Answer:
9.37
Explanation:
The computation of LCL for a control chart is shown below:-
Sample Obs 1 Obs 2 Obs 3 Obs 4 Mean observation Range
1 10 12 12 14 12 4
2 12 11 13 16 13 5
3 11 13 14 14 13 3
4 11 10 7 8 9 4
5 13 12 14 13 13 2
For computing the mean observation and range we will use the below formulas
Mean observation = ( Obs 1 + Obs 2 + Obs 3 + Obs 4) ÷ 4
Range = Highest value - Lowest value
[tex]LCL = \bar{\bar{X}} - A2 \bar{R}[/tex]
[tex]\bar X[/tex] = ( 12 + 13 + 13 + 9 + 13 ) ÷ 5
= 12
[tex]\bar R[/tex] = ( 4 + 5 + 3 + 4 + 2 ) ÷ 5
= 3.6
Since we found the value of A2 with the help of constants table for control charts for a 4 subgroup size.
A2 = 0.729
[tex]LCL = \bar{\bar{X}} - A2 \bar{R}[/tex]
12 - 0.729 × 3.6
= 9.37
A government bond with a coupon rate of 5% makes semiannual coupon payments on January 12 and July 12 of each year. The Wall Street Journal reports the asked price for the bond on January 27 at $1,004.375. What is the invoice price of the bond? The coupon period has 182 days.
Answer:
invoice price (dirty price) = $1,006.435
Explanation:
semi-annual coupon = $1,000 x 5% x 1/2 = $25
clean price = $1,004.375
accrued interest = (Jan. 27 - Jan. 12) x $25 x 1/182 = $2.06
invoice price (dirty price) = clean price + accrued interest = $1,004.375 + $2.06 = $1,006.435
the dirty price or invoice price of a bond includes any accrued interest that the bond may have earned in the period between the last coupon payment and the transaction date.
Factor Co. can produce a unit of product for the following costs: Direct material $ 8.40 Direct labor 24.40 Overhead 42.00 Total costs per unit $ 74.80 An outside supplier offers to provide Factor with all the units it needs at $43.40 per unit. If Factor buys from the supplier, the company will still incur 70% of its overhead. Factor should choose to:
Answer: Buy since the relevant cost to make it is $46.45.
Explanation:
given data:
Direct material = $ 8.40
Direct labor = 24.40
Overhead = 42.00
Total costs per unit = $ 74.80
had to complete the question.
Multiple Choice
Buy since the relevant cost to make it is $63.85.
Make since the relevant cost to make it is $46.45.
Buy since the relevant cost to make it is $46.45.
Make since the relevant cost to make it is $33.40.
Buy since the relevant cost to make it is $33.40.
Solution:
Relevant cost to consider = Direct Material + Direct labor + (Overhead * 30%)
= $8.70 + $24.70 + ($43.50 * 30%)
= $46.45
Answer:
The units should purchased from the outside supplier.
Explanation:
production costs:
Direct material $8.40
Direct labor $24.40
Overhead $42.00
Total costs per unit $74.80
avoidable costs = $8.40 + $24.40 + (30% x $42) = $45.40
unavoidable costs = $74.80 - $45.40 = $29.40
costs of purchasing from outside vendor = $43.40 + $29.40 = $72.80
since the total costs of purchasing the unit from an outside vendor are lower than the total production costs, then they should buy them from the outside supplier.
A ________ externality exists when the number of customers who purchase a good or use it influences the quantity demanded.
Answer: network
Explanation:
Network externality simply states that demand for a good or service has to do with how other people demand for that particular good or service. It means consumer's buying patterns are influenced by the purchase of others buying the product.
Therefore, a network externality exists when the number of customers who purchase a good or use it influences the quantity demanded.
A project that provides annual cash flows of $2,700 for nine years costs $8,800 today.
Requirement 1:A. At a required return of 9 percent, what is the NPV of the project?
B. At a required return of 28 percent, what is the NPV of the project?
C. At what discount rate would you be indifferent between accepting the project and rejecting it?
Answer:
A. $8,187.17
B. $597.38
C. 30%
Explanation:
Calculate the Net Present Value of the Project at the Required Return of 9%
The following is the calculation of NPV using a financial calculator :
($8,000) CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
9.00 % i/yr
Shift NPV $8.187.1666 or $8,187.17
Calculate the Net Present Value of the Project at the Required Return of 9%
The following is the calculation of NPV using a financial calculator :
($8,000) CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
28.00 % i/yr
Shift NPV $597.3765 or $597.38
You will be indifferent between accepting the project and rejecting it at the internal rate of return. The Internal Rate of Return is the interest rate that makes the Present Vale of Cash Flows to equal the Initial Cost of the Investment.
Use the Data given to find the Internal Rate of Return :
($8,000) CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
$2,700 CFj
Shift IRR 30%
Instruments had retained earnings of at December 31, . Net income for totaled , and dividends declared for were . How much retained earnings should report at December 31, ?
Answer:
B. $ 490,000
Explanation:
According to the given situation, the computation of retained earning in the year end is shown below:-
Ending retained earning = Beginning Retained Earnings + Net Income for the year - Dividend
= $360,000 + $180,000 - $50,000
= $490,000
Therefore for computing the ending retained earning we simply applied the above formula.
Investment in human capital is very similar to investing in physical capital. True or false? Explain your answer.
Answer:
True.
Explanation:
This statement is true because investing in human capital and physical capital has the similarity that these assets will lead the organization to carry out its processes, achieve its objectives and goals, and generate liquidity, therefore the similarity is in the importance of capital for the organization.
Human capital can be more difficult to measure, as it is intangible, and physical capital is easier to measure and analyze what the return provides for organizational activities.
However, there are ways to measure how human capital positively impacts the company, so it is necessary to have an effective management that provides the best investment of the ideal human and physical capital for your needs.
Pfd Company has debt with a yield to maturity of , a cost of equity of , and a cost of preferred stock of . The market values of its debt, preferred stock, and equity are million, million, and million, respectively, and its tax rate is . What is this firm's after-tax WACC? Note: Assume that the firm will always be able to utilize its full interest tax shield.
Pfd Company has debt with a yield to maturity of 7.5%, a cost of equity of 13.5%, and a cost of preferred stock of 9.5%. The market values of its debt, preferred stock, and equity are $10.5 million, $3.5 million, and $24.5 million, respectively, and its tax rate is 40%. What is this firm's weighted average cost of capital (WACC)?
Answer:
10.68%
Explanation:
As we know that:
WACC = Ke * Ve / (Ve + Vpref + Vd (1-Tax))
+ Kd * Vd*(1-tax) / (Ve + Vpref + Vd*(1-Tax))
+ Kpref * Vpref / (Ve + Vpref + Vd (1-Tax))
Here
Ke is 13.5%
Pre tax Kd is 7.5%
Kpref is 9.5%
Ve is value of equity and is $24.5 million
Vpref is value of equity $3.5 million
Vd is $10.5 million
Tax rate is 40%
By putting the values, we have:
WACC = 13.5% *$24.5 / ($24.5m + $3.5m + $10.5m (1-40%))
+ 7.5% * (1-40%) * $45m / ($24.5m + $3.5m + $10.5m (1-40%))
+ 9.5% * $3.5m / ($24.5m + $3.5m + $10.5m (1-40%))
WACC = 0.045 * 0.273 + 0.095 * 0.091 + 0.135 * 0.636
= 10.68%
All else being equal, an increased demand for U.S. products in the European Union will create a A.)supply of euros. B.)surplus of euros. C.)shortage of euros. D.)demand for euros.
Answer:
Correct Answer:
B.)surplus of euros.
Explanation:
United States of America as one of the most industrialized country with factories and firms producing goods and services engages in trade with other countries. Should their goods and services be demanded by European countries, it would create surplus of Euros due to the fact that, all the goods would be paid for by the common currency used by the European countries which is Euros.
Rinaldo then wants to know whether you understand the impact of errors on the trial balance. If there are errors in the accounts in the general ledger, the trial balance:
Answer: c. may or may not balance
Explanation:
Even though there are errors in the General Ledger, it is not a given that the Trial Balance will not balance. The purpose of the Trial balance is to match the debits in the company to the credits. This means that if the errors in the General Ledger were still put on the correct side then the Trial Balance would still balance.
For instance, if utility expenses were debited to Purchases in error, both accounts fall on the debit side of the Trial Balance so the Trial Balance would still balance regardless of the error.
true or false: a supply curve describes how much a producer of services are willing to sell at different prices
Answer:
True
Explanation:
The supply curve is a graph showing the quantities of a good or service a supplier is willing and able to supply at differnt prices.
According to the law of supply. the higher the price, the higher the quantity supplied and the lower the price, the lower the quantity supplied.
the supply curve is upward sloping
How much does real GDP per capita need to increase in South Korea in 2011 to achieve a growth rate consistent with its 60-year average (1950-2010)
Answer: $1,820
Explanation:
From the snapshot it is shown that for the period 1950 to 2010, South Korea had achieved a growth rate of 5.54% per annum.
In 2010, South Korea had a Real GDP of $32,855.
To maintain the 5.54% rate, the GDP pr capita would have to increase by;
= $32,855 * 5.54%
= $1,820.167
= $1,820
The balance sheet of Cattleman's Steakhouse shows assets of $86,000 and liabilities of $14,400. The fair value of the assets is $89,400 and the fair value of its liabilities is $14,400. Longhorn paid Cattleman's $82,920 to acquire all of its assets and liabilities. Longhorn should record goodwill on this purchase of:
Answer:
The goodwill is $7,320
Explanation:
It is given that fair value of assets is $89,400 and fair value of liabilities is $14,400
Fair value difference = Fair value of assets - Fair value of liabilities
Fair value difference = $89,400 - $14,400
Fair value difference = $75,000
Hence, the fair value difference is $75,000
It is given that acquisition price is $82,920 and calculated fair value difference is $75,600. Calculation of goodwill is given below
Goodwill = Acquisition price - Fair value difference
Goodwill = $82,920 - $75,600
Goodwill = $7,320
Hence, the goodwill is $7,320.
Beginning in 6 years, (beginning of years 6, 7,8 and 9) Sally Mander will receive four annual benefit checks of $12,000 each. If Sally assumes an interest rate of 7%, what is the present value of these checks?
Answer:
$28,980
Explanation:
The present value can be calculated by multiplying annual cashflows with the discount factor. The table to calculate the Present Value has been made below.
DATA
Annual benefit = $12,000
Discount rate = 7%
Present value =?
Calculation
Year Cash inflows Discount factor Present Value
6 $12,000 0.666 $7,992
7 $12,000 0.623 $7,476
8 $12,000 0.582 $6,984
9 $12,000 0.544 $6,528
Total $28,980
You are organizing an executive event for the company you work for. Write a letter to the person in charge of a venue that you are considering for the event and ask for detailed information regarding dates, services and costs. Be thorough and consider things such as: Entertainment Food Beverages Valet Cost Etc
Answer:
Mi-Tech Information and Communication INC,
43 D-Drive, Michigan,
USA.
August 8th, 2020.
The Empire Event Center INC,
3 Boulevard avenue, Michigan,
Sir,
INFORMATION INQUIRY FOR HOSTING AN EVENT
As the communication officer of the above named company, I wish to bring to your notice about our aim of hosing our end of the business year party using your facility. This is based on the agreement reached by the management board.
Unfortunately, due to lack of detailed information and financial implication involved, I was asked to write to your company. The information I need from your company include:
1. The cost of the event Venue
2. The cost of catering of food for 200 people in the venue. Drinks and water would be inclusive.
3. The entertainment, would it be free when renting the event venue or it would attract extra charge?
4. The valet who would render services, what are their charges like or would the cost be catered by your company?
5. The proposed date for the party is 30th and 31st December. Hope your organization is not engaged by that time?
6. What other extra services is available and which your company offers for such events we are planning to host?
7. Is there any other extra cost which my company should be aware of if we are to use your facility?
I will need to relay back to the management board the above answers to questions which I asked above. I look forward to your response soonest.
Yours sincerely,
Adam Michael (Communication officer)
For: Mi-Tech Information and Communication INC.
Explanation:
Open space arrangements in workstations increase communication and potentially decrease noise, distractions, and loss of privacy.
a. true
b. false
Answer:
false
Explanation:
while open space arrangement increases communication, it also increases noise, distractions, and loss of privacy.
Answer:
b. False
Explanation:
Although open space arrangement in a workstation increases communication , yet such communication would eventually lead to an increase noise, distractions and loss of privacy. This is the reason why modern organizations preferred the use of cubicle in demarcating spaces allocated to their employees.
The advantage of using cubicle as demarcation is that there will be less noise and distractions hence leads to increase in productivity . An employee would also have his or her privacy unlike an open space arrangement.
Because of the ability to override internal controls, it is usually most difficult to prevent which type of fraud?
Answer: The fraud that is committed by a company president
Explanation:
Because of the ability to override internal controls, it is difficult to prevent the fraud that is committed by a company president.
Overiding the existing rules and policies guiding the organization makes it hard for the president Frau to be prevented.
Tax Services prepares tax returns for senior citizens. The standard in terms of (direct labor) time spent on each return is hours. The direct labor standard wage rate at the firm is per hour. Last month, direct labor hours were used to prepare tax returns. Total wages were .
Answer:
Tax Services
Total wages were:
= hourly wage rate * total hours spent on returns for the month
For example, if the hourly wage rate is $50 and the total hours spent on the returns equal 560 hours, the total wages will be equal to $28,000 ($50 x 560).
Explanation:
The Tax Services' total wages will be equal to the hourly wage rate multiplied by the total hours spent on returns during the month. The total hours spent on the returns for the month is obtained by adding up the hours spent on all the returns. The total wages depend on the hours worked and the standard wage rate that has been established in the firm.
5. Suppose that a firm is in an industry which has a very rapid rate of growth (in sales and output), and is characterized by technological change and innovation. Firms attempt to maximize profits causing new firms to enter the industry attracted by profit potential. The result is that profits are competed away, leading to even greater innovation and change. Is there a limit to this continuous change
Answer:
If we use high tech industry as our subject here, I would say that there is no limit to continuous change. We can look at he last 45 years and ever since Steve Jobs developed the Apple I, PCs have continuously evolved into different products and their rate of technological evolution has currently increased. Any modern smartphone is hundreds of times more powerful than the first PCs, they are even more powerful than huge computers that existed back then. Currently high tech companies are trying to develop AI, and who knows what after. The only problem is that project lives tend to be very short, but that is part of the game. The profit margins of the firms that are successful are huge, just look at how Apple became the first company to be worth more than 2 trillions.
An investor buys a $1,000 par TIPS security with 3 years to maturity, a semiannual coupon, and a 4.25% coupon rate. If inflation over the next 6 months is 2.50%, what will be the first coupon payment that the TIPS investor will receive?
Answer:
$1,184.34
Explanation:
Adjusted face value = 1,000 * (1+2.50%) ^ (3*2)
Adjusted face value = 1,000 * 1.025^6
Adjusted face value = 1,000 * 1.159693
Adjusted face value = $1,159.693
Final payment = Coupon + Adjusted principal
= 1,159.693 * (4.25%/2) + 1,159.693
= 1,159.693 * 0.02125 + 1,159.693
= 24.6435 + 1,159.693
= 1,184.3365
= $1,184.34
On January 4, 2021, Runyan Bakery paid $344 million for 10 million shares of Lavery Labeling Company common stock. The investment represents a 30% interest in the net assets of Lavery and gave Runyan the ability to exercise significant influence over Lavery's operations. Runyan received dividends of $4.50 per share on December 15, 2021, and Lavery reported net income of $250 million for the year ended December 31, 2021. The market value of Lavery's common stock at December 31, 2021, was $32 per share. On the purchase date, the book value of Lavery's identifiable net assets was $900 million and: The fair value of Lavery's depreciable assets, with an average remaining useful life of seven years, exceeded their book value by $70 million. The remainder of the excess of the cost of the investment over the book value of net assets purchased was attributable to goodwill. Required: 1. Prepare all appropriate journal entries related to the investment during 2021, assuming Runyan accounts for this investment by the equity method. 2. Prepare the journal entries required by Runyan, assuming that the 10 million shares represent a 10% interest in the net assets of Lavery rather than a 30% interest.
Answer:
1. Dr Investment in LL $344
Cr Cash $344
Dr Investment in LL $75
Cr Investment Revenue $75
Dr Cash $45
Cr Investment in LL $45
2. Dr Investment in LL $344
Cr Cash $344
Dr Cash $45
Cr Investment in LL $45
Dr Net Unrealized loss -OC1 $24
Cr Fair value adjustment $24
Explanation:
1.
Preparation of the Journal entry to record the invoice made from 10million shares
Dr Investment in LL $344
Cr Cash $344
(To record the invoice made from 10million shares)
Preparation of the Journal entry to record the share in net income
Dr Investment in LL $75
($250×30%)
Cr Investment Revenue $75
(To record the share in net income)
Preparation of the Journal entry to record the dividend income
Dr Cash $45
(10×$4.50 per share)
Cr Investment in LL $45
(To record the dividend income)
2.
Preparation of the Journal entry to record the invoice made from 10million shares
Dr Investment in LL $344
Cr Cash $344
(To record the invoice made from 10million shares)
Preparation of the Journal entry to record the dividend income
Dr Cash $45
(10×$4.50 per share)
Cr Investment in LL $45
(To record the dividend income)
Preparation of the Journal entry to record the adjusting entry
Dr Net Unrealized loss -OC1 $24
(10×$32 per share)-$344
(320-344=-$24)
Cr Fair value adjustment $24
(To record the adjusting entry)
Given money demand, by how much would the Moola central bank need to change the money supply to close the output gap?
Answer:
A. 5%
B. $20
C.-$20
D. $100 increase
E.$2
Explanation:
a. Calculation for the equilibrium interest rate in Moola
When we look at the table we would actually see that Money supply amount of $500 equal the Money demand amount of $500 which means that the equilibrium interest rate will be 5 percent.
b. The level of investment at the equilibrium interest rate.
Since we have 5% as the equilibrium interest rate which means that the investment at the equilibrium interest rate will be $20.
c. If we look at table we are going to see that the potential GDP of the amount of $330 and the actual GDP of the amount of $350 are beside the interest rate of 5 percent and we could as well see that actual GDP is lower than potential GDP which means that there is negative recessionary GDP gap.
Hence,
Recessionary GDP gap= Actual GDP - Potential GDP
Recessional GDP gap=Actual GDP $330- Potential GDP=-$20
Therefore-$20 will be the recessionary GDP gap.
d. In order for us to eliminate the recessionary gap, so that actual GDP amount can equal potential GDP , this means we have to increase the money supply to the amount of $600 which will inturn lead to an increase of $100
e. Calculation for the expenditure multiplier,
Expenditure multiplier=(Potential GDP $350-Actual GDP $330)/($20-$10)
Expenditure multiplier=$20/10
Expenditure multiplier=$2
Therefore the Expenditure multiplier will be $2
The question is incomplete as the table is not given.
In economics, demand and supply are the most important factors for any business to analyze the market. There is an inverse relationship between demand and supply. If the demand is high and supply is low then there will be higher prices of the goods.
The Moola central bank needs to change the supply of money by increasing $100 to close the output gap.
Reason:
In order to make the actual GDP amount to be equal to the potential GDP, that means by increasing the money supply of $600 will give the effect of $100 for covering the gap.
To know more about demand and supply, refer to the link:
https://brainly.com/question/14741584
. Define a primary and secondary market for securities and discuss how they differ. Discuss how the primary market is dependent on the secondary market. (
Explanation:
Primary market for securities is one that provides access to buy new new issues of stocks and bonds of a company. A good example of primary market is an Initial Public Offering (IPO), organized by a company that wants to sell it's shares for the first time to investors.
While Secondary market, are places to sell securities to a secondary (second) buyer from the current security owner who bought from the primary market.
The primary market is dependent on the secondary market since it is the demand from the secondary market that determines the asset valuation of the primary market.
Pharoah Inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. Direct materials (6 pounds at $1.60 per pound)$9.60 Direct labor (6 hours at $10.00 per hour)$60.00 During the month of April, the company manufactures 310 units and incurs the following actual costs. Direct materials purchased and used (2,400 pounds)$4,080 Direct labor (1,880 hours)$18,612 Compute the total, price, and quantity variances for materials and labor.
Answer:
Materials
price variance = $240 Unfavorable
quantity variance = $864 Unfavorable
total variance = $1,104 Unfavorable
Labor
price variance = $188 Favorable
quantity variance = $200 Unfavorable
total variance = $12 Unfavorable
Explanation:
Materials
price variance = (Aq × Ap) - (Aq × Sp)
= (2,400 × $1.70) - (2,400 × $1.60)
= $240 Unfavorable
quantity variance = (Aq × Sp) - (Sq × Sp)
= (2,400 × $1.60) - (310 × 6 × $1.60)
= $864 Unfavorable
total variance = price variance + quantity variance
= $240 + $864
= $1,104 Unfavorable
Labor
price variance = (Aq × Ap) - (Aq × Sp)
= (1,880 × $9.90) - (1,880 × $10.00)
= $188 Favorable
quantity variance = (Aq × Sp) - (Sq × Sp)
= (1,880 × $10.00) - (310 × 6 × $10.00)
= $200 Unfavorable
total variance = price variance + quantity variance
= $188 + (-$200)
= $12 Unfavorable
Andrews Corp. ended the year carrying $153,576,000 worth of inventory. Had they sold their entire inventory at their current prices, how much more revenue would it have brought to Andrews Corp.?
Answer:
$153,576,000
Explanation:
The reason is that the company has sold maximum number of units that it can in the year. If it desires to sell all of its stock then it will have to decrease the cost of the product to increase the demand of the product. The least level of cost that the company can charge will be its finished goods recorded value which is the price at which the company breakevens.
Hence the additional sales would be $153,576,000 which is the carrying worth of inventory.
Jasper makes a $27,000, 90-day, 8.0% cash loan to Clayborn Co. Jasper's entry to record the collection of the note and interest at maturity should be: (Use 360 days a year.)
Answer:
Dr Cash $25,500
Cr Interest Revenue $500
Cr Notes Receivable $25,000
Explanation:
Based on the information we were told Jasper makes the amount of $27,000 which include 90-day and 8.0% cash loan to Clayborn Co, which means that Jasper's Journal entry to record the collection of the note and interest at maturity should be:
Dr Cash $25,500
(25,000+500)
Cr Interest Revenue $500
(25,000*8%*90/360)
Cr Notes Receivable $25,000
Copy equipment was acquired at the beginning of the year at a cost of $36,600 that has an estimated residual value of $3,300 and an estimated useful life of 5 years. It is estimated that the machine will output an estimated 1,110,000 copies. This year, 252,000 copies were made. a. Determine the depreciable cost. $ 33,300 b. Determine the depreciation rate. $ per copy c. Determine the units-of-output depreciation for the year. $
Answer:
a. $33,300
b. $0.03 per copy
c. $7,560
Explanation:
Units of Output = (Cost - Residual Value) × ( Period`s Production / Total Expected Production)
Depreciable Cost = Cost - Residual Value
= $36,600 - $3,300
= $33,300
Depreciation Rate = Depreciable cost ÷ Expected Production
= $33,300 ÷ 1,110,000 copies
= $0.03 per copy
Depreciation for the year = Depreciation Rate × Period`s Production
= $0.03 × 252,000 copies
= $7,560
The ratio of sales to invested assets, which is also a factor in the DuPont formula for determining the rate of return on investment, is called
Answer:
Investment turnover
Explanation:
Investment turnover is used to compare the revenue earned by a business to the invested assets (equity or debt). It measures how effectively the business is using investment to generate profit.
The number of times investment is converted to revenue is calculated using this method (that is the turnover).
This metric is used in the Dupont formula.
Dupont formula is a financial ratio that evaluates a company's ability to increase return on equity.
Three main components of the Dupont formula are: profit margin, total asset turnover, and financial leverage.
The incredible shrinking $50 bill in 1957 was worth $50, but in 2007 it is worth only $. a. What was the compounded average annual inflation rate (loss of purchasing power) during this period of time? b. Fifty dollars invested in the stock market in 1957 was worth $ in 2007. In view of your answer to Part (a), what was the annual real interest rate earned on this investment?
Answer:
A. 4.02%
B. 3.49%
Explanation:
a. Computation of the compounded average annual inflation rate during this period of time
Using this formula
Annual inflation rate=FV/ P *(1+i)^t
Where,
t = 2007 - 1957 = 50 yrs
FV = 6.42
P = 50
Let plug in the formula
Annual inflation rate = (6.42 / 50)^(1/50) - 1
Annual inflation rate= 0.1284 ^ 0.02 - 1
Annual inflation rate= 0.959779 - 1
Annual inflation rate= -0.0402208 *100%
Annual inflation rate=4.02%
b. Computation of the annual real interest rate earned on this investment
First step is to find the Norminal ROR
Using this formula
Norminal ROR
= FV/ P *(1+i)^t
Where
FV = 1998
P = 50
let plug in the formula
Norminal ROR = (1998 / 50)^(1/50) -1
Norminal ROR= 39.96 ^ 0.02 - 1
Norminal ROR= 1.076545 - 1
Norminal ROR= 0.0765457 *100
Norminal ROR= 7.65%
Last step is to calculate for annual real interest rate earned using this formula
Annual real interest rate earned = (1+ Nominal ROR) / (1+ Inflation) -1
Let plug in the formula
Annual real interest rate earned=(1+0.0765457) / (1+0.0402208) - 1
Annual real interest rate earned= (1.0765457) / (1.0402208) - 1
Annual real interest rate earned= 1.034920 - 1
Annual real interest rate earned= 0.0349*100
Annual real interest rate earned=3.49%
Therefore the Annual inflation rate will be 4.02% while Annual real interest rate earned will be 3.49%
Problem 9-18 Comprehensive Variance Analysis [LO9-4, LO9-5, LO9-6]
Miller Toy Company manufactures a plastic swimming pool at its Westwood Plant. The plant has been experiencing problems as shown by its June contribution format income statement below:
Flexible Budget Actual
Sales (3,000 pools) $ 179,000 $ 179,000
Variable expenses:
Variable cost of goods sold* 33,390 44,540
Variable selling expenses
11,000
11,000
Total variable expenses
44,390
55,540
Contribution margin
134,610
123,460
Fixed expenses:
Manufacturing overhead 50,000 50,000
Selling and administrative 75,000 75,000
Total fixed expenses
125,000
125,000
Net operating income (loss) $ 9,610 $
(1,540
)
*Contains direct materials, direct labor, and variable manufacturing overhead.
Janet Dunn, who has just been appointed general manager of the Westwood Plant, has been given instructions to "get things under control." Upon reviewing the plant’s income statement, Ms. Dunn has concluded that the major problem lies in the variable cost of goods sold. She has been provided with the following standard cost per swimming pool:
Standard Quantity or Hours Standard Price
or Rate Standard Cost
Direct materials 3.6 pounds $
2.00
per pound $ 7.20
Direct labor 0.5 hours $
6.60
per hour 3.30
Variable manufacturing overhead 0.3 hours* $
2.10
per hour
0.63
Total standard cost per unit $ 11.13
*Based on machine-hours.
During June the plant produced 3,000 pools and incurred the following costs:
Purchased 15,800 pounds of materials at a cost of $2.45 per pound.
Used 10,600 pounds of materials in production. (Finished goods and work in process inventories are insignificant and can be ignored.)
Worked 2,100 direct labor-hours at a cost of $6.30 per hour.
Incurred variable manufacturing overhead cost totaling $3,000 for the month. A total of 1,200 machine-hours was recorded.
It is the company’s policy to close all variances to cost of goods sold on a monthly basis.
Required:
1. Compute the following variances for June:
a. Materials price and quantity variances.
b. Labor rate and efficiency variances.
c. Variable overhead rate and efficiency variances.
2. Summarize the variances that you computed in (1) above by showing the net overall favorable or unfavorable variance for the month.
Answer:
1 a. Materials price and quantity variances.
Material price variance = (Actual price - Standard price) * Actual Quantity purchased
= ($2.45 - $2) * 15,800
= $0.45 * 15,800
= $7110 (Unfavorable)
Materials Quantity variance = (Actual Quantity used - Standard Quantity allowed) * Standard price
(10600 - 3000 * 3.6) * $2
= (10,600 - 10,800) * $2
= 200 * $2
= 400 (Favorable)
b. Labor rate and efficiency variances.
Labor rate variance = (Actual rate - standard rate) * Actual hours
= (6.30 - 6.6) * 2,100
= 0.3 * 2,100
= 630 (Favorable)
Labor Efficiency variance = (Actual hours - standard hours allowed) * Standard rate
= (2100 - 3000 * 0.5) * 6.6
= (2,100 - 1,500) * 6.6
= 600 * 6.6
= 3960 (Unfavorable)
c. Variable overhead rate and efficiency variances
Variable overhead rate variance = (Actual rate - Standard rate * Actual machine hours)
= 3000 - (2.10 * 1200)
= 3,000 - 2,520
= 480 Unfavorable
Variable overhead Efficiency variance = (Actual hours - standard hours allowed)* Standard rate
= (1200 - 3000 * 0.3) * 2.10
= (1200 - 900) * 2.10
= 300 * 2.10
= 630 (Unfavorable)
2. Variances Amount
Material price variance 7,110 U
Material quantity variance 400 F
Labor rate variance 630 F
Labor efficiency variance 3,960 U
Variable overhead rate variance 480 U
Variable overhead efficiency variance 630 U
Net variance 11,150 U
The net variance of all the variance of the month is 11,150 (Unfavorable)
Suppose that it could be demonstrated that a particular tariff on goods from developing countries would transfer benefits from rich Americans to poor Americans and increase total US social welfare. Why might it still be bad from a global social welfare perspective?
Answer and Explanation:
Even if tariffs on developing countries were to increase and better the welfare of poor Americans, increasing social welfare of Americans in general , it would still have a negative welfare impact globally since it would affect developing countries. Developing countries are poorer countries compared to the US, and if they are not able to export their goods to the US(a developed country) because of high tariffs, it would have a multiplier effect on the countries' economy and generally affect the welfare of individuals(even poorer people) in these countries consequently affecting global welfare.
