suppose that the manager of a firm operating in a perfectly competitive market average variable cost reaches its minimum value at

Answers

Answer 1

Complete Question:

Suppose that the manager of a firm operating in a perfectly competitive market has estimated the average variable cost function to be:

AVC = 4.0 - 0.0024Q + 0.000006Q^2             Fixed costs are $500.

Requirement:

Average variable cost reaches its minimum value at___ units of output, and the minimum value of average variable cost is $___

Answer:

Average variable cost reaches its minimum value at 200 units of output, and the minimum value of average variable cost is $3.76.

Explanation:

To find the Average Variable Cost we will have to calculate quantity and for that sake we will first of all find the point of intersection of AVC and MC to find the Quantity "Q".

So

AVC  * Quantity = Total Variable Cost  + Total Fixed Cost

Here

AVC = 4.0 - 0.0024Q + 0.000006Q^2

Fixed costs are $500

Total Variable Cost is TVC

Quantity is Q here

By putting values, we have:

(4.0 - 0.0024Q + 0.000006Q^2) * Q = TVC + 500

4Q - .0024Q^2 + .000006Q^3 = TVC + 500

By rearranging the above formula, we have:

TVC = 4Q - .0024Q^2 + .000006Q^3 - 500

By applying derivation rules, we have:

dTC/dQ = 4 - 0.0048Q + 0.000018Q^2

Now this equation is Marginal cost equation.

At the point of intersection of AVC and MC, both equations will equal to each other and thus we can find Q.

Mathematically,

4 - 0.0024Q + 0.000006Q^2 = 4 - .0048Q + .000018Q2

Cancelling 4 on both sides, and netting off the equation, we have:

0.0024Q = .000012Q2

1 = .000012Q2 / 0.0024Q

1 = 0.005Q

Q = 1/ 0.005 = 200 Units

By putting value of Q in AVC equation given above, we have:

AVC = 4 - 0.0024*200 + 0.000006*(200)^2

AVC = 4 - 0.48 + 0.24 = $3.76


Related Questions

A product found in homes built before 1978 is harmful to children. It can lead to birth defects and is generally hazardous. It should only be cleaned up by specialists, and is a required disclosure for sales of real property. What environmental hazard is this?

Answers

Answer:

Asbestos

Explanation:

This environmental hazard is asbestos. Exposure to asbestos especially for a long term period is very detrimental to health. It's fibres can be easily inhaled to the lungs which is dangerous and can cause fibrotic lung disease and also lung cancer. It can lead to defects in birth when inhaled by a pregnant woman and many other health problems. During sales of property it is very important that such hazard is disclosed to the other party.

For the question below, write an explanation of the short-run effect including the determinant of AD or AS that is causing the shift, the line that shifts (AD or AS), the direction of the shift (left or right), and the impact on output and price level (increase or decrease) and submit a properly drawn and labeled aggregate demand and aggregate supply graph for the scenario. Tourists flock to visit the major theme park's in Orlando, Florida.

Answers

Answer:

Tourists flock to visit the major theme park's in Orlando, Florida.

Determinant of AD: Consumer confidence is the best determinant in this case. Tourists flock the theme parks because households not only have enough money to spend on recreation, but also feel that they will continue to have enough money to make ends meet in the near future, otherwise they would not go to the parks, and instead would save the money.

Direction of the shift: the AD curve shifts to the right, because AD is increasing, and the AD curve increases when it shifts to the right.

Impact on output and price level: Output increases because consumer confidence, and as a result, consumer demand, is boosting aggregate demand.

Price level also increases, because demand is pushing the price of a good that has a relatively inelastic supply (the theme parks). In other words, demand is rising more than supply, and this increases the price.

Refer to the following list of liability balances at December 31, 2019.
Accounts Payable $13,000
Employee Health Insurance
Payable 1,150
Employee
Income Tax Payable 1,200
Estimated Warranty Payable (Due 2020) 1,500
Long-Term Notes Payable (Due 2022) 41,000
FICA-OASDI Taxes Payable 1,160
Sales Tax Payable 770
Mortgage Payable (Due 2023) 8,000
Bonds Payable (Due 2024) 59,000
Current Portion of Long - Term Notes Payable 5,500
What is the total amount of long-term liabilities?
A. $100,000
B. $108,000
C. $41,000
D. $49,000

Answers

Answer:

B. $108,000

Explanation:

The computation of the total amount of long-term liabilities is shown below:-

Total amount of long-term liabilities = Long term notes payable (Due 2022) + Mortgage payable (Due 2023) + Bonds payable (Due 2024) + Long term liabilities

= $41,000 + $8,000 + $59,000

= $108,000

Therefore for computing the total amount of long-term liabilities we simply applied the above formula and we have not considered as they are not relevant and not covered into long-term liabilities as they all are current liabilities

Nordstrom, Inc. operates department stores in numerous states. Suppose selected financial statement data (in millions) for 2014 are presented below.
End of Year Beginning of Year
Cash and cash equivalents $ 795 $ 72
Accounts receivable (net) 2,035 1,942
Inventory 898 900
Other current assets 326 303
Total current assets $4,054 $3,217
Total current liabilities $2,014 $1,601
For the year, net credit sales were $8,258 million, cost of goods sold was $5,328 million, and net cash provided by operating activities was $1,251 million.
Instructions:
Compute the current ratio, current cash debt coverage, accounts receivable turnover, average collection period, inventory turnover, and days in inventory at the end of the current year.

Answers

Answer:Please see explanation for answers

Explanation:

A) Current Ratio    =   Current Assets / Current Liabilities

Total  Current Assets = $4,054million

Total Current Liabilities = $2,014million

Current Ratio = 4,054 / 2,014 = 2.01  : 1

B. Current Cash Debt Coverage Ratio =  Cash flow  Provided by Operating Activities / Average Current Liabilities

Average Current Liabilities = 2,014 + 1,601= 3,615 / 2 = $1,807.5

Current Cash Debt Coverage Ratio = 1,251 / 1,807.5 = 0.6921

C. Accounts receivable Turnover = Net  Sales / Average Accounts Receivables

Average Account Receivable = 2,035 + 1,942= 3,977 / 2 = $1,988.50million

Net  Sales = $8,258million  

Account Receivable Turnover = 8,258million / 1,988.50million = 4.15 Times

D. Average Collection Period: 365 / Account Receivable Turnover

Average Collection Period = 365 / 4.15 = 87.95 Days

E. Inventory Turnover = Cost of Goods Sold / Average Inventory

Cost of Goods Sold = 5,328million  ,

Average Inventory = 898 + 900 =1,798 / 2 = 899

Inventory Turnover = 5,328 / 899 = 5.93 Times

F. Days in Inventory = 365 / Inventory Turnover Ratio

Days in Inventory = 365 / 5.93 = 61.55 Days

identify this financial statement: which financial statement would best display a companys plant propery and equipment use in their factory everyday to help generate a slaes revenue

Answers

Answer: C) Balance Sheet

Explanation:

The Plant, Property and Equipment (PPE) that a company owns are reported in the Balance Sheet under Fixed Assets.

These Assets are considered investments because of their long term use and they help a company in generating it's sales Revenue.

They are also depreciated as well to account for the period they are in action and are usually recorded in the Balance Sheet at their Net amounts (depreciated amounts).

Job 303 includes direct materials costs of $550 and direct labor costs of $400. If the predetermined overhead allocation rate is 40% of direct labor cost, what is the total cost assigned to Job 303

Answers

Answer:

180

Explanation: Divide 550 and 400 and equal 40% over x

Griffin's Goat Farm, Inc., has sales of $604,000, costs of $255,000, depreciation expense of $53,000, interest expense of $35,000, and a tax rate of 23 percent. What is the net income for this firm

Answers

Answer:

The answer is $200,970

Explanation:

Solution

Given that

Now

Sales =$604,000

Costs= $255,000

Depreciation=$53,000

Thus

EBIT (Earnings before taxes and interest)=$296,000

The interest Expense = $35,000

Taxable income =$200,970

Taxes($261,000 * 23% =$60,030

The net income = $200,970

Therefore the net income for the firm is $200,970

Answer:

$200,970

Explanation:

Hope this helps

Suppose Stark Ltd. just issued a dividend of $2.33 per share on its common stock. The company paid dividends of $2.00, $2.08, $2.15, and $2.26 per share in the last four years. If the stock currently sells for $55, what is your best estimate of the company's cost of equity capital using the arithmetic average growth rate in dividends?What if you use the geometric average growth rate?

Answers

Answer:

arithmetic average growth rate = (4% + 3.37% + 5.12% + 3.1%) / 4 = 3.9%

we need to find the required rate or return (RRR) in the following formula:

stock price = expected dividend / (RRR - growth rate)

expected dividend = $2.33 x 1.039 = $2.42stock price = $55growth rate = 0.039

55 = 2.42 / (RRR - 0.039)

RRR - 0.039 = 2.42 / 55 = 0.044

RRR = 0.083 = 8.3%

geometric average growth rate = [(1.04 x 1.0337 x 1.0512 x 1.031)¹/⁴] - 1 = 3.89%

again we need to find the required rate or return (RRR) in the following formula:

stock price = expected dividend / (RRR - growth rate)

expected dividend = $2.33 x 1.0389 = $2.42stock price = $55growth rate = 0.0389

55 = 2.42 / (RRR - 0.0389)

RRR - 0.0389 = 2.42 / 55 = 0.044

RRR = 0.0829 = 8.29%

McCarthy Company has inventory... McCarthy Company has inventory of 8 units at a cost of $200 each on October 1. On October 2, it purchased 20 units at $205 each. 11 units are sold on October 4. Using the FIFO perpetual inventory method, what is the value of inventory after the October 4 sale

Answers

Answer:

Ending inventory= $3,485

Explanation:

Giving the following information:

Beginning inventory= 8 units for $200 each

On October 2= purchased 20 units at $205 each.

11 units are sold on October 4.

under the FIFO (first-in, first-out) inventory method, the ending inventory is calculated using the cost of the last units incorporated into inventory.

Ending inventory= 17*205= $3,485

The demand and supply for catnip are given by the following tables: Demand Price Quantity Supply Price Quantity $1.50/lb 2.00 2.50 3.00 3.50 4.00 10 lb 9 8 7 4 3 $1.50/lb 2.00 2.50 3.00 3.50 4.00 4 lb 5 6 7 10 11 What quantity is sold in equilibrium, and at what price

Answers

Answer:

7

$3

Explanation:

Equilibrium is the point where Quanitity supplied equals quantity demanded. The price at this point is known as the equilibrium price and the Quanitity at this point is known as equilibrium Quanitity.

Quanitity demanded is equal to Quanitity supplied at 7 units. Price at this point is $3

Please check the attached image for a clearer image of this question.

I hope my answer helps you

Answer:

What that guy said above me

Explanation:

Watters Umbrella Corp. issued 20-year bonds 2 years ago at a coupon rate of 6.4 percent. The bonds make semiannual payments. If these bonds currently sell for 110 percent of par value, what is the YTM

Answers

Answer:

2.78%

Explanation:

The YTM formula is:

YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2]

coupon = $32face value = $1,000market value = $1,000 x 110 = $1,100n = 18 x 2 = 36

YTM = {$32 + [($1,000 - $1,100)/36]} / [($1,000 + $1,100)/2] = $29.222 / $1,050 =  2.78%

7. XYZ Firm recently paid $1.00 as an annual dividend. Future dividends are projected at $1.50, $2.00, $2.50, and $3.00 over the next 4 years, respectively. Beginning 5 years from now, the dividend is expected to increase by 3.0 percent annually. What is one share of this stock worth to you if you require 8 percent rate of return on similar investments

Answers

Answer:

The worth of one share is $52.72

Explanation:

The annual dividend = $1

The future dividend = $1.50, $2, $2.50, and $3

The increase in investment =  3%

Value after year 4 = (D4*Growth Rate)/(Required rate-Growth Rate)

=(3*1.03)/(0.08-0.03)

=61.8

Thus,  current value (CV)  = Future dividend & value × Present value of discounting factor (rate%, time period)

=1.5/1.08 + 2/1.08^2 + 2.5/1.08^3 + 3/1.08^4 + 61.8/1.08^4

=$52.72

In Concord, Inc., the Assembly Department started 61000 units and completed 70700 units. If beginning work in process was 30800 units, how many units are in ending work in process?

Answers

Answer:

Closing inventory = 21,100 units

Explanation:

The closing working in progress represent the units of work at the end of the period for which are yet to be completed in the period.

It is the sum of the opening inventory and the units introduced less the completed units. This given below in mathematical terms

Closing inventory = Opening inventory + Newly added - completed units

                          = 30,800 + 61,000 - 70,700= 21,100

Closing inventory = 21,100 units

You purchased 400 shares of stock at a price of $55.77 per share. Over the last year, you have received total dividend income of $455. What is the dividend yield

Answers

Answer:

The dividend yield on the stock investment is 2.04%

Explanation:

The dividend yield is the total dividends received amounting to $455 divided by the cost of shares purchased at $55.77 per share.

Cost of share purchase=$55.77*400

cost of share purchase=$22,308.00  

total dividends=$455.00

dividend yield=$455.00/$22,308.00  

dividend yield=2.04%

Honda’s BP program involves: a. A formalized approach for teaching the supplier to improve its own processes b. Tight control of suppliers c. Elimination of the bottom 10% of suppliers at the end of the program d. All of the above e. Only a and b

Answers

Answer:

a.

Explanation:

A BP Program or Best Practices Program is one that focuses on the process of reviewing different policy alternatives that have been proven to be effecting when dealing with certain issues in the past that have reoccurred in the present and applying them. Honda's unique BP program involves a formalized approach for teaching the supplier to improve its own processes in order for them not to have to outsource.

A good manager can be flexible when it comes to sticking to the original plan; to get good results, the intended strategy has to become the realized strategy.

a. True
b. False

Answers

Answer:

False

Explanation:

Hope this helps my loves :)

Explain the provisions of section 302 of the Sarbanes-Oxley Act including obligations of officers; nature and scope of assertions; accounting requirements; and legal liability of officers.

Answers

Answer:

"Section 302 of the Sarbanes-Oxley Act states that the CEO and CFO are directly responsible for the accuracy, documentation and submission of all financial reports as well as the internal control structure to the SEC," according to sarbanes-oxley-101.com.  So, Section 302 is essentially about the responsibilities of principal officers of the company, especially the principal executive and financial officers.

1. Obligations of officers: To certify each annual and quarterly report.  To ensure that the issued financial statements and other financial information are not misleading.  To ensure that the information is fairly presented.

2. Nature and Scope of Assertions:

a) That the information presented are fairly presented with no misleading statements

b) That the internal controls are in place and operating effectively

c) To asset that they are aware of all material information relating to the issuing company

d) That they have evaluated internal controls, their effectiveness, and changes in controls.

3. Accounting requirements:

a) Ensure effective internal accounting controls

b) Disclose all material financial information to auditors and audit committee

c) File periodic reports to SEC in compliance with section 13(a) and 15(d) of the SEC Act of 1934.

4. Legal liability of officers:  This is covered in Section 906 of the Sarbanes-Oxley Act.  The section prescribes that officers are liable for "penalties upward of $5 million in fines and 20 years in prison" for any violation of the Act.

Explanation:

The Sarbanes-Oxley Act of 2002 is a federal law which was made in response to the accounting scandals following the collapse of Worldcom and Enron. The purpose of the Act was to safeguard shareholders, employees, and the public from accounting errors and fraudulent financial practices by listed companies.  According to sarbanes-oxley-101.com, the Act requires "all financial reports to include an Internal Controls Report," to prove the accuracy and adequacy of controls for ensuring that financial information is not misleading.

Reports are the primary means of communication in an organization. Illustrate the comment.

Answers

Answer: hi

Explanation: bye

Arjun, a U.S. citizen, is a product manager who moved to Argentina to work at the South American office of Senlot Corporation, an American company. Based on this information, Arjun is a(n) ________ manager.

Answers

Answer:

The correct answer will be "Expatriate manger".

Explanation:

Expatriate managers may be described among those who don't seem country's citizens whereby they operate and were appointed due to various their advanced organizational skills but rather because of certain employment organization expertise.They support their businesses to develop international operations, reach international markets as well as transition expertise and competencies to business relationships of their corporations.

So that Arjun is an Expatriate manger,

Julie paid a day care center to watch her two-year-old son while she worked as a computer programmer for a local start-up company.


What amount of child and dependent care credit can Julie claim in each of the following alternative scenarios?


a. Julie paid $2,000 to the day care center and her AGI is $50,000 (all salary).


b. Julie paid $5,000 to the day care center and her AGI is $50,000 (all salary).


c. Julie paid $4,000 to the day care center and her AGI is $25,000 (all salary).


d. Julie paid $2,000 to the day care center and her AGI is $14,000 (all salary).


e.
Julie paid $4,000 to the day care center and her AGI is $14,000 ($2,000 salary and $12,000 unearned income).

Answers

Answer and Explanation:

The computation of In each of the following alternative situations, Julie will demand the amount of child and dependent care credit is shown below:-

According to the 1st situation

Particulars                                                Amount

a. Expenditure of dependent care         $2,000

b. Qualifying expenses for one

dependent on limit                                 $3,000

c. Earned income of Julie                      $50,000

d. Expenses eligible for credit               $2,000 (which is least of a,b, and c)

e. Percentage rate on credit                  20% (AGI over $43,000)

f. Child and dependent care credit        $400 (2,000 × 20%)

According to the 2nd situation

Particulars                                                Amount

a. Expenditure of dependent care         $5,000

b. Qualifying expenses for one

dependent on limit                                 $3,000

c. Earned income of Julie                      $50,000

d. Expenses eligible for credit               $3,000 (which is least of a,b, and c)

e. Percentage rate on credit                  20% (AGI over $43,000)

f. Child and dependent care credit        $400 (3,000 × 20%)

According to the 3rd situation

Particulars                                                Amount

a. Expenditure of dependent care         $4,000

b. Qualifying expenses for one

dependent on limit                                 $3,000

c. Earned income of Julie                      $25,000

d. Expenses eligible for credit               $3,000 (which is least of a,b, and c)

e. Percentage rate on credit                  30% (AGI over $25,000)

f. Child and dependent care credit        $900 (3,000 × 30%)

According to the 4th situation

Particulars                                                Amount

a. Expenditure of dependent care         $2,000

b. Qualifying expenses for one

dependent on limit                                 $3,000

c. Earned income of Julie                      $14,000

d. Expenses eligible for credit               $2,000 (which is least of a,b, and c)

e. Percentage rate on credit                  35% (AGI over $15,000)

f. Child and dependent care credit        $700 (2,000 × 35%)

According to the 5th situation

Particulars                                                Amount

a. Expenditure of dependent care         $4,000

b. Qualifying expenses for one

dependent on limit                                 $3,000

c. Earned income of Julie                      $2,000

d. Expenses eligible for credit               $2,000 (which is least of a,b, and c)

e. Percentage rate on credit                  35% (AGI over $15,000)

f. Child and dependent care credit        $700 (2,000 × 35%)

Gerard, a job applicant, was asked to appear for an interview by an organization. Gerard spent the first 15 minutes of the job interview relating details about his education and work experience to the interviewer. This is a _____ interview.

Answers

Answer:

The answer is biographical interview

Explanation:

A biographical interview takes place during an interview where the interviewee tells his or her life story(ranging from family background to work experience, education etc). It requires describing and explaining one's own life to the interviewer.

Examples of Biographical interview questions can be:

Tell me about yourself?

What are you strengths? Etc.

What action can a supervisor take to reinforce the desired change and create a work environment that nourishes successful people?

Answers

Answer:

Communicate the reasons for the change.

Explanation:

Remember, reinforcement involves not necessarily employing harsh measures, but communicating with a view to persuade into action.

Since a supervisor is often seen as a head among his colleagues, he thus can exert influence on other employees by explaining the reasons and benefits for such change, doing so would steer employees into accepting the organisational change.

42) Joe just inherited the family business, and having no desire to run the family business, he has decided to sell it to an entrepreneur. In exchange for the family business, Joe has been offered an immediate payment of $100,000. Joe will also receive payments of $50,000 in one year, $50,000 in two years, and $75,000 in three years. The current market rate of interest for Joe is 6%. In terms of present value (PV), how much will Joe receive for selling the family business? A) $$245,641 B) $254,641 C) $641,254 D) $254,461

Answers

Answer:

Total PV= $254,641.08

Option B.

Explanation:

Giving the following information:

Cash flows:

Cf0= $100,000

Cf1= 50,000

Cf2= 50,000

Cf3= 75,000

Interest rate= 6%

To calculate the present value, we need to use the following formula on each cash flow:

PV= FV/(1+i)^n

Cf0= 100,000

Cf1= 50,000/1.06= 47,169.81

Cf2= 50,000/1.06^2= 44,499.82

Cf3= 75,000/1.06^3= 62,971.45

Total PV= $254,641.08

The flying of new employees to a three-day training session at Uberversity in San Francisco to learn about the company is part of the organization's:_______
a) labor relations
b) selection process
c) performance management
d) benefits
e) onboarding

Answers

Answer:

e) onboarding

Explanation:

Onboarding is the process by which new employees are introduced to the companie's culture including operational procedures and training on their job roles.

Onboarding is an important step in making the employee more efficient on the job. It is also called organisational socialising.

In the given scenario where new employees fly to a three-day training session at Uberversity in San Francisco to learn about the company, is an onboarding process.

In order to find the future worth, F, from a present amount, P, 5 years from now at an interest rate of 6 % per year, compounded quarterly, what interest rate must be used in the F/P factor, (F/P,i%,n), when n is 20 quarters

Answers

Answer:

Interest rate = 1.5%

Explanation:

Given:

Future value = F

Present value = P

Number of Year (n) = 5 year × 4 quarters = 20

Interest rate = 6 % per year = 6 / 4 = 1.5% = 0.015

Computation:

Future value = Present value[tex](1+i)^n[/tex]

F/P = (1+0.015)²⁰

F/P = 1.34685501

When n = 20 quarters

F/P = (1+i)²⁰

1.34685501 = (1+i)²⁰

i = 0.015

Interest rate = 1.5%

Use the following table for the problem below.
1 Ping-Pong Balls 1 Hat
Larry 1/5 of a hat 5 ping-pong balls
Curly 1/2 of a hat 2 ping-pong balls
According to the opportunity cost table above, which trading proposal will Curly gain and Larry lose?
A. Larry offers Curly 1 ping-pong ball for 1/4 of a hat.
B. Curly offers Larry 1 hat for 3 ping-pong balls.
C. Curly offers Larry 1 hat for 4 ping-pong balls.
D. Larry offers Curly 1 ping-pong ball for 1/3 hat.

Answers

Answer:

No option is correct:

A. Larry offers Curly 1 ping-pong ball for 1/4 of a hat.B. Curly offers Larry 1 hat for 3 ping-pong balls. C. Curly offers Larry 1 hat for 4 ping-pong balls. D. Larry offers Curly 1 ping-pong ball for 1/3 hat.

In order for Curly to win and Larry lose, Curly must offer 1 hat in exchange for 6 or more ping-pong balls.

Option A: Larry wins 1 ping-pong ball.Option B: Larry wins 2 ping-pong balls. Option C: Larry wins 3 ping-pong balls. Option D: Larry wins 0.13 of a hat.  

Explanation:

Opportunity costs are the benefits lost or extra costs associated to choosing one investment or activity over another alternative.

In this case, Larry can either have 1 hat or 5 ping-pong balls. Curly can have 1 hat or 2 ping-pong balls.

Mitch likes his coworkers, thinks his pay is fair, and appreciates the interesting assignments his boss gives him, so Mitch is likely to have high A. emotional stability, B. self-management, C. self-awareness, D. job satisfaction

Answers

Answer:

D. job satisfaction

Explanation:

Job satisfaction measures how contented a staff is with his job. It measures how the employee feels about his job.

Mitch likes his job, his co workers and his salary. Mitch is likely to have a high job satisfaction

I hope my answer helps you

Bob and Alice want to remodel their bathroom in 4 years. They estimate the job will cost $35,000. How much must they invest now at an annual interest rate of 4% compounded quarterly to achieve their goal? The Morenos invest $9000 in an account that grows to $11,000 in 4 years. What is the annual interest rate r if interest is compounded
a. Quarterly
b. Continuously
A) a. 2.192% b.2.179%
B) a. 4.5432% b.4.5153%
C) a. 6.0576% b. 6.0204%
D) a. 5.048% b.5.017%

Answers

Answer:

Bob and Alice want to remodel their bathroom in 4 years. They estimate the job will cost $35,000. How much must they invest now at an annual interest rate of 4% compounded quarterly to achieve their goal?

we need to use the present value formula:

present value = future value / (1 + interest rate)ⁿ = $35,000 / (1 + 1%)¹⁶ = $29,848.74

The Morenos invest $9000 in an account that grows to $11,000 in 4 years. What is the annual interest rate r if interest is compounded

a. Quarterly

$9,000 = $11,000 / (1 + r)¹⁶

(1 + r)¹⁶ = $11,000 / $9,000 = 1.2222

¹⁶√(1 + r) = ¹⁶√1.2222

1 + r = 1.01262

r = 0.01262 = 1.26% ⇒ quarterly interest rate

annual interest rate = 1.26% x 4 = 5.048%

b. Continuously

future value = present value x eᵃⁿ

future value = $11,000present value = $9,000e = 2.718a = interest rate ???n = 4 years

$11,000 = $9,000 x 2.718⁴ⁿ

2.718⁴ⁿ = $9,000 / $11,000 = 0.818181818

⁴√2.718⁴ⁿ  =  ⁴√0.818181818

2.718ⁿ = 0.95107

nlog2.718 = log0.95107

n 0.434249452 = -0.021787543

n = -0.021787543 / 0.434249452 = -0.05017, since n must be positive, then

n = 0.05017 = 5.017%

D) a. 5.048%    b. 5.017%

Income statements under absorption and variable costing Gallatin County Motors Inc. assembles and sells snowmobile engines. The company began operations on July 1 and operated at 100% of capacity during the first month. The following data summarize the results for July: Sales (3,000 units) $2,310,000 Production costs (3,000 units): Direct materials $993,300 Direct labor 427,200 Variable factory overhead 69,600 Fixed factory overhead 109,200 1,599,300 Selling and administrative expenses: Variable selling and administrative expenses $49,600 Fixed selling and administrative expenses 20,800 70,400 This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the questions below. Open spreadsheet a. Prepare an income statement according to the absorption costing concept. Gallatin County Motors Inc. Absorption Costing Income Statement For the Month Ended July 31 $ $ $ b. Prepare an income statement according to the variable costing concept. Gallatin County Motors Inc. Variable Costing Income Statement For the Month Ended July 31 $ $ $ Fixed costs: $ $ c. What is the reason for the difference in the amount of Operating income reported in (a) and (b)

Answers

Answer:

Gallatin County Motors, Inc.

a. Gallatin County Motors Inc. Absorption Costing Income Statement For the Month Ended July 31:

Sales (3,000 units)                           $2,310,000

Production costs (3,000 units):

Direct materials              $993,300

Direct labor                       427,200

Variable factory overhead 69,600

Fixed factory overhead    109,200

Total production costs  1,599,300    1,599,300

Gross profit                                          $710,700

Selling and administrative expenses:

Variable selling and administrative    $49,600

Fixed selling and administrative          20,800

Net Income                                       $640,300

b. Gallatin County Motors Inc. Variable Costing Income Statement For the Month Ended July 31:

Sales (3,000 units)                                             $2,310,000

Production costs (3,000 units):

Direct materials                                 $993,300

Direct labor                                          427,200

Variable factory overhead                    69,600

Variable selling and administrative     49,600

Total production costs                    1,539,700    1,539,700

Contribution                                                         $770,300

Fixed expenses:

Fixed factory overhead                    109,200

Fixed selling and administrative       20,800       130,000

Net Income                                                        $640,300

c. Reason for the difference in the amount of the operating income in (a) and (b):

There is no difference in this case.  A difference would arise if there were  beginning and closing inventories from the different treatment of fixed production overheads, which are absorbed in the product costs.

Explanation:

Gallatin County Motors, Inc.'s income statement under absorption costing technique measures the cost of production and net income by taking into full account the full production costs, including fixed overheads.  It reports a gross profit figure which compares the full cost of production and the service revenue.

On the other hand, Gallatin County Motors, Inc.'s income statement under the variable costing technique measures the cost of production and net income by taking into account all the variable costs.  With this technique, a contribution margin is the difference between service revenue and variable costs.

Differences in the reported net income arise from the presence of beginning and ending inventory.  Another difference is that while absorption costing income statement reports a gross profit figure before net income, the variable costing income statement reports a contribution margin and, in addition, regards all fixed costs as period costs.

An income statement for Gallatin County Motors, Inc. uses an absorption costing approach to calculate the cost of production and net income by accounting for all production expenses, including fixed overheads.

It gives a gross profit statistic that compares the whole cost of manufacturing to the income from services.

The calculations of the net operating income have been attached below.

c. Reason for the discrepancy in operating income amounts in (a) and (b):

In this scenario, there is no distinction. If there were beginning and closing inventories, a difference would develop due to the different treatment of fixed production overheads, which are included in product costs.

This same existence between marking inventories creates differences in the recorded net income.

Another distinction is that, although an absorption costing income statement shows gross profit before net profit, a flexible budget income statement shows a contribution margin and treats all fixed expenses as period costs.

To know more about the calculations of the net operating income, refer to the link below:

https://brainly.com/question/15864433

Companies that show profits on the income statement will always show positive cash flows from operating activities.

a. True
b. False

Answers

Answer:

B. False.

Explanation:

Firstly, explaining a cash flow statement will be explained or tells us how much cash from the business is entering and leaving your business. This is been explained better with the aid of a balance sheets and also income statements; these are practically three most important financial statements that helps effectively in accounts of business management in a small business accounting and making sure you have enough cash to keep operating.

Using a template or probably an excel spreadsheet, the income statement and cash flow statements are been well understood and at this it is totally false to say that companies that show profits on the income statement will always show positive cash flows from operating activities.

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