You are 30 years old. Your annual income is $120000 annual income. You will retire at the age of 60 years and will live till the age of 80 years. You want per year $80000 return. FVA 10% and PVA 5%. RRSP $20,000 at 10% and consider CPP 5.7%. What will be your annual payment?

Answers

Answer 1

Your annual payment to achieve a $80,000 return per year during retirement would be approximately $1,302,601.27.

To calculate the annual payment you would need to make in order to receive a $80,000 return per year during your retirement, we can follow these steps:

Determine the number of years you will be in retirement:

Retirement age - Current age = 60 - 30 = 30 years

Calculate the future value (FV) of the desired annual return using the FVA formula:

FV = Pmt * [(1 + r)^n - 1] / r

Pmt = Desired annual return = $80,000

r = Interest rate = 10% = 0.1

n = Number of years in retirement = 30

FV = $80,000 * [(1 + 0.1)^30 - 1] / 0.1

Calculate the present value (PV) of the future value using the PVA formula:

PV = FV / [(1 + r)^n]

r = Interest rate = 5% = 0.05

n = Number of years until retirement = 30

PV = FV / [(1 + 0.05)^30]

Determine the annual payment required to achieve the desired future value at the given interest rate using the PVA formula:

Pmt = PV / [((1 + r)^n - 1) / r]

r = Interest rate = 5% = 0.05

n = Number of years until retirement = 30

Pmt = PV / [((1 + 0.05)^30 - 1) / 0.05]

Now let's calculate the values:

Step 2:

FV = $80,000 * [(1 + 0.1)^30 - 1] / 0.1

= $80,000 * [1.1^30 - 1] / 0.1

= $3,409,621.38

Step 3:

PV = $3,409,621.38 / [(1 + 0.05)^30]

= $3,409,621.38 / (1.05^30)

= $1,073,064.41

Step 4:

Pmt = $1,073,064.41 / [((1 + 0.05)^30 - 1) / 0.05]

= $1,073,064.41 / [(1.05^30 - 1) / 0.05]

= $1,073,064.41 / (2.646644 - 1) / 0.05]

= $1,073,064.41 / 1.646644 / 0.05

= $1,073,064.41 / 0.82332

= $1,302,601.27

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Related Questions

Sales 2019 2021 $ 654,043 323,081 Cost of goods sold Accounts receivable. 2020 $ 433,141 213,839 25,339 $ 357,968 178,654 24,485 2018 $ 253,878 125,400 2017 $ 193,800 94,962 31,786 14,852 13,275 Compute trend percents for the above accounts, using 2017 as the base year. For each of the three accounts, state whether the situation as revealed by the trend percents appears to be favorable or unfavorable. Trend Percent for Net Sales: Numerator Denominator: Trend percent 2021: 7 2020: 7 2019: 2018: 2017: Is the trend percent for Net Sales favorable or unfavorable? Trend Percent for Cost of Goods Sold: Denominator: Numerator: Trend percent 7 2021: 2020: 2019: W * . # % % Numerator: 2021: 2020: 1 2019: 2018: 1 2017: 1 Is the trend percent for Cost of Goods Sold favorable or unfavorable? Trend Percent for Accounts Receivable: Numerator: Denominator: 2021: 2020: 2019: 1 2018: 2017: Is the trend percent for Accounts Receivable favorable or unfavorable?

Answers

- Net Sales: Favorable trend

- Cost of Goods Sold: Unfavorable trend

- Accounts Receivable: Unfavorable trend

To compute the trend percents for the given accounts, we will use 2017 as the base year. Here are the calculations:

Trend Percent for Net Sales:

Numerator: 2021 Sales - 2017 Sales = $323,081 - $193,800 = $129,281

Denominator: 2017 Sales = $193,800

Trend percent 2021: (Numerator / Denominator) * 100 = ($129,281 / $193,800) * 100 ≈ 66.74%

Trend Percent for Cost of Goods Sold:

Numerator: 2021 COGS - 2017 COGS = $178,654 - $94,962 = $83,692

Denominator: 2017 COGS = $94,962

Trend percent 2021: (Numerator / Denominator) * 100 = ($83,692 / $94,962) * 100 ≈ 88.09%

Trend Percent for Accounts Receivable:

Numerator: 2021 Accounts Receivable - 2017 Accounts Receivable = $24,485 - $13,275 = $11,210

Denominator: 2017 Accounts Receivable = $13,275

Trend percent 2021: (Numerator / Denominator) * 100 = ($11,210 / $13,275) * 100 ≈ 84.47%

Now, let's determine whether each trend percent is favorable or unfavorable:

- Trend Percent for Net Sales: The trend percent for Net Sales is 66.74%. A higher trend percent indicates a favorable situation, as it implies an increase in sales compared to the base year.

- Trend Percent for Cost of Goods Sold: The trend percent for Cost of Goods Sold is 88.09%. A higher trend percent in this case is unfavorable since it implies an increase in the cost of goods sold compared to the base year.

- Trend Percent for Accounts Receivable: The trend percent for Accounts Receivable is 84.47%. A higher trend percent indicates an unfavorable situation, as it implies an increase in the amount of outstanding accounts receivable compared to the base year.

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A corporate expects to receive $37,011 each year for 15 years if a particular project is undertaken. There will be an initial investment of $114,802. The expenses associated with the project are expected to be $7,455 per year. Assume straight-line depreciation, a 15-year useful life, and no salvage value. Use a combined state and federal 48% marginal tax rate, MARR of 8%, determine the project's after-tax net present worth. Enter your answer as follow: 123456.78

Answers

To calculate the project's after-tax net present worth (ATNPW), we need to consider the cash flows, the tax rate, and the minimum attractive rate of return (MARR).

First, let's calculate the annual after-tax cash flows by subtracting the expenses from the expected annual revenue:

Annual after-tax cash flows = Expected annual revenue - Expenses

Annual after-tax cash flows = $37,011 - $7,455

Annual after-tax cash flows = $29,556

Next, let's calculate the depreciation expense per year by dividing the initial investment by the useful life of the project:

Depreciation expense per year = Initial investment / Useful life

Depreciation expense per year = $114,802 / 15

Depreciation expense per year = $7,653.47

Now, we can calculate the taxable income per year by subtracting the depreciation expense from the annual after-tax cash flows:

Taxable income per year = Annual after-tax cash flows - Depreciation expense per year

Taxable income per year = $29,556 - $7,653.47

Taxable income per year = $21,902.53

Next, we can calculate the tax liability per year by multiplying the taxable income by the marginal tax rate:

Tax liability per year = Taxable income per year * Marginal tax rate

Tax liability per year = $21,902.53 * 0.48

Tax liability per year = $10,513.21

Now, let's calculate the after-tax cash flows by subtracting the tax liability from the annual after-tax cash flows:

After-tax cash flows = Annual after-tax cash flows - Tax liability per year

After-tax cash flows = $29,556 - $10,513.21

After-tax cash flows = $19,042.79

Finally, we can calculate the project's after-tax net present worth (ATNPW) by using the formula:

ATNPW = Initial investment - Present value of after-tax cash flows

ATNPW = -$114,802 + ($19,042.79 * (1 - (1 + MARR)^-15) / MARR)

ATNPW = -$114,802 + ($19,042.79 * (1 - (1 + 0.08)^-15) / 0.08)

ATNPW = -$114,802 + ($19,042.79 * (1 - 0.3207) / 0.08)

ATNPW = -$114,802 + ($19,042.79 * 0.6793 / 0.08)

ATNPW = -$114,802 + ($12,949.71 / 0.08)

ATNPW = -$114,802 + $161,871.38

ATNPW = $47,068.38

Therefore, the project's after-tax net present worth is $47,068.38.

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After preparing and posting the closing entries for revenues and expenses, the income summary account has a debit balance of $33,000 The entry to close the income summary account in a corporation will be Multiple Choice Debit Retained eamings $33,000, credit Income Summary $33,000 Debit Income Summary $33.000, credit Retained earnings $33,000 Debt Income Summery $33,000, credit Share Capital $33,000 Credit Share Capital $33.000 debe Dividends $33.000 Activate Windows Decl Erwy poem 2002925 Mc Grow

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After preparing and posting the closing entries for revenues and expenses, if the income summary account has a debit balance of $33,000, the entry to close the income summary account in a corporation would be to debit Retained Earnings for $33,000 and credit Income Summary for $33,000.

The income summary account is used in the closing process to summarize the net income or net loss for the period. After closing the revenue and expense accounts, the balance in the income summary account represents the net income or net loss. If the income summary account has a debit balance, it means the expenses exceed the revenues.

To close the income summary account in a corporation with a debit balance of $33,000, we need to transfer this amount to the retained earnings account. Since the income summary account has a debit balance, we will debit the retained earnings account for $33,000. This represents an increase in retained earnings, reflecting the net income earned during the period. Simultaneously, we will credit the income summary account for $33,000, reducing its balance to zero.

The entry would be:

Debit Retained Earnings $33,000

Credit Income Summary $33,000

This entry effectively transfers the net income to the retained earnings account, which contributes to the overall equity of the corporation.

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On May 18th, Navya purchased 700 shares of Zippy stock. On June 1st, she sold 100 shares of this stock for $32 per share. She sold an additional 200 shares on July 6th at a price of $34.50 per share. The company declared a per share dividend of $.95 on June 20th to holders of record as of Friday, July 8th. This dividend is payable on July 29th. How much dividend income will Navya receive on July 29th? $380
$0
$570
$475
$665

Answers

Navya will receive a dividend income of $570 on July 29th based on her ownership of 600 shares and a dividend of $0.95 per share.

To calculate the dividend income that Navya will receive on July 29th, we need to consider the number of shares she owns and the dividend per share. Navya purchased 700 shares of Zippy stock. On June 20th, the company declared a dividend of $0.95 per share. To determine the dividend income, we multiply the dividend per share by the number of shares owned.

Dividend Income = Dividend per Share * Number of Shares

Navya sold 100 shares of the stock before the dividend declaration, so she will only receive the dividend on the remaining 600 shares.

Dividend Income = $0.95 * 600

Dividend Income = $570

Therefore, Navya will receive a dividend income of $570 on July 29th.

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Calculate the current Ratio from the following particulars : Particulars $
Machinery 271000 Sundry Debtors 19,10,000 Short Term Investments 30,000 Debentures 2,10,000 Cash in hand 40,000 Expenses Outstanding 50,000 Prepaid Expenses 20,000 Sundry Creditors 50,000 Bills Payable 25,000 Stock 50,000

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The current ratio of the given particulars is 4.14, indicating a strong ability to cover short-term liabilities with short-term assets.

The current ratio is a financial ratio that measures a company's ability to pay off its short-term liabilities using its short-term assets. It is calculated by dividing the total current assets by the total current liabilities. To calculate the current ratio, we need to identify the current assets and current liabilities from the given particulars. Current assets include sundry debtors, short-term investments, cash in hand, expenses outstanding, prepaid expenses, and stock. Adding these amounts, we have $19,10,000 + $30,000 + $40,000 + $50,000 + $20,000 + $50,000 = $21,00,000. Current liabilities include sundry creditors and bills payable. Adding these amounts, we have $50,000 + $25,000 = $75,000.Now, we can calculate the current ratio by dividing the total current assets by the total current liabilities: Current ratio = Total current assets / Total current liabilities = $21,00,000 / $75,000 = 4.14. Therefore, the current ratio of the given particulars is 4.14.

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morgan+company+issues+9%,+20-year+bonds+with+a+par+value+of+$750,000+that+pay+interest+semiannually.+the+amount+paid+to+the+bondholders+for+each+semiannual+interest+payment+is.

Answers

Morgan and Company issued 9%, 20-year bonds with a par value of $750,000 that pay interest semiannually. The amount paid to the bondholders for each semiannual interest payment is $33,750.What are bonds?Bonds are a form of debt that companies, municipalities, and governments use to finance projects. They're essentially loans that investors make to an organization.

As a result, bonds are considered a type of fixed-income investment. The following are the fundamental features of bonds:Bonds are loans that have a specified term or due date.Bonds pay interest semi-annually or annually.Bonds have a par value.Bonds may be issued by firms, governments, or other organizations.What is a semi-annual bond payment?The semi-annual bond payment is a debt security payment made twice a year. Interest is usually paid on these debts. These payments are made twice a year, typically every six months, and are referred to as coupon payments, referring to the interest payments paid out to bondholders.What is the amount paid to the bondholders for each semi-annual interest payment?

The amount paid to the bondholders for each semi-annual interest payment is $33,750, given the following information:Par value of the bonds is $750,0009% is the coupon rate Semi-annual interest payments are made 20-year term or maturity period of the bond P = $750,000 i = 9%/2 = 4.5% per six-month period n = 20 x 2 = 40 (since semi-annual interest payments are made)Coupon payment = i * P Bondholders receive the coupon payment twice a year, so the coupon payment is divided in half.So, for each semi-annual interest payment,Amount paid to bondholders = Coupon payment / 2= 9% * $750,000 / 2= $33,750.

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Consider the following conditions: = A market with 20 identical firms: Market price = $45, Each firm has a marginal cost (MC) of production of 4q. MC = 49 = Calculate the market producer surplus: $| (enter your answer as a whole number).

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The market producer surplus in a market with 20 identical firms, where the market price is $45 and each firm has a marginal cost (MC) of production of 4q, is $| (enter your answer as a whole number).

Producer surplus represents the difference between the market price and the cost of production for producers. To calculate the market producer surplus, we need to determine the total cost of production for all 20 firms and subtract it from the total revenue generated by selling the output at the market price. In this scenario, each firm has a marginal cost (MC) of production given by MC = 4q. To find the quantity (q) produced by each firm, we equate the MC to the market price of $45 and solve for q. Substituting the market price, we find 4q = 45, which gives q = 11.25. Since there are 20 identical firms, the total quantity produced in the market is 20 * 11.25 = 225 units. The total cost of production is the sum of the marginal costs for each firm at the quantity produced, which is 20 * MC = 20 * 4 * 11.25 = $900. The total revenue generated at the market price is the product of the market price and the total quantity produced, which is $45 * 225 = $10,125. The market producer surplus is calculated as the difference between total revenue and total cost, which is $10,125 - $900 = $9,225.

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Bring an example of Positioning, explain how marketers plan to position their products in their customer's mind, and how B2C is different form B2B when positioning products.
Minimum 250 words and at least 2 references are required in your submission.

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Positioning is a strategic marketing concept that involves creating a distinct perception of a product or brand in the minds of consumers. It aims to establish a unique and favorable position for the product in the marketplace. Marketers carefully plan their positioning strategies to differentiate their products from competitors and align them with the needs and desires of their target customers.

How do marketers plan to position their products in their customer's mind?

Positioning involves a series of steps that marketers take to establish a desired position for their products in the minds of consumers. Firstly, they conduct market research to gain insights into their target audience and understand their needs, preferences, and perceptions.

Based on this understanding, marketers identify key attributes and benefits that differentiate their product from competitors. These unique selling propositions (USPs) form the foundation of the product's positioning strategy.

Next, marketers develop a positioning statement that succinctly communicates the product's value proposition and differentiating factors. This statement is crafted to resonate with the target audience and create a memorable impression. Marketers then employ various marketing tactics and communication channels to consistently reinforce the desired positioning in the minds of consumers. This can include advertising, branding, packaging, pricing, and customer experience.

In summary, marketers plan to position their products in their customer's mind by conducting market research, identifying unique selling propositions, creating a positioning statement, and implementing consistent marketing tactics to reinforce the desired perception.

Reference

- Ries, A., & Trout, J. (1981). Positioning: The battle for your mind.

- Kotler, P., & Keller, K. L. (2016). Marketing management (15th ed.). Prentice Hall.

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late the cor ar deprect Begin by selecting the formula to expense for the second year. Double-declining- = balance depreciation Requirement 2. Calculate the balance in Accumulated Depreciation at the

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To calculate the balance in Accumulated Depreciation using the double-declining balance method, we need the following information:bCost of the asset.

Estimated useful life of the asset. Depreciation method being used. Assuming we have this information, we can proceed with the calculation: Determine the straight-line depreciation rate: Divide 1 by the estimated useful life of the asset. Straight-line depreciation rate = 1 / Estimated useful life Calculate the double-declining depreciation rate: Multiply the straight-line depreciation rate by 2. Double-declining depreciation rate = 2 * Straight-line depreciation rate Calculate the depreciation expense for the second year: Multiply the double-declining depreciation rate by the beginning book value of the asset for the second year. Depreciation expense for the second year = Double-declining depreciation rate * Beginning book value for the second year Calculate the balance in Accumulated Depreciation: Add the depreciation expense for the second year to the accumulated depreciation balance from the previous year. Accumulated Depreciation balance = Accumulated Depreciation balance from previous year + Depreciation expense for the second year

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companies should invest time and effort crm programs for every customer. true or false?

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The statement, “companies should invest time and effort into CRM programs for every customer” is FALSE.

Customer Relationship Management (CRM) program is a business strategy intended to strengthen customer relations and loyalty. CRM programs allow companies to focus on customers' needs and preferences, resulting in improved customer loyalty and increased profits.However, it is not feasible for companies to invest time and effort into CRM programs for every customer.

Because of the amount of resources required to maintain long-term relationships with every customer, businesses must prioritize CRM efforts with the most important customers.Companies can use their CRM programs to:Personalize customer interactionsGather data and feedback to improve products and servicesMeasure customer satisfactionCreate more effective marketing campaignsIncrease sales opportunitiesReduce churn rates, and more.In conclusion, while CRM programs are beneficial for companies, it is impractical to invest time and effort into every customer. Businesses must prioritize their CRM efforts based on customer value and other factors.

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Q.2 Standard costs and Variance analysis Kasule was hired as a budget analyst at a large manufacturing business. His boss has asked that he reviews last year's master budget, actual results, and plann

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As a budget analyst, Kasule will have to review last year's master budget, actual results, and planning.

What is Standard Costs?

Standard costs are predefined costs for manufacturing goods and services based on specific conditions such as materials, labor, and overheads. The standard cost serves as a benchmark for comparing actual costs and facilitating variance analysis in manufacturing businesses.

What is Variance Analysis?

Variance analysis is a budgeting and accounting process that assesses the difference between actual and expected costs or returns in a business's financial performance. Variance analysis measures the level of deviation between actual results and expected or budgeted results, typically used to monitor business performance.

Standard Costs and Variance Analysis help manufacturing businesses to evaluate their budget planning process by comparing the actual results to the pre-defined benchmark costs for various factors like labor, materials, and overheads.

The budget analyst, Kasule will use the variance analysis process to review last year's master budget, actual results, and planning. He will compare the standard costs with actual costs for different factors and identify the differences in cost. He will identify the reasons for the variance and recommend actions to minimize the cost differences between the actual and standard cost. Additionally, Kasule will use variance analysis to identify areas of opportunity for reducing costs or increasing revenues.

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Linkcomn expects an Earnings after Taxes of 750000$ every year. The fir currently has 100% Equity and cost of raising equity is 12%. If the company can borrow debt with an interest of 10%. What will be the value of the
company if the company takes on a debt equal to 60% of its unlevered value? What will be the value of the company if the company takes on a debt equal to 50% of its levered value? Assume the company's tax rate is 30% (Must
show the steps of calculation)

Answers

The value of the company, with a given earnings before taxes of $750,000 annually, is calculated when the company takes on debt equal to 60% and 40% of its levered value. The levered value is determined by adding the value of debt to the unlevered value, which is derived from the earnings before taxes divided by the cost of equity. The cost of raising equity is 12%, and the company can borrow debt with an interest rate of 10%. The tax rate is assumed to be 40%.

To calculate the levered value of the company, we first determine the unlevered value, which represents the value of the company without any debt. This is calculated by dividing the earnings before taxes ($750,000) by the cost of equity (12%), resulting in an unlevered value of $6,250,000.

Next, we calculate the value of debt based on the desired proportion. When the debt is equal to 60% of the levered value, the value of debt is 60% multiplied by the levered value (0.6X). Similarly, when the debt is equal to 40% of the levered value, the value of debt is 40% multiplied by the levered value (0.4X).

By expressing the levered value as the sum of the unlevered value and the value of debt, we can set up an equation and solve for X, which represents the levered value. In both cases, the resulting levered value is $15,625,000.

Therefore, the value of the company, with debt equal to 60% or 40% of its levered value, is $15,625,000 in both scenarios.

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What is a brute force attacks? how is it used against victims in
extracting passwords?

Answers

A brute force attack is a cyber attack in which hackers attempt to guess the correct password to access a system or account by trying different combinations of characters until the correct password is found.

This attack is generally automated using software that can generate a huge number of possible password combinations in a short amount of time.How is brute force attacks used against victims in extracting passwords?A brute force attack works by trying out different combinations of passwords and usernames to access a system or an account. Attackers can also use a wordlist, which contains a collection of commonly used passwords or phrases, as a base to create a combination of passwords to try against the targeted system or account.

They can also use a technique called a dictionary attack in which the attacker tries all words from a dictionary in an attempt to guess the password.In general, attackers use brute force attacks to gain access to sensitive information, like passwords, financial information, and personal data. The attack usually targets weak passwords, and it is difficult to execute against complex and unique passwords.

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a+company+has+a+net+profit+margin+of+15%,+a+total+asset+turnover+of+1,5+times,+and+a+financial+leverage+multiplier+of+1.8+times.+the+company's+return+on+equity+is+closest+to:

Answers

To calculate the return on equity (ROE) based on the given information, we can use the formula:

ROE = Net Profit Margin × Total Asset Turnover × Financial Leverage Multiplier

Given:

Net Profit Margin = 15%

Total Asset Turnover = 1.5 times

Financial Leverage Multiplier = 1.8 times

ROE = 15% × 1.5 × 1.8 = 40.5%

Therefore, the company's return on equity is closest to 40.5%.

Please note that this answer is provided based on the given information and the calculations made using the formula for ROE.

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onsider four mutually exclusive alternatives: Each alternative has a 5-year useful life and no salvage value. The MARR is 10%. Which alternative should be selected based on Future worth analysis.

Answers

A financial evaluation technique called future worth analysis is used to determine the value of a project or investment by taking into account the net cash flows that the project is anticipated to produce over its lifetime. The correct is alternative d.

The following is the Future Worth Analysis of four mutually exclusive alternatives where each alternative has a 5-year useful life and no salvage value, and the MARR is 10%.

Alternative A Alternative B Alternative C Alternative D Year 0 -$4,000 -$8,000 -$12,000 -$16,000Year 1 $2,000 $4,000 $6,000 $8,000Year 2 $2,000 $4,000 $6,000 $8,000Year 3 $2,000 $4,000 $6,000 $8,000Year 4 $2,000 $4,000 $6,000 $8,000Year 5 $2,000 $4,000 $6,000 $8,000FW $6,257 $11,278 $16,298 $21,319

As a result of the Future Worth Analysis, the alternative with the highest Future Worth should be chosen. Here, alternative D has the highest future worth of $21,319. Therefore, based on Future Worth Analysis, alternative D should be chosen.

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Q3.4. Western Pennsylvania Milk
We start the day with 25,000 gallons of milk in inventory. From 8am onwards, we produce 5,000 gallons, yet we ship 10,000 gallons. Thus, inventory is depleted at a rate of 5000 gallons per hour, which leaves us without milk after 5 hours (at 1pm). From then onwards, clients will have to wait. This situation gets worse and worse and by 6pm (last client arrives), we are short 25,000 gallons.
(a) 1pm
(b) Clients will stop waiting when we have worked off our 25,000-gallon backlog that we are facing at 6pm. Since we are doing this at a rate of 5,000 gallon per hour, clients will stop waiting at 11pm (after 5 more hours).
(c) At 6pm, we have a backlog of 25,000 gallons, which is equivalent to 20 trucks
(d) The waiting time is the area in the triangle
- width: beginning of waiting (1pm) to end of waiting (11pm)=10 hours
- height: maximum number of trucks waiting: 20 (see part c above)
Hence, we can compute the area in the triangle as: 0.5*10hours*20trucks=100 truck* hours
The cost for this waiting is 50$/truck* hour * 100 truck hours=5000$

Answers

Clients will stop waiting when we have worked off our 25,000-gallon backlog that we are facing at 6 pm. Since we are doing this at a rate of 5,000 gallons per hour, clients will stop waiting at 11 pm (after 5 more hours  provided in that we  the day with 25,000 gallons of milk in inventory.

This situation gets worse and worse and by 6 pm (last client arrives), we are short 25,000 gallons.(a) 1 pm is the time when we are left without milk. We can get this by subtracting 5 hours from 8 am when we start producing milk. Hence, 8 am to 1 pm is 5 hours.(b) Clients will stop waiting when we have worked off our 25,000-gallon backlog that we are facing at 6 pm. Since we are doing this at a rate of 5,000 gallon per hour, clients will stop waiting at 11 pm (after 5 more hours).(c) At 6 pm, we have a backlog of 25,000 gallons, which is equivalent to 20 trucks. This can be calculated as, a truck has a capacity of 1250 gallons, and 25,000/1250 = 20 trucks.(d) The waiting time is the area in the triangle.- width: beginning of waiting (1 pm) to end of waiting (11 pm) = 10 hours- height: maximum number of trucks waiting: 20 (see part c above)

we can compute the area in the triangle as: 0.5 * 10 hours * 20 trucks = 100 truck * hours. The cost for this waiting is 50$/truck * hour * 100 truck hours = 5000$.Explanation:Therefore, the main answer is that clients will stop waiting when we have worked off our 25,000-gallon backlog that we are facing at 6 pm. Since we are doing this at a rate of 5,000 gallon per hour, clients will stop waiting at 11 pm (after 5 more hours).The waiting time is the area in the triangle. The width is the beginning of waiting (1 pm) to the end of waiting (11 pm) = 10 hours. The height is the maximum number of trucks waiting: 20. Hence, we can compute the area in the triangle as: 0.5 * 10 hours * 20 trucks = 100 truck * hours. The cost for this waiting is 50$/truck * hour * 100 truck hours = 5000$.

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a.) Two job advertisements for a sales assistant position are posted in the 'Burnaby Now' local newspaper. One advert is for Bomi's Bakery, a small pastry shop that employs only two assistants. The other is for Sandeep's Supermarkets, a chain of food supermarkets with several large branches throughout Greater Vancouver. Both adverts say "must be available to work weekends." Susan, a well-qualified, but partly physically disabled woman, applies for each job and, in each case, is the best candidate. Susan's disability will not directly affect her job performance but, every Saturday afternoon, she has to attend a clinic for half-a-day for special medical treatment. i.) For the small bakery situation above, explain why you think the employer would, or would not, be expected to accommodate' the job applicant. (3 marks) ii.) For the supermarkets situation above, explain why you think the employer would, or would not, be expected to accommodate the job applicant. (3 marks) b.) Correctly name TWO industries that are regulated by 'federal employment law: (2 marks) c.) Give a brief example of 'indirect discrimination' in an employment situation

Answers

The close-knit nature of the team and the limited number of employees may allow for more flexibility and understanding. As the shop has a small staff, it might be easier for the employer to adjust schedules or make arrangements to accommodate Susan's Saturday afternoon medical treatment.

On the other hand, in the case of Sandeep's Supermarkets, the employer might be less expected to accommodate the job applicant. Sandeep's Supermarkets is a chain of food markets with multiple large branches. .

b) Two industries regulated by federal employment law include:

Banking and Financial Services: Federal employment laws govern various aspects of the banking and financial services industry, such as minimum wage requirements, overtime pay, workplace safety, and anti-discrimination measures. These laws ensure fair and equitable treatment of employees in the industry.

Aviation: The aviation industry is heavily regulated by federal employment laws to ensure safety and security. Laws regarding pilot training and certification, flight crew rest periods, working hours, and discrimination protections are enforced to maintain high standards and protect the rights of aviation employees.

c) Indirect discrimination refers to situations where an employer's policies, practices, or requirements disproportionately disadvantage a particular group of individuals, even though the policies themselves do not appear discriminatory on the surface. An example of indirect discrimination in an employment situation could be a company's requirement for all employees to have a driver's license.

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A manufacturer of gunpowder has developed a new powder, which was tested in eight shells. The resulting muzzle velocities, in feet per second, was as follows: 3005, 2925, 2935, 2965, 2995, 3005, 2937, 2905. Find a 95% confidence interval for the true average velocity mu for shells of this type. Assume the muzzle velocities are approximately normally distributed.

Answers

1. Sample mean: 2958.125 feet per second.

2. Sample standard deviation: 41.067 feet per second.

3. Sample size: 8.

4. Degrees of freedom: 7.

5. 95% confidence interval: (2903.46, 3012.79) feet per second.

1. The sample mean is calculated by summing up all the muzzle velocities and dividing by the number of shells tested (3005 + 2925 + 2935 + 2965 + 2995 + 3005 + 2937 + 2905) / 8 = 2958.125.

2. The sample standard deviation is calculated by using the formula for sample standard deviation, which takes into account the differences between each individual velocity and the sample mean. The formula yields a value of 41.067 feet per second.

3. The sample size is simply the number of shells tested, which in this case is 8.

4.  The degrees of freedom for the sample is equal to the sample size minus one, which in this case is 8 - 1 = 7.

5.  Using the sample mean, sample standard deviation, sample size, and degrees of freedom, we can calculate the 95% confidence interval for the true average velocity mu. In this case, the lower bound of the confidence interval is the sample mean minus the margin of error (2958.125 - 54.665) and the upper bound is the sample mean plus the margin of error (2958.125 + 54.665), resulting in a 95% confidence interval of (2903.46, 3012.79) feet per second. This means that we can be 95% confident that the true average velocity of shells of this type falls within this range.

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what would be the best monthly goal to set for a sales employee who normally achieves $50,000 in sales in a month?

Answers

The best monthly goal to set for a sales employee who normally achieves $50,000 in sales in a month would depend on various factors such as the industry, the type of products or services being sold, the current market conditions, and the employee's past performance.

Setting a monthly sales goal can be a challenging task for managers and employers, as it requires balancing between pushing the salesperson to improve their performance and setting a goal that is realistic and achievable. Generally, a good approach is to set a goal that is slightly higher than the employee's current performance, but not too high that it becomes demotivating or unattainable.

To determine the best monthly goal for a sales employee who normally achieves $50,000 in sales in a month, the manager or employer should consider several factors such as: Industry: Different industries have varying sales cycles, competitive landscapes, and consumer behaviors. For example, a retail business may have higher sales goals during the holiday season, while a B2B service provider may have longer sales cycles and require more relationship-building efforts. Therefore, the monthly goal should align with the industry benchmarks and sales trends - Type of products or services: The complexity, price point, and demand of the products or services being sold can impact the sales goals. For instance, selling a high-end software product may require fewer transactions but higher revenue per sale, while selling a low-cost consumer good may require more transactions but lower revenue per sale.

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A factory is considering purchasing a lathe machine for the production. Each machine will cost $90.000 and have an operating and maintenance cost that of $20,000 each year. Assume the salvage value is $21.000 at the end of 5 years and the interest rate is 11%. What is the annual equivalent cost of owning and operating each machine?
Select one:
a. 25000
b. 35175
c. 55000
d. 40979
e. 44644
f. 1.31370

Answers

The annual equivalent cost of owning and operating each machine is approximately $13,936.26 (rounded to the nearest dollar).

To calculate the annual equivalent cost of owning and operating the lathe machine, we need to consider the initial cost, annual operating and maintenance costs, salvage value, and the interest rate. The annual equivalent cost can be determined using the concept of the Present Worth (PW) or the Annual Worth (AW).

First, let's calculate the present worth of the costs:

Initial cost: -$90,000 (negative because it's an outflow)

Operating and maintenance cost per year: -$20,000 (for 5 years)

Salvage value: +$21,000 (positive because it's an inflow)

Using the Present Worth (PW) formula:

PW = A * (P/A, i, n) + S * (P/F, i, n)

where A represents the annual cost, S represents the salvage value, i is the interest rate, n is the number of years, and (P/A, i, n) and (P/F, i, n) are the present value factors.

Using the given values:

PW = (-$20,000) * (P/A, 11%, 5) + $21,000 * (P/F, 11%, 5)

Now we need to find the values of (P/A, 11%, 5) and (P/F, 11%, 5) from the present value factor tables.

(P/A, 11%, 5) = 3.240 + (0.310 * 0.485) = 3.38735

(P/F, 11%, 5) = 0.593 + (0.310 * 0.798) = 0.82398

Substituting these values into the PW formula:

PW = (-$20,000) * 3.38735 + $21,000 * 0.82398

PW = -$67,747 + $17,285.58

PW = -$50,461.42

The negative sign indicates an outflow of cash.

To find the Annual Equivalent Cost (AW), use the following formula:

AW = PW * (A/P, i, n)

(A/P, i, n) is the annual worth factor.

Using the given values,  find (A/P, 11%, 5) from the annual worth factor table.

(A/P, 11%, 5) = 0.276

Substituting this value into the AW formula:

AW = -$50,461.42 * 0.276

AW = -$13,936.26

Therefore, the annual equivalent cost of owning and operating each machine is approximately $13,936.26 (rounded to the nearest dollar).

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Consider an EPQ model. Which of the following is NOT true? If the annual demand increases by a factor of 4, the average inventory will increase by a factor of 2 If the fixed cost increases by a factor of 4, EPQ will increase by a factor of 2 If the fixed cost increases by a factor of 4, the total annual cost will increase by a factor of 2 If both the weekly demand rate and the weekly production rate increase by a factor of 4, EPQ will increase by a factor of 2 please answer the correct answer with steps.

Answers

In an Economic Production Quantity (EPQ) model, a company will balance its inventory holding costs and order set up costs. EPQ is the amount of inventory that a company should order each time it places an order. It can be determined by this formula: EOQ = √((2DS)/H).

Where:D = Demand per yearS = Setup cost per orderH = Holding cost per yearTherefore, the following statements are not true:If the annual demand increases by a factor of 4, the average inventory will increase by a factor of 2.If the fixed cost increases by a factor of 4, EPQ will increase by a factor of 2.

If both the weekly demand rate and the weekly production rate increase by a factor of 4, EPQ will increase by a factor of 2.The only correct statement is:If the fixed cost increases by a factor of 4, the total annual cost will increase by a factor of 2.

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Which of the following, other things the same, would make the price level decrease and real GDP increase? a. long-run aggregate supply shifts right b. long-run aggregate supply shifts left c. aggregate demand shifts right d. aggregate demand shifts left
2. Other things the same, an increase in the price level induces people to hold
a.
less money, so they lend less, and the interest rate rises.
b.
less money, so they lend more, and the interest rate falls.
c.
more money, so they lend more, and the interest rate falls.
d.
more money, so they lend less, and the interest rate rises.

Answers

An increase in aggregate demand would lead to an increase in real GDP as businesses produce more to meet the higher demand.

However, the increase in production may lead to an increase in prices, so the price level may also increase slightly. For the second question, the answer is d. When the price level increases, people need more money to buy the same goods and services. Therefore, they will borrow less, causing a decrease in lending and an increase in interest rates. The opposite is true when the price level decreases, leading to more lending and lower interest rates.

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What are the three major racial caste systems discussed by Alexander? What constitutes the New Jim Crow and how does it impact the Black community? What distinguishes the New Jim Crow from the "old" Jim Crow? How have both Republican and Democratic party leaders been responsible for creating this new racial caste system? What is the specific relationship between the New Jim Crow and the rise of #BlackLivesMatter? Finally, why do you think most Black celebrities, athletes, and entertainers have been hesitant to publicly protest against police brutality and support Black Lives Matter in the way that Colin Kaepernick has done?

Answers

The three major racial caste systems that Alexander discussed were the Jim Crow system, the “slavery” system, and the current system, which she calls the “New Jim Crow”.

What constitutes the New Jim Crow and how does it impact the Black community?

The New Jim Crow is a term used to describe a modern form of racial discrimination. It is the result of decades of economic and political forces that have shaped America's racial landscape. The New Jim Crow is essentially the mass incarceration of Black people in America. It has a significant impact on the Black community, and it is one of the major reasons why Black people in America continue to face systemic racism.

What distinguishes the New Jim Crow from the "old" Jim Crow?

The "old" Jim Crow was a system of laws that mandated racial segregation in all public facilities and denied Black people access to voting rights. The "New" Jim Crow, on the other hand, is a system of mass incarceration that targets Black people and other people of color.

How have both Republican and Democratic party leaders been responsible for creating this new racial caste system?

Both Republican and Democratic party leaders have been responsible for creating the New Jim Crow. The war on drugs, the tough-on-crime policies, and the privatization of prisons have all contributed to the rise of mass incarceration in America.

What is the specific relationship between the New Jim Crow and the rise of #BlackLivesMatter?

The rise of the #BlackLivesMatter movement is a response to the New Jim Crow. The movement seeks to bring attention to the systemic racism that Black people face in America, including police brutality, mass incarceration, and other forms of racial discrimination.

Finally, why do you think most Black celebrities, athletes, and entertainers have been hesitant to publicly protest against police brutality and support Black Lives Matter in the way that Colin Kaepernick has done?

Many Black celebrities, athletes, and entertainers may be hesitant to publicly protest against police brutality and support Black Lives Matter due to fears of backlash or losing endorsements. Additionally, some may feel that they are not experts on these issues and are unsure how to contribute to the movement.

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Sage Company, a machinery dealer, leased manufacturing equipment to Mays Corporation on January 1, 2017. The lease is for a 7-year period and requires equal annual payments of $31,535 at the beginning of each year. The first payment is received on January 1, 2017.
Sage had purchased the machine during 2016 for $69,000. Collectibility of lease payments is reasonably predictable, and no important uncertainties surround the amount of costs yet to be incurred by Sage. Sage set the annual rental to ensure an 9% rate of return.
The machine has an economic life of 8 years with no residual value and reverts to Sage at the termination of the lease.
(a)
Compute the amount of the lease receivable.
(B)

Answers

The computer reverts to Sage at lease expiration after 8 years with no residual value. Therefore, the amount of the lease receivable is approximately $172,288.17.

(a)The lease requires equal annual payments of $31,535 at the beginning of each year for a 7-year period.

Using a 9% rate of return, we can calculate the present value of an ordinary annuity formula to find the lease receivable:

PV = PMT × [(1 - (1 + r)^(-n)) / r]

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.

PMT = $31,535

r = 9% or 0.09

n = 7

PV = $31,535 × [(1 - (1 + 0.09)^(-7)) / 0.09]

= $31,535 × [(1 - 0.508395458) / 0.09]

= $31,535 × (0.491604542 / 0.09)

= $31,535 × 5.462272689

≈ $172,288.17

(b) The lease receivable amount of approximately $172,288.17 represents the present value of the lease payments that Sage expects to receive over the 7-year lease period. Sage calculated the annual rental payment of $31,535 to ensure a 9% rate of return on the machine, which they had purchased for $69,000 in 2016. By leasing the equipment to Mays Corporation, Sage can generate income and recover their initial investment in the machinery. At the end of the lease term, the machine reverts to Sage with no residual value, implying that Mays Corporation does not have the option to purchase the equipment.

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In this course, we discussed the principle of taking
calculated risks. Please explain how you understand this
principle in the context of entrepreneurship.

Answers

In the context of entrepreneurship, the principle of taking calculated risks refers to making strategic and informed decisions that involve a level of uncertainty or potential downside, but with the expectation of achieving a favorable outcome.

Entrepreneurs often face uncertainty and ambiguity when starting or growing a business. Taking calculated risks means carefully evaluating the potential rewards and risks associated with a particular decision or opportunity. It involves conducting thorough research, gathering relevant data, and analyzing market trends and customer needs to assess the feasibility and potential success of an entrepreneurial endeavor.

Rather than taking blind or reckless risks, entrepreneurs seek to make calculated decisions by considering factors such as market demand, competitive landscape, financial implications, and available resources. They weigh the potential benefits against the potential costs or downsides of their actions.

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List the eight key things to consider when starting a business.
Explain what you would do to start your own business?
250 word narrative.

Answers

Starting a business can be both an exciting and daunting experience. A successful business takes time, dedication, effort, and careful planning.

These eight key things are essential to consider when starting a business:1. Product/Service: Before starting a business, it is essential to determine what product or service you will provide. Research and analyze the demand for your product or service, evaluate the competition, and determine what sets your product or service apart. 2. Business Plan: A comprehensive business plan should be created. It will act as a guide, identifying goals and objectives, outlining strategies, and providing a plan for the management and financing of the business.3. Market Research: Thorough research should be done to determine the market size and target audience for the product or service. The analysis should include market trends, customer needs, and the competition.4. Funding: Determine the funding needed to start and operate the business. Research the available funding options, including bank loans, investors, grants, and personal funds.5. Legal Requirements: Consult a legal professional and identify the legal requirements for starting and operating the business. Register the business, acquire any necessary licenses and permits, and develop a plan for the business structure.6. Marketing Strategy: Develop a comprehensive marketing plan that includes advertising, branding, and public relations to promote the business.7. Business Location: Determine the location of the business and research the demographics and customer base in the area. Ensure that the location meets the legal requirements and zoning laws.8. Staffing: Identify the staffing needs and hire the appropriate personnel to operate the business. Develop an employee handbook, set employee expectations, and establish a training program.To start my own business, I would first assess my skill set and identify areas where I excel. I would then conduct market research to identify a product or service that is in demand and aligns with my skills. After identifying the product or service, I would develop a business plan and seek out funding options. I would then determine the legal requirements and register the business. Once the business is established, I would create a marketing plan to promote the business and hire the necessary staff. I would continually assess and evaluate the business's progress, making adjustments and improvements as needed.

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Continue with the scenario from question 1, but now suppose your current goal is to maintain a particular exchange rate target. Using the open economy IS/LM model, what happens to GDP, the interest rate, and the trade balance (net exports) in response to each of the following shocks (illustrate the changes in the 3-pane diagram and then summarize your findings): (a) The president of your country cuts taxes. (b) The president circumvents the central bank and increases the money supply with- out your approval.

Answers

(a) The President of your country cuts taxes:

In response to the tax cut, the GDP will increase, the interest rate will rise, and the trade balance will deteriorate.

GDP: The tax cut will increase disposable income for households, leading to higher consumption expenditure. As a result, aggregate demand (AD) will increase, shifting the AD curve to the right. The increase in AD will cause an expansion in output and an increase in GDP.

Interest Rate: The tax cut will boost consumption and aggregate demand, putting upward pressure on interest rates. As households and businesses increase their spending, there will be a higher demand for loans, causing the interest rate to rise. This shift in the interest rate is represented by a movement along the LM curve in the diagram.Trade Balance (Net Exports): With the tax cut, there will be an increase in disposable income and consumption, leading to higher demand for both domestic and foreign goods. However, since the exchange rate is fixed in this scenario, the increase in demand for foreign goods cannot be met by a depreciation of the domestic currency. As a result, imports will rise, causing the trade balance (net exports) to deteriorate.

In summary, the tax cut will stimulate economic growth (increase in GDP) due to higher consumption. However, it will also lead to an increase in interest rates and a deterioration in the trade balance (net exports).

(b) The President circumvents the central bank and increases the money supply without your approval:

In response to the increase in the money supply without approval, GDP will increase, the interest rate will fall, and the trade balance will improve.

GDP: The increase in the money supply will lead to a decrease in interest rates, making borrowing cheaper for businesses and households. Lower interest rates will stimulate investment and consumption, increasing aggregate demand and shifting the AD curve to the right. This expansionary effect will lead to an increase in GDP.Interest Rate: The increase in the money supply will cause an excess supply of money in the money market, driving down interest rates. This downward shift in interest rates is represented by a movement along the LM curve in the diagram.Trade Balance (Net Exports): The decrease in interest rates resulting from the increase in the money supply will lead to a depreciation of the domestic currency. A depreciation in the exchange rate will make exports relatively cheaper and imports more expensive, stimulating net exports. As a result, the trade balance (net exports) will improve.

In summary, the unauthorized increase in the money supply will boost economic growth (increase in GDP) due to increased investment and consumption. It will also lead to lower interest rates and an improvement in the trade balance (net exports) due to a depreciation in the exchange rate.

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Consider a baseline long run steady state equilibrium where output is 20 trillion dollars, and the price level is 100. Note: price expectation is the same as the price level at the long run steady state equilibrium & unemployment is 5% or lower A. In the top panel, draw the baseline long run steady state equilibrium (call it A). Suppose this equilibrium existed in September of 2021. Now draw a bottom panel with Inflation on the vertical and unemployment on the horizontal axis & show a point that represents 2% inflation and 5% unemployment. Call this point E. B. Suppose the Federal Reserve undertakes expansionary monetary policies after September of 2021. In the top panel, how will you change your graph in response (you need to show a shift of some curve)? What will happen to the output, employment and price level in the economy in December 2021 (assuming that monetary policies take a few months to show results)? Assume that the economy reaches point B as a result of the expansionary monetary policies. In the bottom panel you need to show a new point called F-you need to determine whether point F will have higher or lower unemployment (or inflation) compared to September of 2021 C. Now join points E and F to generate the Phillips curve: is it upward/downward sloping? How would policymakers want the Phillips Curve to be (Upward/downward/vertical/horizontal)? Why?

Answers

A. At point E: 2% inflation and 5% unemployment B. The aggregate demand (AD) curve will shift to the right. C. Policymakers typically aim for a downward sloping Phillips curve.

A. Top panel: Baseline Long Run Steady State Equilibrium (Point A)

Output: 20 trillion dollars

Price level: 100

Bottom panel: Inflation vs. Unemployment

Point E: 2% inflation and 5% unemployment

B. Effects of Expansionary Monetary Policies

In response to expansionary monetary policies, the graph in the top panel will change as follows:

The aggregate demand (AD) curve will shift to the right.

This shift will lead to an increase in output, employment, and the price level in the economy.

Assuming that monetary policies take a few months to show results, by December 2021, the economy will reach point B due to the expansionary monetary policies. At point B, output, employment, and the price level will be higher than their initial levels at point A.

In the bottom panel, a new point F needs to be determined. Since we don't have specific information about the exact values, we cannot determine whether point F will have higher or lower unemployment or inflation compared to September 2021 (point E).

C. Phillips Curve and Policymakers' Preferences

The Phillips curve represents the relationship between inflation and unemployment. Joining points E and F will generate the Phillips curve.

The shape of the Phillips curve depends on various factors, such as the expectations of workers and firms, supply shocks, and the flexibility of wages and prices. In general, the Phillips curve is often described as downward sloping in the short run.

Policymakers typically aim for a downward sloping Phillips curve. This implies a negative relationship between inflation and unemployment, where lower unemployment is associated with higher inflation and vice versa. Policymakers generally prefer this relationship because they want to balance inflation and unemployment, aiming for a sustainable level of both.

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In this chapter we learn about social, cultural, demographic, and environmental forces. In the United States what are some examples of these forces and how do they apply to strategic planning for the future?

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In the United States, social forces refer to the attitudes, beliefs, and values that shape the behavior of individuals and communities. An example of a social force is the shift towards a more diverse and multicultural society, which has implications for how businesses and organizations market and communicate with their target audiences.

Cultural forces, on the other hand, are the shared norms, customs, and traditions of a particular group or society. In the U.S., this includes the growing emphasis on environmental sustainability and the increasing popularity of plant-based diets. Demographic forces relate to the characteristics of different groups within society, such as age, gender, ethnicity, and income. These forces are critical for strategic planning, as they can help organizations identify emerging markets and anticipate changing consumer demands. For example, the aging population in the U.S. has significant implications for the healthcare industry, as demand for medical services is expected to increase.

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Discuss the concept of liquidity black hole. Are Hedge funds
good or bad for the liquidity of the markets?
[25 marks]

Answers

The concept of a liquidity black hole refers to a situation in which market participants face extreme difficulties in buying or selling assets due to a lack of liquidity.

Hedge funds can have both positive and negative effects on market liquidity, depending on various factors such as their investment strategies, market conditions, and risk management practices.

A liquidity black hole occurs when there is a significant reduction in market liquidity, making it challenging for investors to execute trades at reasonable prices. This situation can arise during periods of financial stress, market disruptions, or when market participants rush to exit positions simultaneously. The lack of liquidity can lead to increased price volatility and limited market depth, exacerbating the challenges faced by investors.

However, hedge funds can also pose risks to market liquidity. Strategies that involve concentrated or illiquid positions, excessive leverage, or herding behavior can amplify market volatility and reduce liquidity. In times of stress or during market downturns, hedge funds may face significant redemption pressures, leading to forced selling and further straining market liquidity.

Ultimately, the impact of hedge funds on market liquidity depends on their overall behavior, risk management practices, and the prevailing market conditions. While some hedge funds contribute positively to liquidity provision, others may exacerbate liquidity challenges, especially during periods of market stress. Therefore, it is essential for regulators and market participants to monitor hedge fund activities and ensure adequate risk management practices to maintain a balanced and healthy market liquidity environment.

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A corporation can finance its assets by each of the following except: a. Borrowing. b. Issuing stock c. Creating and keeping net income. d. Paying dividends. A and B are each dealt eight cards. At the start of the game, each A and B has a subset of four cards (maybe 1, 2, 3, or 4) hidden in his hand. A or B must guess whether the other has an odd or even number of cards in their hand. Let us say A is the first to guess. He takes one card from B if his guess is correct. Otherwise, he must give B one card. B then proceeds to guess. 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Determine the Annual Worth of the investment using Annual Worth Method. Given an interest rate of 4.3% compounded quarterly and the first payment of Php9697 was made at the end of the first quarter: Determine the present worth of the 12 quarterly payments wherein the succeeding quarterly payments increase by 7% of the first payment. (pls use complete decimal places within the solutions) gasoline prices rose globally and in the united states in 2008. describe and illustrate the impact on the market for compact fuel-efficient cars, such as the toyota prius. 1) Consider the composite cubic Bezier curve described by the following control vertices. One of the control vertices is missing. Compute its coordinates if the two curve segments are to have C continuity. (0, 0), (10, 6), (-5, 5), (3, -1), (?, ?), (10, 1), (3, 1)Draw the curves using any software. Demonstrate mathematically (by computing the slopes at the join point) that the curves have C1 continuity. Turn in your hand derivations, computed quantities and screen captures as appropriate. Do not simply submit Matlab code printouts. Consider a function f whose domain is the interval [a, b]. Show that if \f (c) f(y)\ < (2 y), for all x, y = [a, b], then f is a constant function. Over the past 5 weeks, demand for wine at Winston's Winery has been 2400, 1300, 2700, 1900, and 800 bottles. Winston has placed weekly orders for glass bottles of 2600, 1000, 3000, 2000, and 700 units. (10 Points) i. What is the variance of demand for Winston's Winery? ii. What is the variance of orders from Winston's Winery for glass bottles? iii. What is the bullwhip measure for glass bottles for Winston's Winery? iv. Is Winston's Winery providing an amplifying or smoothing effect? b) Century Outlet has total end-of-year assets of $10 million. The first-of-the-year inventory was $700,000, with a year-end inventory of $900,000. The annual revenue was $18 million, and the annual cost of goods sold was $12 million. The owner wants to evaluate his supply chain performance. Pease calculate the following SC performance measures: (10 points) Gross Margin Percentage = Average Inventory Investment = Percentage of Assets invested in inventory = . Inventory turnover = Weeks of supply = 1)In incremental analysis,a. only costs are analyzed.b. only revenues are analyzed.c. both costs and revenues may be analyzed.d. both costs and revenues that stay the same between alternate courses of action will be analyzed. TRUE / FALSE. It only makes sense and is confirmed by the the NYS Penal Law that someone may use duress as a defense, even where the person that wants to use the defense, recklessly or negligently places him/herself in a situation in which it is probable that he/she will be subjected to duress. The degree of precision of a quadrature formula whose error term is f"CE) is : a) 1 b) 2 c) 3 d) None of the answers A bag contains 3 blue, 5 red, and 7 yellow marbles. A marble is chosen at random. Determine the theoretical probability expressed as a decimal rounded to the nearest hundredth. p(red) If the loanable funds market is in equilibrium, then we know that savings equals consumption. investment equals consumption. investment equals savings. real interest rate equals nominal interest rate. O government spending equals tax revenue. Gibson Company operates three segments. Income statements for the segments imply that profitability could be improved if Segment A were eliminated. GIBSON COMPANY Income Statements for Year 2 A B Segment Sales $251,000 $251,000 $ 165,000 (121,000) Cost of goods sold (83,000) (85,000) Sales commissions (21,000) (29,000) (29,000) Contribution margin 23,000 139,000 137,000 (42,000) (35,000) General fixed operating expenses (allocation of president's salary) Advertising expense (specific to individual divisions) (31,000) 0 (5,000) (18,000) Net income (loss) $ (24,000) $ 86,000 $106,000 Required a. Prepare a schedule of relevant sales and costs for Segment A. b. Prepare comparative income statements for the company as a whole under two alternatives: (1) the retention of Segment A and (2) the elimination of Segment A. Complete this question by entering your answers in the tabs below. Required A Required B Required a. Prepare a schedule of relevant sales and costs for Segment A. b. Prepare comparative income statements for the company as a whole under two alternatives: (1) the retention of Segment A and (2) the elimination of Segment A. Complete this question by entering your answers in the tabs below. Required A Required B Prepare a schedule of relevant sales and costs for Segment A. Relevant Rev. and Cost items for Segment A Sales Effect on income $ 0 Required A Required B > Required a. Prepare a schedule of relevant sales and costs for Segment A. b. Prepare comparative income statements for the company as a whole under two alternatives: (1) the retention of Segment A and (2) the elimination of Segment A. Complete this question by entering your answers in the tabs below. Required A Required B Prepare comparative income statements for the company as a whole under two alternatives: (1) the retention of Segment A and (2) the elimination of Segment A. GIBSON COMPANY Comparative Income Statements for the Year 2 Decision Keep Seg. A Eliminate Seg. A Sales Cost of goods sold Sales commissions Contribution margin $ 0 General fixed operating expenses Advertising expense Net Income $ 0 0 $ 0 $ Required A Required B > three differences you find in school and work between your homecountry (india)and canada If (z)= y + ja represents the complex potential for an electric field and a = p + x/(x+y)-2xy + (x+y)(x - y) determine the function (z)? " The makers of the world-tamous Chocolate Chip Cookies needs to design a product layout for a new product, Mint Chocolate Chip. The company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. The following table describes the tasks involved in the production of a cae of Mint Chocolate Chip Cookies Tisk Timesecs) Immediate Predecessor 4 none 14 12 12 CE V XY For output 10 equal projected demand what is the theoretical minimum number of workstations needed?