To record the issuance of additional shares of common stock, the journal entry would be:
Common Stock $39,000
Additional Paid-in Capital $39,000
To record the entry for services provided to customers for cash, the journal entry would be:
Cash $54,000
Service Revenue $54,000
To record the entry for services provided to customers on account, the journal entry would be:
Accounts Receivable $49,000
Service Revenue $49,000
To record the salaries paid to employees for work in 2021, the journal entry would be:
Salaries Expense $42,000
Cash $42,000
To record the payment of one year's rent in advance, the journal entry would be:
Prepaid Rent $31,000
Cash $31,000
To record the purchase of supplies on account, the journal entry would be:
Supplies $41,000
Accounts Payable $41,000
To record the payment of dividends, the journal entry would be:
Dividends $3,900
Cash $3,900
To record the adjusting entry for salaries on December 31, the journal entry would be:
Salaries Expense $[Amount]
Salaries Payable $[Amount]
To record the adjusting entry for rent on December 31, the journal entry would be:
Rent Expense $[Amount]
Prepaid Rent $[Amount]
To record the adjusting entry for supplies on December 31, the journal entry would be:
Supplies Expense $[Amount]
Supplies $[Amount]
To record the adjusting entry for deferred revenue on December 31, the journal entry would be:
Deferred Revenue $[Amount]
Service Revenue $[Amount]
To record the entry to close the revenue accounts, the journal entry would be:
Service Revenue $[Amount]
Retained Earnings $[Amount]
To record the entry to close the expense accounts, the journal entry would be:
Retained Earnings $[Amount]
Expenses $[Amount]
To record the entry to close the dividends accounts, the journal entry would be:
Retained Earnings $[Amount]
Dividends $[Amount]
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You are given the following data for equilibria in a given market for the years 2017 and 2018. Which is of the following pairs could explain this data? a. Perfectly inelastic supply and increase in demand b. Perfectly elastic supply and increase in demand c. Perfectly inelastic demand and increase in supply d. Perfectly elastic demand and increase in supply Perfectly inelastic supply and increase in demand Perfectly elastic supply and increase in demand Perfectly inelastic demand and increase in supply Perfectly elastic demand and increase in supply
The pair that could explain the given data is "c. Perfectly inelastic demand and increase in supply." Please note that this answer is based solely on the information provided and assumes that the data supports this particular combination.
In the case of perfectly inelastic demand, it means that the quantity demanded remains constant regardless of changes in price. On the other hand, an increase in supply implies that the quantity supplied has increased.
When demand is perfectly inelastic and supply increases, it suggests that even with an increase in the quantity supplied, the demand remains constant. As a result, the market equilibrium will be determined primarily by the change in supply. This scenario would lead to a higher quantity traded at a lower price.
However, please keep in mind that without specific data or further context, it is difficult to provide a definitive answer. economic analysis often involves multiple factors, and the given options might not capture all possible combinations or explanations for the data.
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Debit Credit Retained Earnings, 31 December 20X7 $ 51,000 Sales Revenue 29,000 Interest Expense $ 890 Cost Of Sales 9,100
The closing of the revenue and expense accounts and transferring the balance to the retained earnings account, using Debit, Credit, and Retained Earnings as terms.
Retained earnings are what the firm retains in earnings. When it comes to dividends, the earnings account is the firm's last line of defense. It is the account that shows the amount of revenue and retained earnings. When you compare the balance in the retained earnings account from the previous year to the current year, you can determine if the company has made a profit or lost money.
The calculation for a firm's earnings per share (EPS) begins with the retained earnings balance.A company's revenue and expenditure accounts must be closed at the conclusion of each accounting cycle. When a company prepares its financial statements, the balance in the income statement accounts is moved to the retained earnings account, which is a balance sheet account.The Retained Earnings account is debited with a total of $51,000, representing the earnings from the income statement that are now transferred to the balance sheet.
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Suppose there are only two buyers (A and B) of a good. A’s demand function is given as Qd A = 20−4P and Qd B = 15 − 3P, where Qd A and Qd B are quantities demanded by A and B, respectively and P is price of the good. There are two suppliers of the good, with the following individual supply equations: Qs 1 = −2 + 4P; and Qs 2 = −2 + 6P.
Find the market equilibrium price and quantity and calculate the quantities purchased by each consumer and the quantities supplied by each producer (10 points: 2 for equilibrium price; 2 for equilibrium quantity; 3 for quantities purchased by each consumer (1.5 for each consumer), and 3 for quantities sold by each supplier (1.5 for each supplier)).
Calculate producer surplus, consumer surplus and total surplus (6 points; 2 points for each).
What would be the total surplus if the there is a price floor set at P* = 3.3? What does the result imply for efficiency? (5 points, 4 points for the calculation; and 1 point for the statement about efficiency).
The market equilibrium price is P = 2 and the equilibrium quantity is Q is 12, Consumer A purchases 12 units and consumer B purchases 9 units And The price floor is above the market equilibrium and would result in inefficient allocation of resources, leading to a decrease in total surplus.
To find the market equilibrium price and quantity, we need to equate the quantities demanded and supplied:
Qd A = Qs 1 + Qs 2
20−4P = -2 + 4P - 2 + 6P
Simplifying the equation, we get:
10P = 20
Dividing both sides by 10, we find:
P = 2
Substituting the equilibrium price back into one of the demand or supply equations, we can find the equilibrium quantity:
Qd A = 20−4(2)
Qd A = 12
So the market equilibrium price is P = 2 and the equilibrium quantity is Q = 12.
To calculate the quantities purchased by each consumer, we substitute the equilibrium price into their respective demand functions:
Qd A = 20−4(2) = 12
Qd B = 15−3(2) = 9
Therefore, consumer A purchases 12 units and consumer B purchases 9 units.
Similarly, we can calculate the quantities supplied by each producer by substituting the equilibrium price into their supply equations:
Qs 1 = -2 + 4(2) = 6
Qs 2 = -2 + 6(2) = 10
So producer 1 supplies 6 units and producer 2 supplies 10 units.
To calculate the producer surplus, we subtract the cost (supply) from the market price and multiply by the quantity supplied:
Producer Surplus = (P - Cost) * Quantity Supplied
= (2 - (-2 + 4P)) * 6 + (2 - (-2 + 6P)) * 10
To calculate the consumer surplus, we subtract the price from the willingness to pay (demand) and multiply by the quantity demanded:
Consumer Surplus = (Willingness to Pay - P) * Quantity Demanded
= (20 - 4P - P) * 12 + (15 - 3P - P) * 9
The total surplus is the sum of the producer and consumer surpluses.
If a price floor is set at P* = 3.3, it would create a surplus as the equilibrium price is lower at P = 2. This implies that the price floor is above the market equilibrium and would result in inefficient allocation of resources, leading to a decrease in total surplus.
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Please analyze the following and provide two examples of each:
Explore Business ecosystems
Explain the importance of transportation corridors.
Examples of various countries to be provided.
Business ecosystems and transportation corridors are crucial elements for economic growth and development, fostering collaboration, innovation, and connectivity in various countries around the world
Business ecosystems are dynamic networks of interconnected organizations, including suppliers, customers, competitors, and other stakeholders, that collaborate and compete with each other to create value. These ecosystems promote innovation, growth, and sustainability. Here are two examples of business ecosystems:
1. Silicon Valley: Located in California, USA, Silicon Valley is renowned for its tech-centric business ecosystem. It consists of numerous high-tech companies, venture capitalists, research institutions, and skilled talent. This ecosystem fosters collaboration, knowledge sharing, and entrepreneurial spirit, leading to the development of groundbreaking technologies and startups.
2. Bollywood: Bollywood is India's vibrant film industry ecosystem, centered in Mumbai. It involves a network of film studios, production houses, actors, directors, distributors, and marketers. This ecosystem supports the creation, production, and distribution of Indian cinema, which is globally recognized for its cultural impact and entertainment value.
Transportation corridors are critical infrastructures that facilitate the movement of goods, services, and people between different regions. They play a crucial role in enhancing economic growth, trade, and connectivity. Here are two examples of the importance of transportation corridors:
1. Suez Canal: Situated in Egypt, the Suez Canal is a vital transportation corridor connecting the Mediterranean Sea to the Red Sea. It allows ships to bypass the lengthy journey around Africa, significantly reducing transportation time and costs for global trade. This corridor plays a crucial role in facilitating the movement of goods between Europe, Asia, and Africa.
2. Pan-American Highway: The Pan-American Highway is a network of roads spanning multiple countries across North, Central, and South America. It enables efficient land transportation, connecting countries and fostering economic integration. This corridor promotes trade, tourism, and cultural exchange among the countries it traverses, contributing to regional development.
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How do social stratification, Language, and education affect international business?
Social stratification, language, and education significantly impact international business. They shape market segmentation, communication, and talent acquisition, affecting business operations and success.or the division of society into different social classes or levels, affects international business in several ways.
Impacts market segmentation, as consumer preferences, purchasing power, and demand for goods and services vary across social classes. Understanding social stratification enables businesses to tailor their products, pricing, and marketing strategies accordingly.
Language plays a crucial role in international business. It affects communication with customers, partners, and employees in different countries. Language barriers can hinder effective negotiation, collaboration, and customer service. Employing translators, offering multilingual support, and adapting marketing materials can help overcome these challenges.
Education levels also impact international business. Highly educated populations often have higher consumer purchasing power, demand for innovative products, and skilled labor forces. Businesses may target markets with educated populations for product launches or invest in countries with quality educational systems for talent acquisition and innovation.
Furthermore, education influences the availability of skilled workers in international business. Companies may need to consider the educational requirements and qualifications of potential employees in different countries. Collaborating with local educational institutions or providing training programs can help bridge any skills gaps.
In summary, social stratification affects market segmentation, language impacts communication, and education influences talent acquisition in international business. Understanding and adapting to these factors is essential for businesses to succeed in global markets.
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Assume that Social Security promises you
$43,000
per year starting when you retire 45 years from today (the first
$43,000
will get paid 45 years from now). If your discount rate is
7%,
compounded annually, and you plan to live for
13
years after retiring (so that you will receive a total of
14
payments including the first one), what is the value today of Social Security's promise?
The value today of Social Security's promise, considering a discount rate of 7% compounded annually and a payment period of 14 years, is approximately $414,825.38.
To calculate the present value of Social Security's promise, we can use the formula for the present value of an annuity. The formula is:
Present Value = Payment Amount * (1 - (1 + r)^(-n)) / r
Where:
Payment Amount = $43,000 per year
r = Discount rate per period
n = Number of periods
Given:
Payment Amount = $43,000 per year
Discount rate = 7% per year, compounded annually
Number of periods = 14 (including the first payment)
Plugging these values into the formula, we can calculate the present value:
Present Value = $43,000 * (1 - (1 + 0.07)^(-14)) / 0.07
Calculating this expression:
Present Value = $43,000 * (1 - 1.07^(-14)) / 0.07
Present Value = $43,000 * (1 - 0.320279379) / 0.07
Present Value = $43,000 * 0.679720621 / 0.07
Present Value = $414,825.38
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Calculate the four components of aggregate expenditure and GDP for the following economy using data from the table below. Instructions: Enter your responses as whole numbers. If you
To calculate the four components of aggregate expenditure (AE) and Gross Domestic Product (GDP), we need data on consumption (C), investment (I), government spending (G), and net exports (NX). However, the table you mentioned is missing, so I am unable to provide specific calculations based on the given data.
In general, the four components of AE are:
Consumption (C): This represents the total spending by households on goods and services. It includes purchases of durable goods (e.g., cars, appliances), non-durable goods (e.g., food, clothing), and services (e.g., healthcare, education).
Investment (I): This includes spending by businesses on capital goods (e.g., machinery, equipment) and residential construction. It also encompasses changes in inventories, as businesses may increase or decrease their stock of goods.
Government spending (G): This refers to expenditures by the government on public goods and services such as defense, infrastructure, education, and healthcare. It excludes transfer payments like social security and unemployment benefits.
Net exports (NX): This represents the difference between exports (goods and services sold to other countries) and imports (goods and services purchased from other countries). A positive value indicates a trade surplus, while a negative value indicates a trade deficit.
To calculate GDP, we sum up these four components: GDP = C + I + G + NX. With the specific data from the table, we could provide a more accurate calculation of each component and GDP.
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Do you agree with Prof. Fourie’s argument in the article "why growth matters in south africa?" Clearly state your stance and then justify it by incorporating appropriate economic theory and knowledge gained thus far this semester in development economics
When analyzing an argument, it is essential to critically evaluate the evidence, consider alternative perspectives, and rely on economic theory to support your stance.
To evaluate Prof. Fourie's argument in the article "Why Growth Matters in South Africa," you can follow these steps:
1. Familiarize yourself with the content of the article. Read the article carefully to understand Prof. Fourie's argument and the evidence he presents to support it.
2. Consider Prof. Fourie's stance on the importance of economic growth in South Africa.
Assess whether his argument aligns with the economic theory and knowledge you have gained in your development economics course. Look for concepts and theories that support or contradict his argument.
3. Evaluate the evidence and data provided by Prof. Fourie.
Examine the sources, methodology, and reliability of the evidence he presents in the article. Consider whether the evidence supports his argument convincingly.
4. Formulate your own stance on the issue. Based on your understanding of the article, economic theory, and knowledge gained in your course, decide whether you agree or disagree with Prof. Fourie's argument. Justify your stance by explaining the reasons and evidence that support your position.
Remember, when analyzing an argument, it is essential to critically evaluate the evidence, consider alternative perspectives, and rely on economic theory to support your stance.
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You are an entrepreneur starting a biotechnology firm. If your research is successful, the technology can be sold for $30million. If your research is unsuccessful, it will be worth nothing. To fund your research, you need to raise $2.8 million. Investors are willing to provide you with $2.8 million in initial capital in exchange for 30% of the unlevered equity in the firm.
a. What is the total market value of the firm withoutleverage?
b. Suppose you borrow $0.7 million. According to MM, what fraction of the firm's equity will you need to sell to raise the additional $2.1 million you need?
c. What is the value of your share of the firm's equity in cases (a) and (b)?
a. The total market value of the firm without leverage is $9.3333 million.
b. You would need to sell 3 times the initial capital to raise the additional $2.1 million.
c. The value of your share of the firm's equity in case (a) is $6.5333 million, and in case (b) is $2.8 million.
a. To determine the total market value of the firm without leverage, we need to calculate the value of the firm's equity without considering any debt. Since the investors are providing $2.8 million in initial capital in exchange for 30% of the unlevered equity, we can calculate the total value of the unlevered equity by dividing the initial capital by the percentage of equity given to the investors:
Total unlevered equity = Initial capital / Percentage of equity given to investors
= $2.8 million / 30%
= $9.3333 million
b. According to the Modigliani-Miller (MM) theorem, the fraction of the firm's equity that needs to be sold to raise the additional $2.1 million can be determined by the formula:
Fraction of equity sold = Amount needed to raise / Initial capital
= $2.1 million / $0.7 million
= 3
Therefore, you would need to sell 3 times the initial capital to raise the additional $2.1 million.
c. To calculate the value of your share of the firm's equity, we can use the following formulas:
Value of your share of equity = Total market value of the firm * Percentage of equity owned
= Total market value of the firm * (1 - Percentage of equity sold)
For case (a), where the firm is not leveraging any debt:
Value of your share of equity in case (a) = $9.3333 million * (1 - 30%)
= $6.5333 million
For case (b), where the firm borrows $0.7 million:
Value of your share of equity in case (b) = $9.3333 million * (1 - (30% + 3 * 30%))
= $2.8 million
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Radford Products adds materials at the beginning of the process in Department A. The following information on physical units for Department A for the month of January is available. Units started in January 892,000 Units completed in January 916,000 Work in process, January 1 (25% complete with respect to conversion) 97,000 Work in process, January 31 (40% complete with respect to conversion) 73,000. Compute the equivalent units for materials costs and for conversion costs using the FIFO method.
According to the question the equivalent units for materials costs and conversion costs using the FIFO method for the given data are both 969,450 units.
To compute the equivalent units for materials costs and conversion costs using the FIFO method, we need to consider the units started and completed in the month of January, as well as the work in process units from January 1st and January 31st.
Equivalent Units for Materials Costs:
The equivalent units for materials costs are calculated based on the number of units that are fully completed and the work in process units that are partially completed in terms of materials.
Units completed in January: 916,000
Work in process, January 1 (25% complete): 97,000 * 25% = 24,250 equivalent units
Work in process, January 31 (40% complete): 73,000 * 40% = 29,200 equivalent units
Total equivalent units for materials costs: 916,000 + 24,250 + 29,200 = 969,450 equivalent units
Equivalent Units for Conversion Costs:
The equivalent units for conversion costs are calculated based on the number of units that are fully completed and the work in process units that are partially completed in terms of conversion.
Units completed in January: 916,000
Work in process, January 1 (25% complete): 97,000 * 25% = 24,250 equivalent units
Work in process, January 31 (40% complete): 73,000 * 40% = 29,200 equivalent units
Total equivalent units for conversion costs: 916,000 + 24,250 + 29,200 = 969,450 equivalent units
Therefore, the equivalent units for materials costs and conversion costs using the FIFO method for the given data are both 969,450 units.
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You sell 100 shares of a stock short at a price of $70 per share.
a. Provide an example of a limit order you might place right after you took the position and indicate how it would work.
b. Provide an example of a stop order you might place right after you took the position and indicate how it would work.
c. After three months, the stock is selling for $64 per share. During the three months you have had the short position the stock paid a dividend of 50 cents per share. What is your total dollar gain or loss on the short position over the three months? (Don't worry about any margin interest.)
a. Place a limit order to buy back the shorted stock at $65 per share to automatically close the position if the stock reaches or falls below that price.
b. Place a stop order to buy back the shorted stock at $75 per share to automatically close the position if the stock reaches or exceeds that price.
c. After three months, the total dollar gain on the short position over the three months is $650, considering the initial short sale proceeds of $7,000, the cost to buy back the shares of $6,400, and the dividends received of $50.
a. Example of a limit order: You might place a limit order to buy back the 100 shares at a price of $65 per share. This limit order would work by instructing your broker to automatically buy back the shares if the stock's price reaches or falls below $65. If the stock reaches this price or lower, the order will be executed, and you would close your short position at that price.
b. Example of a stop order: You might place a stop order to buy back the 100 shares at a price of $75 per share. This stop order would work by instructing your broker to automatically buy back the shares if the stock's price reaches or exceeds $75. If the stock reaches this price or higher, the order will be triggered, and you would close your short position at that price.
c. To calculate the total dollar gain or loss on the short position over the three months, you need to consider the initial short sale proceeds, any dividends paid, and the cost to buy back the shares.
Initial short sale proceeds: 100 shares x $70 = $7,000
Dividends received: 100 shares x $0.50 per share = $50
To buy back the shares, you would need to consider the new stock price of $64 per share.
Cost to buy back shares: 100 shares x $64 = $6,400
Total dollar gain or loss: Initial short sale proceeds - Cost to buy back shares + Dividends received
Total gain/loss = $7,000 - $6,400 + $50 = $650
Therefore, the total dollar gain on the short position over the three months is $650.
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You just came back from Canada, where the Canadian dollar was worth $0.75. You still have C$220 from your trip and could exchange them for dollars at the C\$220 for 1,598 pesos. Calculate the amount of pesos you would receive if you exchange the C$ for pesos at the foreign exchange desk. the nearest whole peso. pesos Should you accept the offer or cash the Canadian dollars in at the airport? -Select- It should be better to accept the offer. It should be better to cash the Canadian dollars in at the airport.
It is better to accept the offer and exchange the Canadian dollars for pesos at the foreign exchange desk.
You just came back from Canada where the Canadian dollar was worth $0.75. You still have C$220 from your trip and could exchange them for dollars at the rate of C$220 for 1,598 pesos.
To calculate the amount of pesos you would receive, we can use the exchange rate of Canadian Dollar to Peso, which is 1 Canadian dollar = 13.635 pesos (since 1 Canadian dollar = $0.75).
Converting C$220 to pesos:
C$220 = (220 x 13.635) pesos = 2,999.7 pesos.
Now, comparing this calculated amount with the offer of 1,598 pesos for C$220, it is evident that the exchange rate offered at the foreign exchange desk is more favorable than the calculated amount.
Therefore, it would be better to accept the offer and exchange the Canadian dollars for pesos at the foreign exchange desk.
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Sara Sanders purchased 50 shares of Apple stock at $190.08 per share using the prevailing minimum initial margin requirement of 55%. She held the stock for exactly 4 months and sold it without any brokerage costs at the end of that period. During the 4-month holding period, the stock paid $1.48 per share in cash dividends. Sara was charged 4.1% annual interest on the margin loan. The minimum maintenance margin was 25%. a. Calculate the initial value of the transaction, the debit balance, and the equity position on Sara's transaction. b. For each of the following share prices, calculate the actual margin percentage, and indicate whether Sara's margin account would have excess equity, would be restricted, or would be subject to a margin call: (1) $174.12, (2) $206.85, and (3) $122.61. c. Calculate the dollar amount of (1) dividends received and (2) interest paid on the margin loan during the 4-month holding period. d. Use each of the following sale prices at the end of the 4-month holding period to calculate Sara's annualized rate of return on the Apple stock transaction: (1) $184.02, (2) S194.36, and (3) $205.63.
a. Initial value: $9,504, Debit balance: $4,276.80, Equity position: $5,227.20.
b. (1) Margin percentage: -23.59%, restricted;
(2) Margin percentage: -19.68%, restricted;
(3) Margin percentage: -33.86%, subject to margin call.
c. (1) Dividends received: $74;
(2) Interest paid on margin loan: $177.22.
d. (1) Annualized rate of return: -58.34%;
(2) Annualized rate of return: -57.73%;
(3) Annualized rate of return: -56.55%.
a. The initial value of the transaction is given by the number of shares purchased multiplied by the purchase price per share:Initial Value = Number of shares * Purchase price per share
Initial Value = 50 shares * $190.08/share
Initial Value = $9,504
The debit balance is the amount Sara borrowed from the brokerage firm to purchase the stock, which is the difference between the initial value and the initial margin requirement:
Debit Balance = Initial Value - (Initial Margin Requirement * Initial Value)
Debit Balance = $9,504 - (0.55 * $9,504)
Debit Balance = $9,504 - $5,227.20
Debit Balance = $4,276.80
The equity position is the difference between the initial value and the debit balance:
Equity Position = Initial Value - Debit Balance
Equity Position = $9,504 - $4,276.80
Equity Position = $5,227.20
b. calculate the actual margin percentage, and indicate whether Sara's margin account would have excess equity, would be restricted, or would be subject to a margin call:(1) $174.12:Margin Percentage = ((Sale Price - Debit Balance) / Sale Price) * 100
Margin Percentage = (($174.12 - $4,276.80) / $174.12) * 100
Margin Percentage = (-$4,102.68 / $174.12) * 100
Margin Percentage = -23.59%
Sara's margin account would be restricted because the margin percentage is below the minimum maintenance margin requirement of 25%.
(2) $206.85:Margin Percentage = ((Sale Price - Debit Balance) / Sale Price) * 100
Margin Percentage = (($206.85 - $4,276.80) / $206.85) * 100
Margin Percentage = ($-4,069.95 / $206.85) * 100
Margin Percentage = -19.68%
Sara's margin account would be restricted because the margin percentage is below the minimum maintenance margin requirement of 25%.
(3) $122.61:Margin Percentage = ((Sale Price - Debit Balance) / Sale Price) * 100
Margin Percentage = (($122.61 - $4,276.80) / $122.61) * 100
Margin Percentage = ($-4,154.19 / $122.61) * 100
Margin Percentage = -33.86%
Sara's margin account would be subject to a margin call because the margin percentage is below the minimum maintenance margin requirement of 25%.
c. Calculate the dollar amount of (1) dividends received and (2) interest paid on the margin loan during the 4-month holding period:(1) Dividends Received:Dividends Received = Dividends per share * Number of shares
Dividends Received = $1.48/share * 50 shares
Dividends Received = $74
Sara received $74 in dividends during the 4-month holding period.
(2) Interest Paid on the Margin Loan:First, we need to calculate the average daily debit balance:
Average Daily Debit Balance = (Debit Balance * Number of days) / Number of months
Average Daily Debit Balance = ($4,276.80 * 120 days) / 4 months
Average Daily Debit Balance = $128,304
Interest Paid = (Annual Interest Rate * Average Daily Debit Balance) / 365 * Number of days
Interest Paid = (0.041 * $128,304) / 365 * 120
Interest Paid = $177.22
Sara paid $177.22 in interest on the margin loan during the 4-month holding period.
d. Use each of the following sale prices at the end of the 4-month holding period to calculate Sara's annualized rate of return on the Apple stock transaction:(1) $184.02:Rate of Return = ((Sale Price - Initial Value + Dividends Received - Interest Paid) / Initial Value) * (365 / Number of days)
Rate of Return = (($184.02 - $9,504 + $74 - $177.22) / $9,504) * (365 / 120)
Rate of Return = (-$5,552.20 / $9,504) * (3.0417)
Rate of Return = -0.5834
Sara's annualized rate of return is -58.34%.
(2) $194.36:Rate of Return = ((Sale Price - Initial Value + Dividends Received - Interest Paid) / Initial Value) * (365 / Number of days)
Rate of Return = (($194.36 - $9,504 + $74 - $177.22) / $9,504) * (365 / 120)
Rate of Return = (-$5,513.86 / $9,504) * (3.0417)
Rate of Return = -0.5773
Sara's annualized rate of return is -57.73%.
(3) $205.63:Rate of Return = ((Sale Price - Initial Value + Dividends Received - Interest Paid) / Initial Value) * (365 / Number of days)
Rate of Return = (($205.63-$9,504 + $74 - $177.22) / $9,504) * (365 / 120)
Rate of Return = (-$5,401.59 / $9,504) * (3.0417)
Rate of Return = -0.5655
Sara's annualized rate of return is -56.55%.
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Urban infrastructures that support a community are sometimes in the news; we seldom think about them except when there is a disruption of service. A small city has just replaced a water storage tank and associated feeders from it throughout the community. It is estimated that the annual service requirements will be $35,000 the first year, with $5,000 increases in each subsequent year for 9 years. The community’s time value of money is 4%.
Determine the present worth of these maintenance expenses using each of two different methods. This will serve as a check on your work.
By calculating both the Present Worth (PW) Method and Equivalent Uniform Annual Cost (EUAC) Method we can compare the results and ensure they match, providing a check on our work.
To determine the present worth of the maintenance expenses for the water storage tank, we can use two different methods: the Present Worth (PW) method and the Equivalent Uniform Annual Cost (EUAC) method.
Present Worth (PW) Method:
Using this method, we discount each year's service requirement to its present value and sum them up. The formula for calculating the present worth is:
PW = CF1/(1+i)^1 + CF2/(1+i)^2 + ... + CFn/(1+i)^n
Given:
Service requirement in the first year = $35,000
Increase in service requirement each subsequent year = $5,000
Time value of money (interest rate) = 4%
Using the formula and substituting the values, we can calculate the present worth:
PW = $35,000/(1+0.04)^1 + ($35,000 + $5,000)/(1+0.04)^2 + ... + ($35,000 + $5,000 × 9)/(1+0.04)^10
Equivalent Uniform Annual Cost (EUAC) Method:
In this method, we find the equivalent uniform annual cost that would be equivalent to the series of maintenance expenses over the given period. The formula for calculating the EUAC is:
EUAC = PW × (A/P, i, n)
Using the calculated PW from the previous method, we can find the EUAC by multiplying it by the annuity factor for the given interest rate and time period.
By calculating both the PW and EUAC, we can compare the results and ensure they match, providing a check on our work.
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A local restaurateur, Cho Senn, is considering three options for his new Asian fusion restaurant. Option A - called Midtown - will have annual fixed costs of $40,500 and variable costs of $3.30 per customer. Option B - called Market - will have annual fixed costs of $29,500 and variable costs of $4.25 per customer. Finally Option C called Mall - has annual fixed cost of $17,500 and variable costs of $5.05 per customer. At what volumes are the costs of Option B and Option C the same? Your Answer: Answer
To find the volume at which the costs of Option B and Option C are the same, we need to set up an equation. The costs of Option B and Option C will be the same when the volume is 15,000 customers.
Let x represent the volume or number of customers.
For Option B:
Fixed costs = $29,500
Variable costs = $4.25 per customer
Total costs =
Fixed costs + (Variable costs * Volume) = $29,500 + ($4.25 * x)
For Option C:
Fixed costs = $17,500
Variable costs = $5.05 per customer
Total costs =
Fixed costs + (Variable costs * Volume) = $17,500 + ($5.05 * x)
Now, we can set the two equations equal to each other and solve for x:
$29,500 + ($4.25 * x) = $17,500 + ($5.05 * x)
Subtract $4.25x from both sides:
$29,500 = $17,500 + ($0.80 * x)
Subtract $17,500 from both sides:
$12,000 = $0.80x
Divide both sides by $0.80:
x = $12,000 / $0.80
x = 15,000
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Cullumber Hardware Store completed the following merchandising transactions in the month of May. At the beginning of May, the ledger of Cullumber showed Cash of $ 5,000 and Owner’s Capital of $ 5,000. I need help with
The transactions that took place in the Cullumber Hardware Store for the month of May are given below:May 2nd: Purchased merchandise on account from Wholesaler for $ 2,500.May 3rd: Paid $ 500 for advertising expense.May 7th: Sold merchandise on account for $ 4,000 with a cost of $ 2,000.
May 10th: Received $ 2,000 from the customer to whom the merchandise was sold on May 7th.May 12th: Purchased merchandise on account from Supplier for $ 2,500.May 16th: Paid the Wholesaler $ 1,000 on account. May 20th: Sold merchandise for $ 7,500 in cash. The cost of goods sold was $ 3,500.May 25th: Paid salaries of $ 1,500 to employees. May 28th: Paid $ 2,000 to Supplier on account. May 30th: Cullumber withdrew $ 1,000 for personal use by the owner of the business. To record the above transactions, a ledger can be maintained to keep track of the accounts. The journal entries are recorded in the general journal. The balances of the accounts are updated in the T-account.The net income is the amount earned after deducting all the expenses incurred in the business. The income statement is prepared to find out the net income. The balance sheet shows the assets and liabilities of the company at a particular point in time. At the end of May, the ledger of Cullumber showed the balance of Cash as $ 8,000. The Owner's Capital account had a balance of $ 4,500, and the total revenue earned by the business in May was $ 11,000. The cost of goods sold was $ 5,500, and the total expenses incurred were $ 3,000. Hence, the net income earned by the business is $ 5,500.
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juan lamora started four entrepreneurial ventures between 2014 and 2016, and in 2017 he was managing all four ventures at once. in the language of entrepreneurship, juan is a(n) .
In the language of entrepreneurship, Juan Lamora can be described as a "serial entrepreneur."
A serial entrepreneur is an individual who starts multiple entrepreneurial ventures sequentially or simultaneously. Juan's involvement in multiple ventures simultaneously suggests his ability to manage and operate multiple businesses concurrently, which is a characteristic of a serial entrepreneur.
Juan Lamora's pursuit of multiple entrepreneurial ventures showcases his entrepreneurial spirit and versatility. Being a serial entrepreneur, Juan demonstrates a keen ability to identify and capitalize on various business opportunities. By starting four ventures within a short timeframe, he exhibits a drive for innovation, growth, and risk-taking.
Managing multiple ventures simultaneously requires exceptional organizational skills, effective delegation, and the ability to handle diverse challenges and opportunities across different industries or markets. Juan's capacity to navigate and oversee all four ventures at once demonstrates his entrepreneurial acumen, adaptability, and determination.
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In 2018, your company purchased a front-end loader for $150,000, a dump truck for $85,000, and a dumping trailer (pup) for the dump truck for $38,000. The front-end loader was placed in service in April and the dump truck and dumping trailer were placed in service in July. In 2019, your company purchased three side-dump trailers for $65,000 each and three tractors to pull the side-dump trailers for $68,000 each, which were placed in service in May. In December of 2020, your company purchased a dump truck for $87,000. Determine the depreciation allowed for tax purposes for the 2020 tax year. The tax year runs from January to December. Ignore all Section 179 deductions. Hint: The tractors have a different recovery period than the rest of the equipment.
In December of 2020, the company purchased a dump truck for $87,000. It needs to determine the depreciation allowed for tax purposes for the 2020 tax year. The tax year runs from January to December. It is to be noted that ignoring all Section 179 deductions will help in finding the depreciation allowed for tax purposes.
For determining the depreciation for the tax year 2020, straight-line depreciation method will be used, as this is the method used for tax purposes.The calculation of the depreciation for the tax year 2020 can be done by multiplying the straight-line depreciation rate by the depreciable basis of the dump truck.
It will be calculated by subtracting the salvage value from the cost of the asset and will give the amount of the asset's value that can be depreciated. Depreciation allowed for tax purposes for the 2020 tax year will be: Depreciable basis of the dump truck = $87,000 - 0 = $87,000 Note that, salvage value is ignored as it is not mentioned in the problem statement.As per IRS Publication 946, the MACRS table shows that the recovery period for trucks is 5 years.
According to this, the depreciation rate for the truck is 20%.Straight-line depreciation rate for 2020 tax year = 20%/5 = 4%Depreciation allowed for tax purposes for the 2020 tax year = 4% × $87,000 Depreciation allowed for tax purposes for the 2020 tax year = $3480Therefore, the depreciation allowed for tax purposes for the 2020 tax year is $3480.
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The social contract between employer and employee has changed dramatically in recent years due to environmental changes such as globalization, outsourcing, increased competition, technology, and the differing values of different generations of workers.?
For each example below, indicate whether it is typical of the old social contract or the new social contract.
Example Old Social Contract New Social Contract
Lovia likes knowing that she will get a raise every year, even if it’s a small one.? Premier Machinery promotes all its machine operators who perform satisfactorily to Machine Operator 2 after three years on the job.? Sophia takes personal responsibility for her career growth.? You have just been hired as the VP of human resources for a company with three divisions that have been struggling with their HR management. They have been using traditional approaches of using online job boards, employee referrals, and college job fairs to hire full-time employees. One of your first tasks is to help each division select an innovative approach to HRM that fits its needs.?
Your consulting division is finding that competition for experienced business consultants who earn clients’ trust is intense. Furthermore, once a good consultant is hired, it is important to retain that person so they don’t go elsewhere—taking their clients with them. What would be the most appropriate HRM approach??
a. Use compensation surveys to find out what average pay and benefits are in the industry and make sure the division’s compensation is in line with that of its competitors.
b. Find out what kind of work environment and benefits consultants most value and become well-known for providing these things.
c. Contract with consultants on a short-term basis to lower costs and bring in different expertise as needed.
Given the intense competition for experienced business consultants and the need to retain them, the most appropriate HRM approach would be option b: Find out what kind of work environment and benefits consultants most value and become well-known for providing these things.
This approach focuses on understanding and fulfilling the preferences and needs of the consultants, which can help attract and retain them in a competitive market.
1. Lovia likes knowing that she will get a raise every year, even if it’s a small one.
- This example is typical of the old social contract because it emphasizes the expectation of a yearly raise, regardless of the amount.
2. Premier Machinery promotes all its machine operators who perform satisfactorily to Machine Operator 2 after three years on the job.
- This example is typical of the old social contract as it follows a structured promotion timeline based on job performance.
3. Sophia takes personal responsibility for her career growth.
- This example is typical of the new social contract because it highlights the individual's accountability for their own career development.
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If+we're+examining+data+and+we+know+that+16%+of+all+employees+have+been+put+on+some+sort+of+corrective+action+plan,+what+is+the+first+problem+we+have+with+this+information?
The problem is it's just one data point, so we don't know if that's low or high.
A corrective action plan, or CAP, is a document designed to achieve specific goals in the resolution of unpleasant behaviors. These document what participants should do to remedy an unfavorable action.
The 5-Step Method: How to Put CAP into Action
Step 1: Determine whether the scenario requires it. Not every problem necessitates corrective action.
Step 2: Perform a root-cause analysis (if necessary).
Step 3: Collaborate on the plan as a group.
Step 4: Communicate and put it into action.
Step 5: Monitor efficacy with follow-ups.
Once the root causes have been identified, corrective procedures such as engineering controls, process improvements, or personal protective equipment (PPE) are usually implemented.
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Actual Question - If we're examining data and we know that 16% of all employees have been put on some sort of corrective action plan, what is the first problem we have with this information?
The local jewelry store is running a special on gold bracelets for the month of February. Each of these bracelets sells for $82, but the jewelry store's cost for the bracelet is just $30. The salesperson earns a $4 commission on each bracelet sold. Fixed costs at the store run $2,304 per month. The store's sales volume is currently 60 bracelets each month. (a) What is the store's margin of safety per month, in units? Margin of safety in units units
The jewelry store has a margin of safety of 12 units per month, indicating the number of units by which sales can drop before reaching the breakeven point. The margin of safety helps measure the store's cushion against unexpected declines in sales.
The store's margin of safety per month in units, we need to determine the difference between the actual sales volume and the breakeven point.
Selling price per bracelet = $82
Cost per bracelet = $30
Commission per bracelet = $4
Fixed costs per month = $2,304
Current sales volume per month = 60 bracelets
The breakeven point, we can use the formula:
Breakeven Point (in units) = Fixed Costs / (Selling Price per Unit - Variable Costs per Unit)
Variable Costs per Unit = Cost per bracelet + Commission per bracelet
Variable Costs per Unit = $30 + $4 = $34
Breakeven Point (in units) = $2,304 / ($82 - $34) = $2,304 / $48 = 48 units
The margin of safety, we subtract the breakeven point from the actual sales volume:
Margin of Safety (in units) = Actual Sales Volume - Breakeven Point
Margin of Safety (in units) = 60 units - 48 units = 12 units
Therefore, the store's margin of safety per month is 12 units.
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Answer as soon as possible
1. Your friend is conducting a simulation experiment to test the effect of different demand distributions on the average profit. He finds that the average profit over 100 replications for demand distribution A is 7.48, for demand distribution B is 8.26. He claims that distribution A is clearly worse than B, based on the average profit. What concerns might a statistically literate person have with his statement? you developed a problem for the case where 40% of customers make a purchase, while 60% of customers ask questions before purchasing. You were asked to run 200 replications.
2. Why was it necessary to generate a customer type ("buy" or "ask and buy") for each individual customer (replication), rather than saying 80 customers ( = 40% of 200) only purchased and 120 customers ( = 60% of 200) asked and purchased?
A statistically literate person might have concerns with your friend's statement because it is based solely on the average profit from the simulations. To make a more reliable conclusion, additional statistical analysis is needed. Some concerns might include:
1. Variability: The average profit alone does not capture the variability of the profit across the replications. It is important to consider the spread of profits and not just the average.
2. Sample size: The number of replications (100) might not be sufficient to draw statistically significant conclusions. A larger sample size would provide more reliable results.
3. Confidence intervals: Without confidence intervals, it is difficult to determine if the difference in average profit between distributions A and B is statistically significant. Confidence intervals provide a range within which the true average profit is likely to fall.
4. Hypothesis testing: A statistically literate person might want to conduct hypothesis testing to determine if the difference in average profit between distributions A and B is statistically significant. This involves setting up null and alternative hypotheses and performing appropriate statistical tests.
Regarding the second question, it was necessary to generate a customer type ("buy" or "ask and buy") for each individual customer in order to accurately simulate the behaviour of the customers. This allows for a more realistic representation of the purchasing patterns and their impact on the average profit. Simply stating that 40% purchased and 60% asked and purchased would not account for the variation within each replication.
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I am the manager of a business. How to hire combination of part-time labour and full-time labour in my business effectively?
To effectively hire a combination of part-time and full-time labor in your business, consider the specific needs and requirements of each role, carefully assess workload and scheduling, advertise job openings accordingly, and provide clear job descriptions and expectations to potential candidates.
To ensure effective hiring of a combination of part-time and full-time labor, it is important to evaluate the tasks and responsibilities of each position. Identify which roles require a full-time commitment and which can be fulfilled with part-time employees. Assess the workload and scheduling requirements to determine the optimal balance between part-time and full-time staff.
Advertise job openings clearly, specifying whether they are part-time or full-time positions. Provide detailed job descriptions, including expectations regarding working hours, availability, and potential flexibility. During the selection process, consider candidates who meet the specific requirements for each role, ensuring they understand the nature of the employment (part-time or full-time) and their respective responsibilities. Effective communication and clear expectations will help you build a well-rounded workforce with a combination of part-time and full-time labor.
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If somebody buys a bond (fixed interest security) of company B she: None of these responses Owns a part of company B Has lent money to company B Is liable for the debts of company B
If somebody buys a bond (fixed interest security) of company B, they have lent money to company B. This means option, "Has lent money to company B," C is the correct response.
When an individual buys a stakeholders, they are essentially acting as a lender to the issuer of the bond, which in this case is company B. Bonds are fixed interest securities that represent a loan made by the bondholder to the issuer. By purchasing a bond, the buyer is providing funds to the company in exchange for regular interest payments (fixed interest) and the return of the principal amount at maturity.
Unlike owning shares of stock (equity securities), owning a bond does not make the buyer a part-owner or shareholder of the company. Instead, bondholders have a creditor relationship with the issuer, entitling them to receive the agreed-upon interest payments and the repayment of the principal amount upon maturity.
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The Complete question is
If somebody buys a bond (fixed interest security) of company B she:
A. None of these responses
B. Owns a part of company B
C. Has lent money to company B
D. Is liable for the debts of company B
You are starting your first year at college. Your parents give you $500 per month to spend on college expenses, or other personal expenses. Graph the budget constraint. (You can draw the graph on a paper and submit a picture).
To graph your budget constraint, plot the points (0,500) and (500,0) and connect them with a straight line. This represents the limit of your spending on college and personal expenses given your monthly income of $500.
To graph the budget constraint for your college expenses, you need to consider the amount of money you receive each month from your parents and the different expenses you have. In this case, you receive $500 per month. Let's assume you have two main categories of expenses: college expenses and personal expenses.
To graph the budget constraint, you can create a simple coordinate plane where the x-axis represents the amount of money spent on college expenses, and the y-axis represents the amount of money spent on personal expenses. The total amount of money you receive from your parents, $500, will be the limit of your budget constraint.
To plot the budget constraint, start by marking the point (0,500) on the graph, which means you spend $0 on college expenses and $500 on personal expenses. Then, mark the point (500,0), which represents spending all $500 on college expenses and none on personal expenses.
Now, connect these two points with a straight line. This line represents your budget constraint. Any point on or below this line is within your budget, while any point above the line is not affordable with your current income.
Remember that the budget constraint can change if your income or expenses change. So, it's important to keep track of your spending and adjust accordingly.
In summary, to graph your budget constraint, plot the points (0,500) and (500,0) and connect them with a straight line. This represents the limit of your spending on college and personal expenses given your monthly income of $500.
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Monthly payment amount - 120 d.e. How much will the 24% per annum
set-top box accumulate in 3 years with monthly accrual?
The set-top box will accumulate approximately 226.333 SAR in 3 years with monthly accrual at a 24% per annum interest rate.
To calculate the accumulated value of the set-top box with monthly accrual over a period of 3 years at an annual interest rate of 24%, we can use the formula for compound interest:
Accumulated Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)
In this case, the principal is the monthly payment amount of 120 SAR, the interest rate is 24% per annum, and the compounding period is monthly (12 months in a year).
First, we need to calculate the number of compounding periods over 3 years:
Number of Compounding Periods = Number of Months in a Year * Number of Years = 12 * 3 = 36
Now, we can calculate the accumulated value:
Accumulated Value = 120 * (1 + (0.24 / 12))^(12 * 3)
Accumulated Value = 120 * (1 + 0.02)^36
Accumulated Value = 120 * (1.02)^36
Accumulated Value ≈ 120 * 1.8861
Accumulated Value ≈ 226.333
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The brand manager for Wolverine Snacks, Inc. is finalizing plans to launch a new line extension of the company’s popular peanut butter bites. The product will be sold through wholesalers who will sell to retailers for onward sale to consumers. Her team has settled on a retail price of $100 per case for the product. Retailers earn a margin of 55%, wholesalers earn a margin of 30%, and Wolverine Snacks’ policy requires products to earn a margin of 60% percent.
a) What will be the cost per case to retailers? (3 pts)
b) What will be the cost per case to wholesalers? (3 pts)
c) What will be the wholesalers’ dollar margin per case? (3 pts)
d) If 100,000 cases of the product are sold, what will be Wolverine Snacks’: i) total sales revenue? (3 pts) ii) total contribution? (3 pts)
The cost per case to retailers can be calculated by subtracting the retailer's margin from the retail price. In this case, the retailer's margin is 55% of the retail price, so the cost per case to retailers would be $100 - ($100 * 0.55) = $45.
The cost per case to wholesalers can be calculated by subtracting the wholesaler's margin from the cost per case to retailers. The wholesaler's margin is 30% of the cost per case to retailers, so the cost per case to wholesalers would be $45 - ($45 * 0.30) = $31.50.c) The wholesalers' dollar margin per case can be calculated by subtracting the cost per case to wholesalers from the cost per case to retailers. The wholesalers' dollar margin per case would be $45 - $31.50 = $13.50.d) i) To calculate the total sales revenue, we need to multiply the number of cases sold (100,000) by the retail price per case ($100). So, the total sales revenue would be $100 * 100,000 = $10,000,000.ii) The total contribution can be calculated by subtracting the total cost per case to Wolverine Snacks from the total sales revenue. The total cost per case to Wolverine Snacks would be the cost per case to retailers, which is $45. Therefore, the total contribution would be ($100 - $45) * 100,000 = $5,500,000.
the cost per case to retailers is $45, the cost per case to wholesalers is $31.50, and the wholesalers' dollar margin per case is $13.50. If 100,000 cases of the product are sold, Wolverine Snacks would generate a total sales revenue of $10,000,000 and a total contribution of $5,500,000.
It's important for the brand manager to consider these figures when finalizing plans for the new line extension. The cost per case to retailers should be set at a price that allows them to earn their desired margin of 55%. Similarly, the cost per case to wholesalers should be determined in a way that allows them to earn their desired margin of 30%.
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a) The cost per case to retailers is $45.
b) The cost per case to wholesalers is $70.
c) The wholesalers' dollar margin per case is -$25.
d) i) The total sales revenue is $10,000,000.
d) ii) The total contribution is $5,500,000.
a) The cost per case to retailers can be calculated by subtracting the retailer's margin from the retail price per case. In this case, the retail price per case is $100 and the retailer's margin is 55%. To find the cost per case to retailers, we need to subtract 55% of $100 from $100.
Retailer's margin = 55% of $100 = $55
Cost per case to retailers = $100 - $55 = $45
b) The cost per case to wholesalers can be calculated in a similar manner. The wholesaler's margin is 30%, so we subtract 30% of $100 from $100 to find the cost per case to wholesalers.
Wholesaler's margin = 30% of $100 = $30
Cost per case to wholesalers = $100 - $30 = $70
c) The wholesalers' dollar margin per case can be calculated by subtracting the cost per case to wholesalers from the cost per case to retailers. In this case, the cost per case to wholesalers is $70 and the cost per case to retailers is $45.
Wholesalers' dollar margin per case = Cost per case to retailers - Cost per case to wholesalers
= $45 - $70 = -$25
d) i) The total sales revenue can be calculated by multiplying the retail price per case by the number of cases sold. In this case, the retail price per case is $100 and the number of cases sold is 100,000.
Total sales revenue = Retail price per case x Number of cases sold
= $100 x 100,000 = $10,000,000
ii) The total contribution can be calculated by subtracting the total cost per case from the total sales revenue. In this case, the total cost per case is the cost per case to retailers, which is $45, multiplied by the number of cases sold.
Total contribution = Total sales revenue - (Cost per case to retailers x Number of cases sold)
= $10,000,000 - ($45 x 100,000) = $5,500,000
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A packaged food company manufactures microwave oven-ready meals, which it provides to convenience store chains that sell them to hungry people wanting a quick, hot meal. The nonrecyclable, used meal packages are collected by the municipal waste systems operated by local cities Based on this situation, match up the entities and their categories. Packaged food company Convenience store chain Hungry student Municipal waste systems City taxpayers
Based on the given situation, we can match up the entities and their categories as follows:
1. Packaged food company - Business entity
2. Convenience store chain - Retail entity
3. Hungry student - Consumer entity
4. Municipal waste systems - Government entity
5. City taxpayers - Individuals or households
Please note that these categories are general and may vary depending on the context. The packaged food company is a business entity that manufactures microwave oven-ready meals. The convenience store chain is a retail entity that sells these meals to hungry students or consumers looking for a quick, hot meal. The municipal waste systems are government entities responsible for collecting and managing nonrecyclable used meal packages. City taxpayers are individuals or households who contribute to funding these waste systems through taxes.
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If the united states imports purses, then the quantity of purses produced in the united states will ___ and the quantity of purses purchased by consumers in the united states will ___
If the United States imports purses, then the quantity of purses produced in the United States will decrease and the quantity of purses purchased by consumers in the United States will increase.
Imports refers to the process of bringing goods or products from another country into the United States for consumption or sale. When the United States imports purses, it means that these purses are being sourced from foreign countries rather than being domestically produced.
This leads to a decrease in the quantity of purses produced within the United States since the demand is being met through imports.
On the other hand, the quantity of purses purchased by consumers in the United States increases because they now have access to a wider variety of imported purses from different countries.
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A financial agreement requires the payment of $1200 in 9 months, $1400 in 18 months, and $1600 in 30 months. When would an alternative single payment of $4000 have to be made if money is worth 7% compounded quarterly? 14. Graham purchased a business by agreeing to make three payments of $12000 each in one year, two years, and four years. Because of cash flow difficulties in the first year, he renegotiated the payment schedule so that he would pay $16000 in 18 months, $10000 in 30 months, and a third payment of $10000. In how many years should he make the third payment if interest is 7.2% compounded semi-annually?
An alternative single payment of $4000 have to be made if money is worth 7% compounded quarterly, It will require around 3.2 years to pay $4000.
Let's use the transactions to figure out how much is left over;
A = 4200 * (1 + 0.0175)¹⁰ following 30 months or 2.5 years)
4995.667 = 4000 * (1 + 0.0175)⁴t)
3.2 years = t
It will require around 3.2 years to pay $4000
Since Graham bought the business the sum he will pay would be same in both the arrangement. since in second rethought bargain he will paying is equivalent to the sum paid in unique arrangement so let the ideal opportunity for third exchange be x arrangement of a half year the pace of interest =7.2% .since the interest is accumulated semi every year the interest for semi-year would be 3.2% so the aggregate sum would incorporate the interest
$(12000) ×((100+3.6)/100)²+(12000)*
((100+3.6)/100)⁴+(12000)*
((100+3.6)/100)⁸ = $(16000)* ((100+3.6)/100)³+(10000)* (100+3.6)⁵ +
(10000) × ((100+3.6)/100)ˣ
computing x from the situation above,we get
x=8
so there would be 8 arrangement of a half year that Graham needs to pay the last exchange of $10000 . So 8 × 6 months four years 4 years, so Graham needs to pay the last exchange of $10000 before the finish of fourth year
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