Solution :
The average number of the arrivals, λ = 6 per hour
Average service rate, [tex]$\mu = \frac{60 \times 2}{15}$[/tex]
= 8
Average number of the customers in the system is given by,
[tex]$= \frac{\lambda}{\mu - \lambda }$[/tex]
[tex]$= \frac{6}{8 - 6 }$[/tex]
= 3
Average number of the customers that are waiting in the line behind the person who are being served is,
[tex]$=\frac{\left(\frac{\lambda}{\mu}\right)^2}{1-\frac{\lambda}{\mu}} $[/tex]
[tex]$=\frac{\left(\frac{6}{8}\right)^2}{1-\frac{6}{8}} $[/tex]
[tex]$=\frac{(0.75)^2 }{0.25} $[/tex]
= 2.25
Proportion of the time the server is busy,
[tex]$=\frac{\lambda}{\mu}$[/tex]
[tex]$=\frac{6}{8}$[/tex]
= 0.75
Park Hyatt Philadelphia has 118 king/queen rooms that it offers to both leisure and business travelers. With leisure travelers in mind, the Hyatt offers a $125 low fare for a midweek stay, which contrasts with the regular fare of $300. The forecasted demand for business travel is normally distributed with a mean of 60 customers and standard deviation of 20 customers. Assuming that leisure travelers always reserve their rooms earlier than business travelers. To maximize the revenue, the Hyatt decides to save some rooms for business travelers. The optimal number of rooms protected should be:__________ a. <60 b. >118 c. >60 d. =60
Answer:
c. >60
Explanation:
Given that:
Overage (CO) = 125
Shortage (CS) = 300
The Service level = [tex]\dfrac{CS}{CS+CO}[/tex]
[tex]=\dfrac{300}{300+125}[/tex]
[tex]=\dfrac{300}{425}[/tex]
= 0.7059
The Z value of 0.7059 is 0.55
where;
the mean [tex]\mu[/tex] = 60
the standard deviation [tex]\sigma[/tex]= 20
Optimal booking = [tex]\mu +(Z \times \sigma)[/tex]
Optimal booking = 60 + (0.55 × 20)
Optimal booking = 60 + 11
Optimal booking = 71
Long Life Floors just paid an annual dividend of $0.82 a share and plans on increasing future dividends by 2 percent annually. The discount rate is 15 percent. What will the value of this stock be 5 years from
Answer:
the value of this stock be 5 years from today is $7.10
Explanation:
The computation of the value of the stock be 5 years from today is as follows:
D6 is
= D0 × (1 + 2%)^6
= $0.82 × (1 + 2%)^6
= 0.923453184
Now the price at year 5 is
= 0.923453184 ÷ (15% - 2%)
= $7.103486031
Hence, the value of this stock be 5 years from today is $7.10
What was the impact of "subprime" mortgages on the economy?
A.They increased defaults and caused large losses at financial institutions.
B.They initially reduced profits and sales of lenders.
C. They reduced interest rates.
Answer:
A.They increased defaults and caused large losses at financial institutions.
Explanation:
'Subprime" mortgages were home homes offered in the early 2000s to borrowers with low and poor credit history. By the time of issues, the interest rates were relatively low, which meant that subprime borrowers who usually attract high-interest rates were approved for mortgages. The demand for housing grew exponentially as borrowers with good and poor credit history alike tool mortgages. The price for houses continued to rise, prompting the Fed to raise the interest rate to contain inflation.
Between 2205 and 2006, house prices collapsed suddenly. Interest rates were rising, but house prices were dropping. Many homeowners were unable to repay their mortgages. The interest and principle there are paying were very high compared to the market value for the homes. There were massive layoffs by subprime mortgage lenders, while others closed down or applied for bankruptcy. The decline in prices implied that the mortgage value was high compared to the market price for houses.
When the overall market experiences a decline of 8%, an investor with a portfolio of defensive stocks will probably experience:
Answer:
losses greater than 8%
Explanation:
In a situation Where all the market experiences a reduction of 8% it means that investors that has a portfolio of defensive stocks will likely experience losses that are greater than 8% reason been that DEFENSIVE STOCK give continuous dividend.
Secondly DEFENSIVE STOCK earning are constant because they don't fluctuate despite the state of stock market.
Brief Exercise 229 Iverson Company purchased a delivery truck for $45,000 on January 1, 2020. The truck was assigned an estimated useful life of 5 years and has a residual value of $10,000. Compute depreciation expense using the double-declining-balance method for the years 2020 and 2021.
Answer:
the depreciation expense using the double-declining-balance method for the years 2020 and 2021 is $18,000 and $10,800 respectively
Explanation:
The computation of the depreciation expense using the double declining method for the year 2020 and 2021 is as follows:
For 2020
= (Cost) × depreciation rate
= $45,000 × 1 ÷ 5 × 2
= $18,000
For 2021
= ($45,000 - $18,000) × 0.40
= $10,800
hence, the depreciation expense using the double-declining-balance method for the years 2020 and 2021 is $18,000 and $10,800 respectively
ABC Company on Jan 1, 2021 purchased a delivery van for $24,000. To complete the purchase, the company also incurred a $800 shipping cost and $1,200 sales tax. The company estimates that at the end of its four-year service life, the van will be worth $4,000. During the four-year period, the company expects to drive the van 100,000 miles. Actual miles driven each year were 20,000 miles in year 1; 25,000 miles in year 2; 44,000 miles in year 3; and 55,000 miles in year 4. Required: Using Straight-line depreciation method, what is the annual depreciation expense
Answer:
the yearly depreciation expense is $5,500
Explanation:
The computation of the yearly depreciation expense using the straight line method is as follows;
= (Purchase cost - salvage value) ÷ (estimated useful life)
= ($24,000 + $800 + $1,200 - $4,000) ÷ (4 years)
= ($26,000 - $4,000) ÷ (4 years)
= $22,000 ÷ 4 years
= $5,500
hence, the yearly depreciation expense is $5,500
GSX stock is selling for $32.40 a share. A 4-month call on GSX stock with a strike price of $35 is priced at $.55. Risk-free assets are currently returning .3 percent per month. What is the price of a 4-month put on GSX stock with a strike price of $35
Answer:
$3.03
Explanation:
Calculation for What is the price of a 4-month put on GSX stock with a strike price of $35
Based on the information given we would be using put-call parity formula
S + P = C + PV(E) P
Let plug in the formula
Price=$0.55 + ($35 / 1.0034) - $32.40
Price=$0.55 + $34.88 - $32.40
Price = $3.03
Therefore the price of a 4-month put on GSX stock with a strike price of $35 will be $3.03
What is an added value???
Explanation:
The difference between the price of the finished product/service and the cost of the input involved in making it is known as an added value
The difference between the price of the finished product/service and the cost of the input involved in making it is known as an added value
On September 1, 2019, Parker, Inc. made a loan to one of its customers. The customer signed an 8-month note for $105,000 at 14%. Calculate the maturity value of the note. (Round any intermediate calculations to two decimal places, and your final answer to the nearest dollar.)
Answer:Maturity value =$115,000
Explanation:
Maturity value is the amount that includes the principal and accrued interest that a borrower should pay on its maturity date.
Maturity value of note = Principal + interest accrued
Interest = Principal x rate x time
=$105,000 x 14% X 8/12
=$9,800
Maturity value = $105,000 + 9,800
=$114,800
rounding up to the nearest dollar≈$115,000
Company A accounts for its investment in Company B under the equity method. Company A carried the Company B investment at $150,000 and $165,000 at December 31, 2020, and December 31, 2021, respectively. During 2021 Company B recognized $80,000 of net income and paid dividends of $30,000. Assuming that Company A owned the same percentage of Company B throughout 2021, its percentage ownership must have been:
Answer:
30%
Explanation:
Calculation for its percentage ownership
Percentage of ownership=($80,000 - $30,000)/$165,000
Percentage of ownership=$50,000/$165,000
Percentage of ownership = 30%
Therefore Assuming that Company A owned the same percentage of Company B throughout 2021, its percentage ownership must have been:30%
Long Life Floors is expected to pay an annual dividend of $7 a share and plans on increasing future dividends by 2 percent annually. The discount rate is 15 percent. What will the value of this stock be 5 years from today
Answer: $60.62
Explanation:
Using the Gordon Growth model;
Value = Next dividend / (Required return - growth rate)
Next dividend in 5th year will be dividend in 6th year;
= 7 * (1 + 2%)⁶
= $7.88
Value₅ = 7.88 / (15% - 2%)
= $60.62
Hardwoods, a timber supplying company, contracted with a furniture manufacturer, Taylor Furniture. Hardwoods owned a large plot of land where it grew oak and beech trees. Taylor had contracted with Hardwoods to buy one ton of each type of lumber grown by Hardwoods each month at a discounted price for the next five years. However, during the second year of the contract, and tornado Hardwoods farmland, and demolished its entire supply of wood. Taylor having no other supplier sued Hardwoods for breach of contract. Hardwoods argued that their contract had been legally discharged as soon as the tornado struck because at that point it was impossible for Hardwoods to supply lumber to Taylor. The court ruled in favor of Hardwoods. But what if the facts of the case were different
Answer:
the options are missing, so I looked for a similar question:
Instead of a tornado’s striking Hardwoods’ land, the state in which Hardwoods operates passes a law making it illegal for any lumber companies to cut down trees for the purposes of selling their wood. This environmental measure causes Hardwoods to go out of business. Instead of demanding Oak and Beech wood grown specifically on Hardwoods’ land, Taylor requests shipments of Oak and Beech wood from Hardwoods, and specifies in the contract that if Hardwoods cannot supply the wood, then Hardwoods should obtain the requested wood from another lumber supplier. Instead of a tornado’s striking Hardwoods’ tree farm, a wildfire burns all of Hardwoods’ trees. After the tornado, Hardwoods and Taylor Furniture agree to a novation, whereby a competing company, Oakempire, assumes the duties of Hardwoods stated in the original contract.
The answers are:
2. Instead of demanding Oak and Beech wood grown specifically on Hardwoods’ land, Taylor requests shipments of Oak and Beech wood from Hardwoods, and specifies in the contract that if Hardwoods cannot supply the wood, then Hardwoods should obtain the requested wood from another lumber supplier.
4. After the tornado, Hardwoods and Taylor Furniture agree to a novation, whereby a competing company, Oakempire, assumes the duties of Hardwoods stated in the original contract.
Explanation:
In common law, a tornado or any other type of natural disaster is considered an Act of God. A company cannot be held liable for such events, and if a contract is breached because of it, there is no legal responsibility (option 3 is another type of Act of God)
Also, if the law or existing regulation changes, and that change makes it impossible for a party to fulfill their obligations, they are not liable for breaching the contract (option 1).
you are a euro-based portfolio manager and you have invested in the technology sector of the U.S. stock market. You want to keep your exposure to tech stocks but are worried about an impending financial crisis in the United States. What is the best way to manage your dollar currency risk
Answer: You enter into Euro/USD forward contract.
Explanation:
Based on the information given in the question, the best way to manage the dollar currency risk is to enter into Euro/USD forward contract.
A forward contract is a contract between two parties whereby an asset is being bought it sold at a particular price in the future. It should be noted that forward contract is good for speculations.
10. Parmentier Company uses the weighted-average method in its process costing system. The Molding Department is the second department in its production process. The data below summarize the department's operations in January. The accounting records indicate that the conversion cost that had been assigned to beginning work in process inventory was $5,096 and a total of $87,668 in conversion costs were incurred in the department during January. What was the cost per equivalent unit for conversion costs for January in the Molding Department
Answer:
$1.752 per unit
Explanation:
The computation of the cost per equivalent unit for conversion cost is as follows:
Total conversion cost for month of January
= Opening wip conversion cost + current production conversion cost
= $5,096 + $87,668
= 92,764
Now the total equivalent units is
= Units transferred out + ending wip
= 51,300 × 100% + 5,500 × 30%
= 52,950 units
Now the cost per equivalent unit is
= $92,764 ÷ 52,950 units
= $1.752 per unit
Your portfolio is 310 shares of Callahan, Inc. The stock currently sells for $101 per share. The company has announced a dividend of $3.20 per share with an ex-dividend date of April 19. Assuming no taxes, what is your portfolio value as of April 19?
Answer: $30,318
Explanation:
On the day the dividend is announced, the price of the stock usually goes down by the amount of dividend announced.
Price on April 19 = 101 - 3.20 = $97.80
Portfolio value = 97.80 * 310 shares
= $30,318
are considering buying a new flat TV that costs today at $4,000. The bank has offered you a loan to buy it. The loan is a 2-year loan for which you will make bi-monthly payments (at the end of every two months). The APR for the loan is 24%. How much is the bi-monthly payment?
Answer:
don't know because I can't understand the language of question
What is a 3-month overnight indexed swap (OIS)?
A cyclically adjusted budget balance: a. is an estimate of what the budget balance would be if real GDP were equal to potential output. b. is the same as the national debt, and it rises as interest cost is accrued. c. shows what the budget balance would be with a significant amount of cyclical unemployment. d. is a good indicator of the depreciation of the capital stock.
Answer:
a. is an estimate of what the budget balance would be if real GDP were equal to potential output.
Explanation:
A cyclically adjusted budget balance is an estimate of what the budget balance would be if real GDP were equal to potential output. A cyclical adjustment budget balance measures the stance of fiscal policy, as it removes the endogenous components of spending and revenues and its also estimate the budget balance if the economy is in the long run equilibrium.
Assume the following: The standard labor rate is $8.50 per hour. The standard quantity of labor allowed per unit is 4 hours. The company paid $342,000 for 38,000 hours of labor. The company actually produced 10,000 units of finished goods during the period. What is the labor efficiency variance
Answer: 17000F
Explanation:
The labor efficiency variance based on the information provided in the question would be calculated as:
= (Standard hours - Actual hours) × Standard rate
= (40000 - 38000) × 8.50
= 2000 × 8.50
= 17000 favourable
Note;
Standard hours = 10000 × 4 hours = 40,000 hours
Perch Co. acquired 80% of the common stock of Float Corp. for $1,600,000.The fair value of Float Is net assets was $1,850,000, and the book value was $1,500,000.The non controlling interest shares of Float Corp. are not actively traded. What is the total amount of goodwill recognized at the date of acquisition
Answer:
150,000
Explanation:
Answer:
$150,000
Explanation:
Calculation for the total amount of goodwill recognized at the date of acquisition
First step is to calculate the Cost(PP)
Cost(PP) =$1,600,000/.8
Cost(PP)= $2,000,000
Second step is to calculate the goodwill
to be recognized
Goodwill=$2,000,000- $1,850,000
Goodwill= 150,000
Therefore the total amount of goodwill recognized at the date of acquisition is $150,000
What is the modified duration of a four-year bond with annual 10% coupons and a 10% yield to maturity?
Answer:
the formula to calculate modified duration of bonds:
modified duration = [1 - (1 + y)⁻ⁿ] / y
modified duration = [1 - (1 + 10%)⁻⁴] / 10% = 0.317 / 10% = 3.17 years
if you want to determine the Macaulay duration = modified duration x (1 + yield) = 3.17 years x 1.1 = 3.49 years
The modified duration shows how a bond's value can change as a result of a change in the interest rate.
Allowance for Doubtful Accounts has a credit balance of $463 at the end of the year (before adjustment), and bad debt expense is
estimated at 2% of sales. If credit sales are $552,500, the amount of the adjusting entry to record the estimated uncollectible accounts
receivable is
a. $11,050
b. $10,587
c. $11,513
d. $463
Answer:
I really need help can you guys please go to my page and answer them!:)
Explanation:
is global economic resistance good or bad? why?
Answer:
The global economy can be a little frustrating because globalization and the global economy are terms that mean different things to different people. I have found that some people talk about the global economy and what they mean is the opening of markets and trade among nations—so that today you can buy products in a store that have been made everywhere around the world, and people everywhere around the world are buying products that we make.
That didn’t used to be the case, partly because transportation and communication technologies were inadequate and partly because there were a lot more political barriers and even wars going on that prevented people from trading with each other. But in the twentieth century—especially in the late twentieth century—there’s been a large-scale dismantling of political barriers to trade combined with a dramatic increase in communication and transportation technology that has opened up a new global market.
Bramble Corp. reported net income of $87800 for the year ended December 31, 2021. Included in net income were depreciation expense of $16500 and a gain on sale of equipment of $3600. The equipment had an historical cost of $80500 and accumulated depreciation of $48400. Each of the following accounts increased during 2021: Land $10900 Prepaid rent $14000 Available-for-sale securities $2000 Bonds payable $9500 What is the amount of cash provided by or used by investing activities for Bramble Corp. for the year ended December 31, 2021?
Answer:
net cash provided by investing activities $22,800
Explanation:
the carrying value of the equipment = $80,500 - $48,400 = $32,100
the sales price of the equipment was $32,100 + $3,600 (gain on sale) = $35,700
land was purchased for $10,900
available for sale securities were purchased fro $2,000
total cash flows from investing activities = $35,700 (cash proceeds from sales of equipment) - $10,900 (land purchased) - $2,000 (AFS securities purchased) = $22,800
new cars are normal goods. What will happen to the equilibrium price of new cars if the price of gasoline falls and auto-workers receieve lower wages
Answer:
Going by the logic that, new cars are normal goods, it is safe to assume that, the price of those cars would fall if it were to be that the price of gasoline falls and as well as the auto-workers receive lower wages.
This is because, the relation between the two factors are directly proportional to each other. For example, if the auto-workers wage were $100 per 100 and it was subsequently reduced to $40 per hour, the overhead cost would drastically be reduced.
Explanation:
If you purchase 100 shares of XYZ Corporation for $50 per share, receive a dividend check for $200, and then sell the stock for $62 per share, what will your return on the stock be
Answer:
Your return on the stock will be 28%.
Explanation:
Po = Initial price per share = $50
P1 = New price per share = $62
S = Number shares purchased = 100
D = Dividend per share = Dividend received / Number shares purchased = $200 / 100 = $2
Therefore, we have:
Stock return = ((P1 - Po) + D) / Po = (($62 - $50) + $2) / $50 = ($12 + $2) / $50 = $14 / $50 = 0.28, or 28%
Therefore, your return on the stock will be 28%.
please help me answer this...
cba corp is worth 15 million as a standalone firm. abc corp has offered 350000 shares valued at 50 each to acquire cba. after the annoucmen, however, the price of abc shares falls to 45. what is the cost of the merger
Answer:
$.75 million
Explanation:
Calculation for what is the cost of the merger
Cost of merger= $350,000 ×$45 - ($15 million)
Cost of merger= $15.75 - $15 million
Cost of merger= $.75 million
Therefore the cost of the merger will be $.75 million
Materials used by Jefferson Company in producing Division C's product are currently purchased from outside suppliers at a cost of $10 per unit. However, the same materials are available from Division A. Division A has unused capacity and can produce the materials needed by Division C at a variable cost of $7.50 per unit. A transfer price of $8.50 per unit is negotiated and 30,000 units of material are transferred from Division A to Division C, with no reduction in Division A's current sales. How much would Jefferson's total income from operations increase
Answer:
$75,000
Explanation:
Since both divisions are part of Jefferson Company, intercompany sales cannot yield a profit once the balance sheet is consolidated. In this case, Jefferson Company is saving $10 - $7.50 = $2.50 per unit and since it needed 30,000 units, it saved a total of $2.50 x 30,000 = $75,000. Whenever you save money, your profits will increase by the same amount.
______ occurs when an employee or an applicant is treated unfairly at work or in the job hiring process due to an identity group, condition, or personal characteristic.
Answer:
Workplace discrimination.
Explanation:
Workplace discrimination is an extremely negative situation that occurs due to certain characteristics of an individual. It may occur because the individual belongs to different ethnic groups, depending on nationality, color, religion, etc.
This situation is harmful to the organization as a whole, the discriminated individual is the one who suffers the most for having their equality rights violated and for feeling coerced and disrespected in a work environment that should be supported by criteria of equality, ethics and collaboration .
It is necessary for companies to be aware of possible loopholes in their policies that may corroborate with such illegal acts, revising them whenever necessary and strengthening the values of respect for personal individualities and equality among employees.