January sales $160,000,
February sales $125,000, and
March sales $180,000.
In this scenario, it is important to prepare a cash collections budget for the first quarter of the year.
Cash Collections Budget for January 30% of November credit sales of $100,000 = $30,000.
55% of December credit sales of $120,000 = $66,000. 12% of October credit sales of $X = $19,200. 3% of November credit sales of $100,000 = $3,000.
Total cash collected in January is $118,200.Cash Collections Budget for February 30% of December credit sales of $120,000 = $36,000.
55% of January credit sales of $160,000 = $88,000.
12% of November credit sales of $100,000 = $12,000. Total cash collected in February is $136,000.
Cash Collections Budget for March 30% of January credit sales of $160,000 = $48,000. 55% of February credit sales of $125,000 = $68,750.
Total cash collected in March is $116,750.
Quarterly Cash Collections Budget Total cash collected in January is $118,200.
Total cash collected in February is $136,000.
Total cash collected in March is $116,750. The total cash collections budget for the first quarter is $370,950.
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A consumer must divide $1000 between the consumption of product X and product Y. The relevant market prices are Px = $10 and Py = $50. a. Write the equation for the consumer's budget line. b. Show how the consumer's opportunity set changes when the price of good X increases to $20. How does this change alter the market rate of substitution between goods X and Y?
a. The equation for the consumer's budget line can be written as follows:
Total expenditure = Px * Quantity of X + Py * Quantity of Y
Given that the consumer must divide $1000 between the consumption of product X and product Y, we can substitute the values:
$1000 = $10 * Quantity of X + $50 * Quantity of Y
b.
good X increases to $20, the equation for the consumer's budget line will change accordingly:
$1000 = $20 * Quantity of X + $50 * Quantity of Y
This change in the price of good X affects the slope of the budget line. The new budget line becomes steeper because the consumer can afford to purchase fewer units of X for the same amount of money.
The market rate of substitution between goods X and Y represents the amount of one good that the consumer is willing to give up to obtain an additional unit of the other good while maintaining the same level of satisfaction. In this case, as the price of X increases, the market rate of substitution between X and Y also changes.
With the new budget line, the consumer would have to give up more units of Y to obtain an additional unit of X due to the higher price of X. This means that the market rate of substitution between goods X and Y has increased. The consumer now faces a higher opportunity cost in terms of Y for acquiring more units of X.
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Maria Stanley is an energetic, 25-year-old IT professional who
designs software packages for small
businesses. As a self-employed entrepreneur in a volatile market,
Maria’s income is highly erratic.
Maria Stanley is a self-employed entrepreneur who is 25 years old and is an energetic IT professional. Maria Stanley is a self-employed, energetic entrepreneur who is known for designing software packages for small businesses. Her software is cost-effective, efficient, and meets the specific needs of small businesses. Although her income is highly erratic due to the volatile market, she remains focused and determined to succeed.
She is known for designing software packages for small businesses. Her income is highly erratic due to the volatile market. She has to face the fluctuations in the market on a daily basis.Maria Stanley is a person who is very talented and highly energetic. She has great potential and has made a name for herself in the market. Maria Stanley's software packages have become very popular among small businesses. She designs her software in such a way that it meets the specific needs of small businesses. Maria's software packages are cost-effective and very efficient. They help small businesses to manage their day-to-day activities in a more organized and streamlined way.Maria Stanley's job is challenging as a self-employed entrepreneur. However, she is very focused and determined. She keeps herself updated with the latest trends in the market and uses her skills to design software packages that are in demand. She manages to generate a decent income for herself, but it is highly erratic as the market is volatile. Maria Stanley is a self-employed, energetic entrepreneur who is known for designing software packages for small businesses. Her software is cost-effective, efficient, and meets the specific needs of small businesses. Although her income is highly erratic due to the volatile market, she remains focused and determined to succeed.
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: A partnership began on January 1, 2020, with
two partners Mary Snow and Scott Lucas. Mary contributed $53,000
cash and Scott contributed equipment with a fair market value of
$33,000. The partners s
The partnership began on January 1, 2020, with Mary Snow contributing $53,000 cash and Scott Lucas contributing equipment valued at $33,000.
Explanation:
Mary Snow made a cash contribution of $53,000 to the partnership, which increases the partnership's cash assets. Scott Lucas, on the other hand, contributed equipment with a fair market value of $33,000. This contribution adds the equipment to the partnership's assets and increases its overall value. These initial contributions from both partners form the starting capital of the partnership and will be used for the operations and growth of the business.
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The government is considering two projectsProject A would cost $100 million today and yield an estimated benefit of $150 million at the end of the tenth yearProject B would cost $80 million today and yield an estimated benefit of $110 million at the end of the fifth year. Suppose the current interest rate is 5%, which project should be launched by the government if the government's budget is only enough to launch one project? Explain with calculations
Given the government's budget constraint and the estimated costs and benefits of the two projects, the government should choose Project B. With an interest rate of 5%, Project B has a higher net present value (NPV) compared to Project A, making it the more favorable option.
To determine which project should be launched, we need to calculate the net present value (NPV) of each project. NPV measures the value of future cash flows in today's dollars by discounting them at the current interest rate. The higher the NPV, the more attractive the project.
For Project A:
NPV = Benefit - Cost / (1 + Interest Rate)^Number of Years
NPV = $150 million - $100 million / (1 + 0.05)^10
NPV = $150 million - $100 million / 1.62889
NPV = $29.08 million
For Project B:
NPV = $110 million - $80 million / (1 + 0.05)^5
NPV = $110 million - $80 million / 1.27628
NPV = $26.60 million
Comparing the NPVs, we find that Project A has a higher NPV ($29.08 million) than Project B ($26.60 million). Therefore, considering the government's budget constraint and the interest rate of 5%, the government should choose Project A as it offers a higher net present value and is expected to provide greater benefits relative to its cost.
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Gilley, Inc., sells a single product. The company's most recent income statement is given below. Sales (4,000 units) $120,000 Less variable expenses (68,000) Contribution margin 52,000 Less fixed expenses (40,000) Net income $ 12,000 Required: a. Contribution margin per unit is $ ________ per unit b. If sales are doubled to $240,000, total variable costs will equal $ ________ c. If sales are doubled to $240,000, total fixed costs will equal $ ________ d. If 10 more units are sold, profits will increase by $ ________ e. Compute how many units must be sold to break even. # ________ f. Compute how many units must be sold to achieve profits of $20,000. # ________
Contribution margin per unit is $13 per unit , total variable costs will equal $136,000, total fixed costs will equal $40,000. If 10 more units are sold, profits will increase by $130, The number of units to break-even is 7,111. The number of units required to achieve a profit of $20,000 is 5,538.
Given that Sales (4,000 units) $120,000Less variable expenses (68,000)
Contribution margin 52,000Less fixed expenses (40,000)Net income $ 12,000a)
Calculation of contribution margin per unit
Contribution margin per unit is calculated by dividing the total contribution margin by total number of units.
Contribution margin per unit =$52,000/4,000 units= $13 per unit
Calculation of total variable costs Total variable cost is calculated as follows:
Contribution margin = Sales - Variable cost ⇒ $52,000 = $120,000 - Variable cost⇒
Variable cost = $120,000 - $52,000 = $68,000
Total variable costs for sales of $240,000 = $240,000 × ($68,000 ÷ $120,000) = $136,000
Calculation of total fixed costs
Total fixed costs for sales of $240,000 = $40,000 (remains the same)
Calculation of profits increase
If 10 more units are sold, profits will increase by $130 = 10 × $13 (contribution margin per unit)
Calculation of break-even point
Break-even point is the point where total sales equals total expenses and the net income is zero.
Contribution margin ratio = Contribution margin / Sales ⇒ $52,000 / $120,000 ⇒ 0.433 or 43.3%
Fixed expenses / Contribution margin ratio = $40,000 / 0.433 ⇒ $92,355 (rounded to nearest dollar)
Total units to break-even = Total fixed cost / Contribution margin per unit ⇒ $92,355 / $13 per unit = 7,111 (rounded to nearest whole unit)
Calculation of the number of units needed to achieve a profit of $20,000
Units required to achieve a profit of $20,000 = (Fixed costs + Operating income) / Contribution
margin per unit = ($40,000 + $20,000) / $13 per unit
= 4,000 units + 1,538 units = 5,538 units (rounded to nearest whole unit)
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What is the present value of a 10-year annuity of $2,500 per year; i = 4%. Present value $ .............
The present value of a 10-year annuity of $2,500 per year with an interest rate of 4% is approximately $20,880.
To calculate the present value of an annuity, we use the formula:
PV = PMT ×[tex][(1 - (1 + r)^{(-n))} / r][/tex]
Where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, the annual payment (PMT) is $2,500, the interest rate (r) is 4% (or 0.04 as a decimal), and the number of periods (n) is 10 years.
Plugging these values into the formula, we get:
PV = $2,500 × [tex][(1 - (1 + 0.04)^{(-10))} / 0.04][/tex]
= $2,500 × [tex][(1 - (1.04)^{(-10))} / 0.04][/tex]
= $2,500 × [(1 - 0.67556404) / 0.04]
= $2,500 × [0.32443596 / 0.04]
= $2,500 × 8.110899
≈ $20,880
Therefore, the present value of the 10-year annuity is approximately $20,880.
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urple Berhad’s production manager is putting together a capital appraisal to replace a machinery in the Batu Maung factory and has sought your advice.
Current machinery
Purchased 4 years ago for RM600,000. Sales proceeds of RM50,000 achievable 5 years from now. If retained, the machinery will require major repairs at the end of the first year amounting to RM50,000, and a further repair of RM20,000 at the end of the third year. Annual cash flows are estimated to be RM30,000. If sold now, it would be for RM70,000.
Proposed replacement
Cost RM900,000 fully installed. Effective life would be for 5 years. Annual maintenance costs would be RM30,000 per year. Cash flows expected to increase to RM60,000 per year.
Additional information Ignore tax effects. Cost of capital is at 10% per annum.
a) Using only Net Present Value as your basis of decision, recommend to the production manager to retain the current machinery, or to replace it. (17 marks)
b) Give TWO criticisms each for the Accounting Rate of Return and Payback Period capital budgeting techniques. (8 marks)
The Payback Period technique only calculates the time it takes for a project to pay back its initial investment and does not consider the present value of cash flows or future cash inflows beyond the payback period. As a result, the method does not provide an accurate measurement of profitability or profitability.
Using the Net Present Value (NPV) method, it is recommended that Purple Berhad retain its existing machinery instead of purchasing the new one. By estimating the NPV of each machine's cash inflows and outflows at a 10% cost of capital, a decision can be made about which one is a better investment.NPV of existing machinery is as follows:NPV=PV of future cash inflows − PV of future cash outflows
NPV of proposed machinery = RM300,000 − RM1,050,000 = -RM750,000.
ARR does not take into account the time value of money, which may distort the actual return on investment. ARR considers only accounting figures and ignores the effects of inflation, as well as the capital asset pricing model. Criticisms of Payback Period technique
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At 9000 direct labor hours, the flexible budget for indirect materials is $18000. If $19400 are incurred at 9400 direct labor hours, the flexible budget report should show the following difference for indirect materials: $1400 unfavorable. O $1400 favorable. $600 favorable. O $600 unfavorable.
$600 favorable. Explanation: The formula for finding the flexible budget is; Flexible Budget = Budgeted fixed cost + (Budgeted variable rate per unit x Actual activity)Therefore, the flexible budget of indirect materials = Budgeted fixed cost + (Budgeted variable rate per hour x Actual hours worked).
The flexible budget for indirect materials = Budgeted fixed cost + (Budgeted variable rate per hour x Actual hours worked)Flexible Budget for indirect materials = $0 + ($2 per direct labor hour x 9,000 direct labor hours)Flexible Budget for indirect materials = $18,000At 9,400 direct labor hours, the flexible budget for indirect materials would be Flexible Budget for indirect materials = $0 + ($2 per direct labor hour x 9,400 direct labor hours)Flexible Budget for indirect materials = $18,800If $19,400 are incurred, the flexible budget report should show the following difference for indirect materials.
Flexible budget difference = actual results - flexible budget Flexible budget difference = $19,400 - $18,800Flexible budget difference = $600The answer, therefore, is option C, $600 favorable.
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A sampling plan is desired to have a producer's risk of 0.05 at AQL = 0.5% and a consumer's risk of 0.10 at LQL = 10% nonconforming. Find 76693 the e single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation. [6]
The table shows that
n = 20 and c = 2 yield
α = 0.097 and β = 0.028.
Since β is less than 0.05, we need to decrease the sample size or increase the acceptance number. Since the producer's stipulations are only approximate, we will increase
c. the e single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation is "Sample size n = 20, acceptance number c = 3".
A sampling plan is desired to have a producer's risk of 0.05 at
AQL = 0.5% and a consumer's risk of 0.10 at LQL = 10% nonconforming. Find 76693 the e single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation.
To solve the problem, we will use the following formulas:
AQL = p1LQL = p2
Where: p1 = proportion of nonconforming items when the process average equals the AQL;
p2 = proportion of nonconforming items when the process average equals the LQL;
A single sampling plan can be specified by three of the following: Sample size n;
Acceptance number c;
rejection number d.
If two of the three are given, the third can be calculated. Thus, the producer's risk and the consumer's risk are defined as follows:
Producer's risk = Probability of accepting a lot when the lot is truly bad
Consumer's risk = Probability of rejecting a lot when the lot is truly good
Let's proceed to the calculations:
Given, AQL = 0.5%LQL = 10%
Producer's risk = 0.05
Consumer's risk = 0.10
We know that,
AQL = p1LQL = p2
Producer's risk = Probability of accepting a lot when the lot is truly bad
Consumer's risk = Probability of rejecting a lot when the lot is truly good
Hence, using the formulas mentioned above,
p1 = 0.005 and p2 = 0.1
Let n be the sample size, and c be the acceptance number. Since the consumer's stipulations are more restrictive, we first determine the sample size and acceptance number using the consumer's specifications and then check whether they satisfy the producer's specifications. Consumers specifications are given as:
p2 = 0.1
α = Consumer's risk = 0.10
β = Producer's risk = 0.05
Since α = 0.10, and n + c = 93. We know that β is minimum when n/c is minimum. Using the table, we find that
n = 20, c = 2 for LQL = 10%.
The consumer's specifications are met. To check whether the producer's specifications are met, we find the actual α and β values. Since we accept if c or fewer defectives are found, α is given by:
α = P(reject H0 | H0 true) = P(number of defectives ≤ c | p = 0.1)
β is given by:
β = P(accept H0 | H1 true) = P(number of defectives > c | p = 0.005)
The table shows that n = 20 and c = 2 yield α = 0.097 and β = 0.028. Since β is less than 0.05, we need to decrease the sample size or increase the acceptance number. Since the producer's stipulations are only approximate, we will increase
c. With n = 20 and c = 3, α = 0.169 and β = 0.015.β is less than 0.05, and we have found our single sampling plan with the desired properties. Hence, the e single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation is "Sample size n = 20, acceptance number c = 3".
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Explain with examples what do we mean by "price formation" in
electronic financial markets
Price formation in electronic financial markets refers to the process by which the prices of financial instruments are determined based on the interactions between buyers and sellers in an electronic trading environment.
In these markets, prices are not set by a single entity but are the result of various factors such as supply and demand, order flow, market participants' actions, and the underlying market conditions.
In electronic financial markets, the prices of securities, commodities, currencies, or other financial instruments are continuously updated in real-time as trades occur. The matching of buy and sell orders is done electronically based on predefined rules and algorithms.
For example, in a stock market, price formation occurs when buyers and sellers place orders to buy or sell shares of a company. The market's electronic trading system matches these orders based on price and quantity, resulting in trades being executed at a specific price. The continuous buying and selling activity, along with new information and market developments, can cause the price to fluctuate throughout the trading session.
Price formation in electronic financial markets is influenced by various factors, including market liquidity, investor sentiment, news and economic indicators, algorithmic trading strategies, and market regulations. These factors collectively contribute to the dynamics of price movements and the establishment of fair market prices.
Overall, price formation in electronic financial markets is a complex process driven by the interactions of market participants and market forces, ultimately leading to the determination of prices for financial instruments.
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Problem 20-36 (Algo) Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). per order Annual demand Standard deviation of daily demand Item cost Annual holding cost Review period 2,850 6 $30.00 40 16 mufflers mufflers per working day per muffler of item value working days Ordering cost Service probability Lead time Working days $ 55 91 4 285 working days per year a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level b. If the service probability requirement is 97 percent, the optimal target level will: Increase O Decrease Stay the same
The appropriate quantities of goods for your brand to keep on hand are known as optimal inventory levels. Since these inventory levels correspond to your actual consumer demand, you always have adequate products to meet that demand. The optimal target level will stay the same.
Given,
The per order, k = 2850
The Annual demand, D = 6
The Standard deviation of daily demand, σ = 40
Item cost, C = $30
The Annual holding cost, h = 16
The Review period, N = 285/16 = 17.8
Therefore, N ≈ 18
The Ordering cost, S = $55
The Service probability, α = 97%
The Lead time, L = 4
Working days, n = 285
The formula to find the optimal target level is given by
OTL = μL + ZσL
Where μL = mean demand during lead time
Z = the critical value of the standard normal distribution for the desired service probabilityσL = standard deviation of demand during lead time
Using the given values
;μL = D × LL = 4n = 285μL = D × L = 6 × 4 = 24σL = σ × √LL = 4√18 = 4.24Z = NORMSINV (α) = NORMSINV (0.97) = 1.8808
Therefore, OTL = μL + ZσLOTL = 24 + 1.8808 × 40 × 4.24OTL = 24 + 318.85OTL ≈ 343.85≈ 344Hence, the optimal target level is 344 mufflers. Therefore, the answer is "Optimal target level".If the service probability requirement is 97 per cent, the optimal target level will stay the same. Therefore, the answer is "Stay the same".
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Target Market and Positioning of starbucks : Analyze the target segment for the company’s product, providing a full analysis of its demographic, psychographic, geographic, and behavioral characteristics. Define the company/product’s position relative to competitors? include resourses.
Target Market and Positioning of Starbucks Target Market Analysis Starbucks is a global corporation that provides coffee beverages, snacks, and other items to people of all ages. As a result, the company's target market is a diverse one, ranging from young adults to senior citizens.
However, the company primarily targets middle-aged people aged 25 to 45 who are high earners, both male and female, and those who are more affluent. It is these people that make up the majority of the company's consumer base.Starbucks also targets customers who appreciate the company's coffee and the culture that surrounds it. They also put a premium on high-quality coffee, and they're willing to pay a premium for it, which is where Starbucks comes in. This specific market demographic enjoys a quiet place to work, read, or socialize while enjoying a cup of coffee. The company also provides free internet, music, and additional perks to consumers, making them feel welcome and at ease while inside the store.
According to a recent survey, the company's primary target audience comprises individuals who earn more than $60,000 annually and have a college degree. Starbucks stores are primarily located in urban areas, as well as high-traffic areas such as malls, universities, and airports. The company also has a mobile app that allows consumers to order ahead and skip the line, which appeals to their core demographic. Starbucks has maintained its strong brand image by continuing to provide a premium product to its consumers, resulting in the company becoming synonymous with quality coffee and customer experience. Positioning Analysis The following are some of the company's key competitors in the coffee industry: Dunkin' Donuts, McDonald's, and Costa Coffee, among others. Starbucks' brand position is unique, as the company offers high-quality coffee that is not found in other fast-food chains. Starbucks is more than simply a coffee shop; it is a "third place" where people may come to work, read, or socialize in a welcoming and calm atmosphere. Starbucks also caters to customers who value quality over quantity, which distinguishes them from other competitors who sell more affordable, low-quality coffee products. Starbucks uses high-quality beans from various regions worldwide and uses skilled baristas to create their delicious coffee beverages. The company provides its customers with a unique experience, and it is their culture that draws customers in. Starbucks has established a strong brand image over the years, which is synonymous with quality coffee and exceptional customer experience. Starbucks' social responsibility efforts have also helped to differentiate it from other competitors.
The company is dedicated to creating a sustainable environment for future generations by reducing waste, conserving energy, and encouraging ethical sourcing of its products. Starbucks has effectively positioned itself in the market as a premium brand that provides high-quality coffee beverages and exceptional customer experience, distinguishing itself from other low-quality coffee chains.
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Which one of the following statements is incorrect?
Traditional bank capital standards are enough to protect depositors from traditional credit risk and from derivative risk.
The higher the leverage ratio of a commercial bank, the higher is the expected profit per dollar of capital invested for this bank.
All of the answers here are incorrect.
The higher the leverage ratio of a commercial bank, the higher is the risk of insolvency for this bank.
When a bank's value of assets becomes less than the value of its liabilities, it becomes insolvent.
The statement "The higher the leverage ratio of a commercial bank, the higher is the expected profit per dollar of capital invested for this bank" is incorrect.
A higher leverage ratio does not necessarily translate into higher expected profit per dollar of capital invested. The leverage ratio measures the proportion of a bank's assets that are funded by debt relative to its capital. While a higher leverage ratio can amplify profits in good times, it also amplifies losses in bad times, increasing the risk of insolvency. Higher leverage ratios indicate higher levels of debt and can make a bank more vulnerable to financial shocks and downturns.
Therefore, it is incorrect to assume that a higher leverage ratio always leads to higher expected profits per dollar of capital invested. It is essential for banks to strike a balance between leverage and risk management to maintain financial stability and protect the interests of depositors and shareholders.
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1. In a questionnaire, respondents are asked to enter their hair color. Hair color is an example of a a. categorical variable O b. quantitative variable c. categorical or quantitative variable, depending on how many decimal points d. rationalize variable QUESTION 2 1 points Saved Exhibit 1-2 Out of 3,200 students a researcher found that 1,440, or 45%, like peanut butter. 2. Refer to Exhibit 1-2. A researcher creates a pie chart illustrating that 45% of the 3,200 students like peanut butter. This is an example of a. a sample b. descriptive statistics c. statistical inference d. a population 4. Twenty employees of ABC Corporation were asked if they liked or disliked the new district manager. Below are their responses. Let L represent liked and D represent disliked. L L D L D D D L L D D L D D L D D D D L What is the relative frequency of D/dislike? a. 0.4 b. 0.6 c. 1.0 d. 50% QUESTION 5 5. The population variance is an example of a O a. population parameter b. sample statistic c. population sample d. mode 8. The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product in 8 minutes or less is a. 0.25 b. 0.75 O c. 0.5 O d. 1.5 QUESTION 9 9. X is a normally distributed random variable with a mean of 7 and a standard deviation of 4. The probability that x is less than 2 is a. 0.87 b. 0.11 c. 0.72 O d. 0.98 12. A simple random sample of 100 observations was taken from a very large population. The population standard deviation is 120. The standard error of the mean is a. 1.875 b. 40 c. 12 O d. 2 QUESTION 13 13. A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the a. approximation theorem b. normal probability theorem Ο Ο Ο Ο c. central limit theorem d. central normality theorem
Hair color is an example of a categorical variable because it represents distinct categories or groups. Hair color is not measured on a numerical scale but rather classified into categories such as blond, brunette, red, etc.
Creating a pie chart to illustrate the percentage of students who like peanut butter out of a total of 3,200 is an example of descriptive statistics. Descriptive statistics involve summarizing and presenting data in a meaningful way, such as through charts or graphs, to provide an overview or description of the data.
The relative frequency of D/dislike in the given employee responses is 0.6 or 60%. Relative frequency is calculated by dividing the frequency of a particular category (in this case, the number of dislikes) by the total number of responses.
The population variance is an example of a population parameter. Population parameters describe characteristics or properties of an entire population, such as mean, variance, or standard deviation, based on complete data from the population.
The probability of assembling the product in 8 minutes or less, given a uniform distribution between 6 to 10 minutes, is 0.75 or 75%. This can be calculated by determining the proportion of the total range that falls within the desired time frame.
The probability that the random variable X, which follows a normal distribution with a mean of 7 and a standard deviation of 4, is less than 2 is 0.11 or 11%. This can be determined by calculating the area under the normal distribution curve to the left of the value 2.
The standard error of the mean, given a sample size of 100 and a population standard deviation of 120, is 12. Standard error measures the variability or dispersion of sample means around the true population mean and is calculated by dividing the population standard deviation by the square root of the sample size.
The theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions when the sample size is large is known as the central limit theorem. The central limit theorem states that, regardless of the shape of the population distribution, the sampling distribution of the mean approaches a normal distribution as the sample size increases.
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Share premier account (1 marks) (d) Amanda Corporation has issued 500,000 shares of K2 par value ordinary shares. It authorized 600,000 shares. The paid-in capital in excess of par on the common stock is K370, 000. The corporation has reacquired 20,000 shares at a cost of K50, 000 and is currently holding those shares. Treasury stock was reissued in prior years for K82, 000 more than its cost. The corporation also has 5,000 shares issued and outstanding of 8%, K90 par value preferred stock. It authorized 10,000 shares. The paid-in capital in excess of par on the preferred stock is K35, 000. Retained earnings is K710, 000. Required Prepare the stockholders' equity section of the balance sheet. (8marks) (Total 25marks) Share premier account (1 marks) (d) Amanda Corporation has issued 500,000 shares of K2 par value ordinary shares. It authorized 600,000 shares. The paid-in capital in excess of par on the common stock is K370, 000. The corporation has reacquired 20,000 shares at a cost of K50, 000 and is currently holding those shares. Treasury stock was reissued in prior years for K82, 000 more than its cost. The corporation also has 5,000 shares issued and outstanding of 8%, K90 par value preferred stock. It authorized 10,000 shares. The paid-in capital in excess of par on the preferred stock is K35, 000. Retained earnings is K710, 000. Required Prepare the stockholders' equity section of the balance sheet. (8marks) (Total 25marks)
The stockholders' equity section of Amanda Corporation's balance sheet consists of the following components: common stock, additional paid-in capital on common stock, treasury stock, preferred stock, additional paid-in capital on preferred stock, and retained earnings.
The common stock has a par value of K2 per share, with 500,000 shares issued and outstanding out of the authorized 600,000 shares. The additional paid-in capital on common stock is K370,000. The corporation has reacquired 20,000 shares of treasury stock at a cost of K50,000, which are currently held. Treasury stock was reissued in prior years for K82,000 more than its cost. The preferred stock has a par value of K90 per share, with 5,000 shares issued and outstanding out of the authorized 10,000 shares. The additional paid-in capital on preferred stock is K35,000. The retained earnings amount to K710,000. The stockholders' equity section of the balance sheet summarizes the various sources of financing provided by the shareholders of the company. In this case, Amanda Corporation's stockholders' equity section includes the following components:
1. Common Stock: The corporation has issued 500,000 shares of K2 par value ordinary shares out of the authorized 600,000 shares.
2. Additional Paid-in Capital on Common Stock: The additional amount that shareholders have paid above the par value on the common stock is K370,000.
3. Treasury Stock: The corporation has reacquired 20,000 shares of its own stock, which are currently held. The cost of reacquiring these shares is K50,000.
4. Preferred Stock: There are 5,000 shares of 8% K90 par value preferred stock issued and outstanding out of the authorized 10,000 shares.
5. Additional Paid-in Capital on Preferred Stock: The additional amount that shareholders have paid above the par value on the preferred stock is K35,000.
6. Retained Earnings: The accumulated profits of the corporation over time amount to K710,000.
These components together make up the stockholders' equity section of Amanda Corporation's balance sheet, representing the shareholders' investment in the company and its accumulated earnings.
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Sid bought a new $ 1,320,000 seven-year class asset on August 2, 2021. On December 2, 2021, he purchased $ 800,000 of used five-year class assets. If Sid elects Code Section 179 and does not take the additional first-year depreciation, what is the maximum cost recovery deduction for the purchases for 2021?
The maximum cost recovery deduction for the purchases in 2021 is $1,210,000.
Sid can claim a Section 179 deduction of up to $1,050,000 for the new seven-year class asset. Since the asset's cost exceeds this limit, the deduction is capped at $1,050,000. The used five-year class assets do not qualify for the Section 179 deduction, but they can be depreciated using the regular depreciation rules. Assuming straight-line depreciation, the depreciation expense for the $800,000 used assets would be $160,000. Therefore, the total cost recovery deduction for 2021 is $1,050,000 + $160,000 = $1,210,000.
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(a) What proportion of the world's primary energy supply comes from natural gas? (b) Globally, which two countries are producing the largest quantities of natural gas? (c) From which two countries does Europe get most of its natural gas?
(a) As of my knowledge cutoff in September 2021, approximately 23% of the world's primary energy supply comes from natural gas.
(b) The two countries that were globally producing the largest quantities of natural gas as of my knowledge cutoff in September 2021 were the United States and Russia.
please note that rankings and production levels can change over time due to various factors such as exploration, new discoveries, and technological advancements.
(c) As of my knowledge cutoff in September 2021, the two countries from which Europe gets most of its natural gas are Russia and Norway. These countries are major suppliers of natural gas to European countries through pipelines and liquefied natural gas (LNG) shipments. However, specific import patterns and sources may vary over time as countries diversify their energy supplies and establish new trade agreements.
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