Answer:
422 units
Explanation:
The computation of the equivalent unit of production is as follows
No. of Units Percent Complete Equivalent units
(A) (B) (A × B)
270 80 216 units
220 60 132 units
370 20 74 units
Total
Equivalent units 422 units
"Assume a bond with $1,000 par value and has an 7 percent coupon rate that pays interest annually, three years remaining to maturity, and a 9 percent yield to maturity. The duration of this bond is___________
"Assume a bond with $1,000 par value and has an 7 percent coupon rate that pays interest annually, three years remaining to maturity, and a 9 percent yield to maturity. The duration of this bond is Effective Bond Duration.
Explanation:
"Assume a bond with $1,000 par value and has an 7 percent coupon rate that pays interest annu the duration of a bond or a bond fundally, three years remaining to maturity, and a 9 percent yield to maturity". The duration of this bond is Effective Bond Duration.The bond issuer borrows capital from the bondholder and makes the fixed payments to bondholder at a fixed or a a variable interest rate.Bond Duration is an approximate measure of a bond's price and sensitivity to the changes in interest rates.Normally, the higher the duration of a bond or a bond fund,the more its price will drop as when the interest rates rise..This measure of duration takes into consideration for the fact that expected cash flows will fluctuate as the interest rates changes.
The duration of the bond can be calculated using the formula Duration = (1 + Yield to Maturity) / Coupon Rate, which results in 2 years for the given bond with a 7% coupon rate, 3 years to maturity, and a 9% yield to maturity.
The **duration** of a bond measures its sensitivity to interest rate changes. For a bond with a 7% coupon rate, 3 years to maturity, and a 9% yield to maturity, we can calculate the duration using the formula:
Duration = (1 + Yield to Maturity) / Coupon Rate
Plugging in the values:
Yield to Maturity = 9% (0.09)
Coupon rate = 7% (0.07)
Duration = (1 + 0.09) / 0.07 = 2 years
_____ includes managing the movement of raw materials and parts from their sources to production sites, managing the movement of materials, semi-finished, and finished products within and among plants, warehouses, and distribution centers, as well as the planning and coordinating of the physical distribution of finished goods to intermediaries and final buyers.
Answer:
Logistics
Explanation:
Logistics refers to the total process of conducting the way in which resources are acquired, stored, and transported to their final destination. Logistics management involves locating potential distributors and suppliers and determining their effectiveness and accessibility.
The main aim of logistics management is to acquire the proper amount of a resource or input at the right time, getting it to the appropriate location in good condition, and delivering it to the right customer.
Answer:
Available options are
a. Intermodal transportation
b. Contract logistics
c. Logistics
d. Materials handling
Answer is C. Logistics
Explanation:
LOGISTICS is the flow of goods or services that involve between point A to B in terms of transport and storage, and when the same process is done from Point B to Point A is called REVERSE LOGISTICS.
Logistics generally deals with the transportation of goods of any type from one location to the other.
On February 1, 2020, Blue Corporation issued 3,400 shares of its $5 par value common stock for land worth $26,700.Prepare the February 1, 2020, journal entry.
Answer:
Dr. Cr.
February 1, 2020
Cash $26,700
Bond Premium $9,700
Bond Payable $17,000
Explanation:
Any amount paid / received over the face value of the bond is called premium of bond. It is due to that the stated interest rate of bond is higher than the market rate.
Face value of bond = 3,400 x $5 = $17,000
Premium on bond = $26,700 - $17,000 = $9,700
Cash received will be debited to cash account. Bond payable is a liabilities. Bond premium is also a liability account which will amortize over the bond life and reduce the interest payable amount of each period.
What is the journal entry required to recognize a deferred tax asset of $50,000? Dr. Deferred Tax Asset $50,000, Cr. Income Tax Benefit $50,000 Dr. Deferred Tax Asset $50,000, Cr. Equity $50,000 Dr. Income Tax Expense $50,000, Cr. Deferred Tax Asset $50,000 Dr. Deferred Tax Asset $50,000, Cr. Deferred Tax Liability $50,000
Answer:
Dr. Deferred Tax Asset $50,000, Cr. Income Tax Benefit $50,000
Explanation:
A deferred tax asset is an asset created as a result of overpayment or advance payment of taxes. It is the opposite of a deferred tax liability, which represents income taxes owed that will be settled in the future. Deferred tax assets and liabilities usually result from the differences between the accounting and tax systems of recognition of transactions. One of such is depreciation.
When a deferred tax asset is to be recognized,
Debit Deferred Tax Asset
Credit Income Tax Benefit
Recall, deferred tax asset is an advance payment of income tax.
The correct journal entry to recognize a deferred tax asset of $50,000 is a debit to Deferred Tax Asset and a credit to Income Tax Benefit, both for the amount of $50,000.
The journal entry required to recognize a deferred tax asset of $50,000 is: Dr. Deferred Tax Asset $50,000, Cr. Income Tax Benefit $50,000. This entry reflects the recognition of a temporary difference that will result in deductible amounts in future years, giving rise to a deferred tax asset on the balance sheet. The credit to Income Tax Benefit represents the expected reduction in future income tax payments attributed to the deferred tax asset.
Butcher Company plans to issue bonds to raise $10 million to finance expansion. It could use 10-year mortgage bonds backed by the firm's fixed assets, 10-year debentures that are not backed by any specific assets but are backed by the firm's general earning power, or 10-year subordinated debentures that would be subordinated to all of the firm's other debt. If it uses mortgage bonds, they would be rated A by Moody's and S&P, and their market interest rate would be 7.5%. Given this information, which of the following statements is most correct? (A) The subordinated debentures would be rated highest, probably AA. (B) Given the 7.5% interest rate on the mortgage bonds, the subordinated debentures might carry an interest rate of 8.0% and the plain debentures a rate of 8.5%.(C) Since bond ratings are highly subjective, information about the rating and interest rate on the A-rated bond tells us nothing about how the two types of debentures would be rated, or about their likely interest rates.(D) The debentures would be rated highest, probably AA.(E) Given the 7.5% interest rate on the mortgage bonds, the plain debentures might carry an interest rate of 8.0% and the subordinated debentures a rate of 8.5%.
Answer:
(E) Given the 7.5% interest rate on the mortgage bonds, the plain debentures might carry an interest rate of 8.0% and the subordinated debentures a rate of 8.5%.
Explanation:
In the problem shown above, the company wants to create a financial expansion by issuing bonds. The company has three different options to use for the bond issuing and plans to select the best options by considering different variables. Based on the available options, if the mortgage bond has an interest rate of 7.5%, there will be an approximately 8% interest rate on the plain debentures and 8.5 interest rate on the subordinated debentures.
Sicora Inc. reported installment sales totaling $670,000 in its income statement for Year 1, its first year of operations. Sicora is not required to report installment sales income on its tax return until the cash is collected. Sicora will make the collections on these installment sales as follows: Year 1 $ 70,000 Year 2 130,000 Year 3 140,000 Year 4 160,000 Year 5 170,000 Total $ 670,000 The enacted tax rate is 30% in each of these years. What is the ending balance in the deferred tax liability account related to these installment sales at the end of Year 1?
The ending balance in the deferred tax liability account related to installment sales for Sicora Inc. at the end of Year 1 is $180,000, calculated by applying the 30% tax rate to the deferred income amount of $600,000.
Explanation:To calculate the ending balance in the deferred tax liability account for Sicora Inc. at the end of Year 1, we first identify the total installment sales which are not recognized for tax purposes in Year 1 because Sicora only recognizes income on cash received. The total installment sales are $670,000, but only $70,000 of that is collected in Year 1. Therefore, the deferred income on which taxes have not been paid is $670,000 - $70,000 = $600,000.
The deferred tax liability for Year 1 is then calculated based on the tax rate of 30% applied to the $600,000 of income that is deferred, which gives us a total deferred tax liability of $600,000 * 30% = $180,000.
This calculation is critical for understanding how installment sales and tax treatments influence a company's financial reporting and tax liability. Recognizing the deferred tax helps in aligning the tax expenses with the actual cash flow from sales, providing a more accurate financial position of the company.
Prepare the adjusting journal entries for the following transactions. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)Supplies for office use were purchased during the year for $800, of which $250 remained on hand (unused) at year-end. Interest of $400 on a note receivable was earned at year-end, although collection of the interest is not due until the following year. At year-end, salaries and wages payable of $5,100 had not been recorded or paid. At year-end, one-half of a $3,500 advertising project had been completed for a client, but nothing had been billed or collected. Redeemed a gift card for $750 of services.
Answer:
The Adjusting entries will be as followed;
Explanation:
1)Supplies Expense Dr.800
Cash/Bank Cr.800
No entry for supplies in hand as they are not inventory
2) Interest receivable Dr.400
Interest Income Cr. 400
3) Salaries Expense Dr.5,100
Salaries Payable Cr. 5,100
4) Advertising Income Receivable (3500/2) Dr.1,750
Advertising Income Cr. 1,750
5) Gift Received Dr.750
Gift Income Cr. 750
In our above scenario, it is assumed that company follows accrual basis of accounting. Therefore all entries made reflect the concept of accrual accounting rather than cash accounting
Chris Anderson is interested in purchasing the common stock of Wildhorse, Inc., which is currently priced at $37.30. The company is expected to pay a dividend of $2.58 next year and to increase its dividend at a constant rate of 6.95 percent
(a) What should the market value of the stock be if the required rate of return is 14 percent? (Round answer to 2 decimal places e-g. 15.20.) $ Market value of stock
Answer:
The market value of the stock is $36.60
Explanation:
The formula relevant to computing the market value of the stock is given as
Price=Dividend/(return rate-growth rate)
Dividend=$2.58
return rate =14%
growth rate =6.95%
Price=$2.58/(14%-6.95%)=36.59574468
Approximately $36.60
The market price forecast is based on the dividend yield and gains yield attributable to the stock in the future.
Besides, a stock that promises higher dividend yield and gains yield would priced higher by investors owing to its high returns capacity while the reverse is the case for a stock with lower returns.
No wonder the stocks of companies like Apple is highly priced,even from their first day of listing on the stock exchange.
Vivi Corporation had net income of $401,000 in 2015. The company's Common Stock account balance all year long was $267,000 ($10 par stock). The company does not hold any Treasury Stock. The market price per share as of December 31, 2015, was $33.50. Calculate the price-earnings ratio for 2015.
Answer:
Explanation:
Earning per share = Net income/ Total Stock
Earning per share = 401000/26700
Earning per share = 15.019
Price earning = price per share/EPS
Price earning = 33.5/15.019
Price earning = 2.23
Your friend's portfolio manager has suggested two high-yielding stocks: Consolidated Edison (ED) and Royal Bank of Scotland (RBS-K). ED shares cost $40, yield 5.5% in dividends, and have a risk index of 1.0 per share. RBS-K shares cost $25, yield 7.5% in dividends, and have a risk index of 1.5 per share. You have up to $24,000 to invest and would like to earn at least $1,320 in dividends. How many shares (to the nearest whole number) of each stock should you purchase in order to meet your requirements and minimize the total risk index for your portfolio
Answer:
600 shares of ED will fullfill the requirements.
Explanation:
We have to look which share does a bnetter yield considering the risk
[tex]\left[\begin{array}{ccc}&ED&RBS-K\\Share Price&40&25\\Yield&0.055&0.075\\Dividend&2.2&1.875\\Dividend / Risk&2.2&1.25&\\\end{array}\right][/tex]
as the ED is superior the thus we use all our budget on it and will only replace it if we do not meet the minimum requirement:
24,000 / 40 shares = 600 shares
return of ED at 600 shares
600 x 40 each x 0.055 = 1,320
As this amount is exactly our bare minimum we can only purchase ED shares.
To reach the desired dividends with the least risk, the investor would be advisable to invest in both Consolidated Edison (ED) and Royal Bank of Scotland (RBS-K). If the investor splits their money equally between the two stocks, they can achieve the desired dividend target and minimize their total risk index.
Explanation:The problem is essentially an investment optimization problem that can be addressed through a mathematical approach. In order to meet the objective of maximizing dividend income and minimizing risk it would be prudent to invest in both stocks.
Firstly, we must figure out how many dividends each share will yield. The formula for calculating dividends is share price * yield. Hence, for CD shares, it would be $40 * 5.5/100 = $2.2 per share. For RBS-K, it would be $25 * 7.5/100 = $1.88.
The goal, as the problem states, is to earn at least $1,320 in dividends. Hence, you would want to purchase as many shares that would yield the highest dividends. In this case, although RBS-K's risk index is higher, it yields higher dividends. It might be logical to divide your money equally between the two stocks, and adjust accordingly.
For example, if the investor split their money equally between both stocks, they would have $12,000 for each stock. This would enable them to purchase 300 shares of ED (yielding $660 in dividends) and 480 of RBS-K (yielding $902.4), thereby reaching the dividend objective with a combined risk index of $1020.
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The basic activities that comprise marketing include the following: A. Financial ratio analysis B. Marketing research and target market analysis C. Cost/benefit analysis D. Benchmarking E. Pricing, distribution, and human resource management (HRM)
Answer:
The correct answer is B,C,D,E
Explanation:
The basic activities of marketing consists of the following;
Marketing research and target market analysis, cost/benefit analysis, benchmarking - a process of measuring a business's performance and standard against competitors and rivals and thus conducive to winning in the marketplace, and Pricing, distribution, and human resource management (HRM).
Customer analysis, selling products and services, and product and service planning are also basic activities of marketing.
At 6 percent interest, how long does it take to double your money? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Length of time years At 6 percent interest, how long does it take to quadruple your money? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Length of time years
Answer:
1. 11.90
2. 23.79
Explanation:
How Long Does It Take To Double Your Money?
A=P(1+r/100)^n
where
A=future value($2x say)
P=present value($x say)
r=rate of interest
n=time period.
SOLUTION
A=P(1+r/100)^n
2x=x(1+6/100)^n
Divide both side by x
2=(1+6/100)^n
2=(1.06)^n
Taking log on both sides;
log 2=n*log 1.06
Making n subject of the formular
n=log 2/log 1.06
=11.90 years(Approx).
How Long Does It Take To Quadruple Your Money?
We use the same formula:
A=P(1+r/100)^n
where
A=future value($4x say)
P=present value($x say)
r=rate of interest
n=time period.
SOLUTION
A=P(1+r/100)^n
4x=x(1+6/100)^n
Divide both side by x
4=(1+6/100)^n
4=(1.06)^n
Taking log on both sides;
log 4=n*log 1.06
Making n subject of the formular
Hence n=log 4/log 1.06
=23.79 years(Approx).
In the first month of operations, the total of the debit entries to the Cash account amounted to $3540 and the total of the credit entries to the Cash account amounted to $2120. The Cash account has a balance of ________.
Answer:
$1,420
Explanation:
Cash account is normally a debit balance (as an asset) and debit entries represent a receipt of cash (an increase) while credit entries represent an outflow (a reduction) of cash.
The cash balance is as such the net between the debit balances and the credit entries posted.
The Cash account has a balance of
= $3540 - $2120
= $1,420
Gonzales Company has developed an integrated system that coordinates the flow of all goods, services, and information into and out of the organization, working with raw material vendors as well as customers to improve service and reduce costs. The firm is said to be using: a. supply chain management. b. management by objectives (MBO). c. top-down management. d. participative management. e. strategic cost management.
Answer: A
Supply chain management
Explanation:
Supply chain management is the deliberate control of the movement of goods and services in order to maximize product value, sustain competitive advantage and also reduce cost of production.
Effective supply chain systems help manufacturers reduce excessive inventory holding and this helps in reducing production cost. The main goal of a supply chain management is to better coordinate the inflow and outflow of raw materials, services or information in a firm.
Answer:
An integrated system that coordinates the flow of all goods, services, and information into and out of the organization, working with raw material vendors as well as customers to improve service and reduce costs developed by Gonzales Company is option A)Supply Chain Management
Explanation:
Supply chain management (SCM) is the active management of supply chain activities to maximize customer value and achieve a sustainable competitive advantage. It represents a conscious effort by the supply chain firms to develop and run supply chains in the most effective & efficient ways possible
Supply chain management enables enterprises to source the materials necessary to create a product or service and deliver that product or service to customers.
There are supply chain management software that functions as an integrated system to help make supply chain activities efficient and cost effective.
SCM software is to improve supply chain performance. Timely and accurate supply chain information allows manufacturers to make and ship only as much product as can be sold.
Effective supply chain systems help both manufacturers and retailers reduce excess inventory. This decreases the cost of producing, shipping, insuring, and storing product that cannot be sold.
Which of the following arguments are inductive, and which are deductive? Just answer "inductive" or "deductive".
1. The gardener said that she never saw the burglar’s face. She says she was in the house making tea, and that the burglar was in the shed. But the only footprints by the shed were hers. No other explanations could be found. So the reason she didn’t see the burglar is that she is the burglar.
Inductive or deductive? _______________
2. If we think of reasons to go to class, we can list that we want good grades, and that we have paid a lot of money for tuition, books, child care, etc. If we think of reasons not to go to class, we can think of how Frisbee golf would be a nice way to spend an afternoon and how there is a big sale in New Market. Yeah, all things considered, better go to class.
Inductive or deductive? _______________
3. The very definition of water is that it is a chemical substance with the structure H2O. This glass is filled with water. So this glass is filled with H2O.
Inductive or deductive? _______________
Answer:
Deductive, inductive, inductive
Explanation:
1.The gardener said that she never saw the burglar’s face. She says she was in the house making tea, and that the burglar was in the shed. But the only footprints by the shed were hers. No other explanations could be found. So the reason she didn’t see the burglar is that she is the burglar.
Inductive or deductive? Deductive.
2. If we think of reasons to go to class, we can list that we want good grades, and that we have paid a lot of money for tuition, books, child care, etc. If we think of reasons not to go to class, we can think of how Frisbee golf would be a nice way to spend an afternoon and how there is a big sale in New Market. Yeah, all things considered, better go to class.
Inductive or deductive? Inductive
3. The very definition of water is that it is a chemical substance with the structure H2O. This glass is filled with water. So this glass is filled with H2O.
Inductive or deductive? Inductive
Create the amortization schedule for a loan of $10,500, paid monthly over three years using an APR of 8 percent. Enter the data for the first three months. (Round your answers to 2 decimal places.)
Answer: Going by the calculation to generate the amount that will be paid for the three months are as follows -
The amount to be paid in the three months are as follows 1. $7980 2.$5430 3.$2910
Explanation: loan amount = N10,500, APR=8%, NO of years =3. therefore the calculation goes thus
10,500x 8x3/100= N2520.
Yr1 = 10,500-2520= $7980, Yr 2= 7980-2520= $5430, Yr3 5430-2520=$2910
Final answer:
An amortization schedule for a $10,500 loan with an 8% APR to be paid over 3 years involves calculating the monthly payment and splitting it between interest and principal. The monthly payment is calculated approximately as $329.16. For the first three months, payments are allocated towards both interest and reducing the principal, with the remaining balance decreasing each month.
Explanation:
Creating an amortization schedule entails calculating the monthly payment that will be made and how it will be divided between interest and principal repayment over the life of a loan. The given information is a loan amount of $10,500 with an annual percentage rate (APR) of 8%, to be repaid monthly over three years. To begin, we need to calculate the monthly interest rate, which is the APR divided by 12 months. In this case, it is 8% / 12 = 0.6667% per month.
Next, we use the formula for the monthly payment: P = [Pv*R*(1+R)^n] / [(1+R)^n - 1], where P is the monthly payment; Pv is the present value of the loan; R is the monthly interest rate as a decimal; and n is the total number of payments.
For our loan: P = [$10,500*0.006667*(1+0.006667)^36] / [(1+0.006667)^36 - 1]. Calculating this gives us a monthly payment of approximately $329.16.
Now we can create the amortization schedule for the first three months. Here's how it looks like:
Month 1: Interest = $10,500 x 0.006667 = $70.00. Principal = $329.16 - $70.00 = $259.16. Remaining Balance = $10,500 - $259.16 = $10,240.84.
Month 2: Interest = $10,240.84 x 0.006667 = $68.27. Principal = $329.16 - $68.27 = $260.89. Remaining Balance = $10,240.84 - $260.89 = $9,979.95.
Month 3: Interest = $9,979.95 x 0.006667 = $66.53. Principal = $329.16 - $66.53 = $262.63. Remaining Balance = $9,979.95 - $262.63 = $9,717.32.
These values are rounded to two decimal places as requested.
has sales of $15 million, total assets of $9 million, and total debt of $3.7 million. If the profit margin is 7 percent what is net income? What is ROE? What is ROA?
Answer:
Net Income = $ 1.05 million; you can calculate the amount using the profit margin which will be the 7% from the sales.
ROE = 19.8%, the formula is Net Income/Owners Equity. To obtain the amount for Owners Equity you can use the information provided using the Assets and the Total Debt, the difference will be the amount for Owners Equity $ 5.3million.
ROA = 11.7% , the formula is Net Income/Assets.
Recent financial statements of General Mills, Inc. report net sales of $12,442,000,000. Accounts receivable are $912,000,000 at the beginning of the year and $953,000,000 at the end of the year. Compute General Mills' accounts receivable turnover. (Round answer to 2 decimal places, e.g. 15.25.) Accounts receivable turnover times LINK TO TEXT Compute General Mills' average collection period for accounts receivable in days. (Round answer to 2 decimal places, e.g 15.25.)
Answer:
General Mills' accounts receivable turnover: 13.34 times
General Mills' average collection period for accounts receivable in days: 27.36 days
Explanation:
The accounts receivable turnover is an efficiency ratio that measures how many times a company can collect its receivables or money owed by clients during the year.
Accounts receivable turnover is calculated by following formula:
Accounts Receivable Turnover = Net Credit Sales /Average Accounts Receivable
In there:
Average Accounts Receivable = (The beginning accounts receivable of the year balance + The ending accounts receivable of the year balance)/2
In General Mills, Inc.:
Average Accounts Receivable = ($912,000,000 + $953,000,000)/2 = $932,500,000
General Mills' accounts receivable turnover = $12,442,000,000/$932,500,000 = 13.34 times
General Mills' average collection period for accounts receivable in days = 365/Accounts receivable turnover = 365/13.34 = 27.36 days
To compute General Mills' accounts receivable turnover, we divide their net sales by the average accounts receivable. This gives us a value of 13.34. The average collection period for accounts receivable can be calculated by dividing 365 days by the accounts receivable turnover, resulting in an average collection period of 27.38 days.
Explanation:To compute General Mills' accounts receivable turnover, we use the formula:
Accounts Receivable Turnover = Net Sales / Average Accounts Receivable
Substituting the given values, we have:
Accounts Receivable Turnover = $12,442,000,000 / ((912,000,000 + 953,000,000) / 2)
Calculating the average accounts receivable, we find:
Accounts Receivable Turnover = $12,442,000,000 / 932,500,000 = 13.34 (rounded to 2 decimal places)
To calculate General Mills' average collection period for accounts receivable, we use the formula:
Average Collection Period = 365 days / Accounts Receivable Turnover
Substituting the found value, we have:
Average Collection Period = 365 / 13.34 = 27.38 (rounded to 2 decimal places)
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Suppose that a lumberyard has a supply of 10-ft boards, which are cut into 3-ft, 4-ft, and 5-ft boards according to customer demand. The 10-ft boards can be cut into several sensible patterns. each in such a way that there the leftover material is less than 3-ft. The lumberyard just received an order for 90 3-ft boards, 60 4-ft boards. and 60 5-ft boards. a. Determine all sensible patterns the lumberyard may use to cut the 10-ft boards.b. The lumberyard would like to use as few 10-ft boards as possible in meeting the demand. Write out a mathematical formulation for the problem as an integer linear program ILP), and setup/solve this problem using Microsoft Excel solver. What is the optimal number of each pattern, and what is the minimum number of boards to cut?
Answer :
Some answers are attached below
Explanation:
a) Based on the information provided, below are the all possible sensible patterns the lumberyard may use to cut the 10-ft boards -
Pattern Number 3-ft boards 4-ft boards 5-ft boards Waste (<3-ft)
1 3 0 0 1
2 2 1 0 0
3 1 0 1 2
4 0 1 1 1
5 0 2 0 2
6 0 0 2 0
b) ILP Formulation
Objective Function
Minimize Number of 10 ft-boards to be cut
Z = x1+x2+x3+x4+x5+x6 where xi is the number of boards for pattern i
subject to constraints -
3x1+2x2+x3>=90 ----> 3-ft boards
x2+x4+2x5>=60 ----->4-ft boards
x3+x4+2x6>=60 ----->5-ft boards
Xi>=0 ---->Non-negativity constraint
Below is the excel solver formulation and solution -
The optimal number of Pattern 1,5,6 =0, Pattern 2,3 and 4 = 30
The minimum number of 10 ft-boards to be cut = 90
Answer:
Explanation:
please find the answer in the attached
When shopping for detergent, Alexis looks at Tide, Fresh Start, Surf, and All and chooses the one that is on sale. These four brands make up her ____ set.
Answer:
The correct answer is letter "C": consideration.
Explanation:
A consideration set represents the pool of products of the same category from where consumers can decide what good to buy. After grouping those products, a comparison is made based on elemental features of the goods which will allow the customer to make a decision. Consumers tend to group products into consideration sets while buying staples.
A refinery produces both gasoline and fuel oil and sells gasoline for $1/gallon and fuel oil for $0.90/gallon. The refinery can produce at most 600,000 gallons a day, but must produce at least 2 gallons of fuel oil for every gallon of gasoline. At least 150,000 gallons of fuel oil must be produced each day to meet current demands. How much of each type of fuel should produce to maximize daily profits
Final answer:
To maximize daily profits, the refinery needs to determine the optimal amounts of gasoline and fuel oil to produce. The optimal values can be found by solving a system of constraints and a profit function.
Explanation:
To maximize daily profits, the refinery needs to determine the optimal amounts of gasoline and fuel oil to produce. Let's assume the refinery produces x gallons of gasoline and y gallons of fuel oil. The constraints for production are:
The refinery can produce at most 600,000 gallons a day, so x + y ≤ 600,000.The ratio of fuel oil to gasoline must be at least 2:1, so y ≥ 2x.At least 150,000 gallons of fuel oil must be produced, so y ≥ 150,000.The objective is to maximize profits. The profit function can be defined as P = 1x + 0.90y. By solving the system of constraints and the profit function, we can find the optimal values for x and y that maximize profits.
Sean is spending the day at the water park. He paid to enter the park and can use any water ride an unlimited number of times throughout the day. His favorite ride is the Twisty River.
a. Sean's marginal utility of riding the Twisty River the first time is 50 utils. Sean's marginal utility of riding the Twisty River the second time is likely
O greater than 50 utils.
O less than 50 utils.
O equal to 50 utils
b. If Sean's total utility begins to decrease after his fifth ride on the Twisty River, we can conclude
O Sean's marginal utility is starting to increase.
O Sean's marginal utility has become negative.
O Sean has maximized his marginal utility
c. Suppose instead of an entrance fee that Sean must pay each time he rides the Twisty River. Compared to the entrance fee, Sean will likely ride the Twisty River
O fewer times
O more times.
O the same number of times.
Final answer:
The student's question examines the economic concept of marginal utility. For Sean's second ride, the marginal utility would likely be less than 50 utils, it becomes negative after the fifth ride, and if Sean has to pay per ride, he'll likely ride less often.
Explanation:
The concept being questioned here involves understanding the economic principle of marginal utility, which is often discussed in the context of business or economics classes. When Sean rides the Twisty River the first time, he receives 50 utils of satisfaction. It is common in economics to assume that the marginal utility of a product or experience will generally decrease as a person consumes more of it, due to the law of diminishing marginal utility.
a. Therefore, the marginal utility of riding the Twisty River the second time is likely less than 50 utils, as each additional ride will tend to yield less satisfaction than the previous one.
b. If Sean's total utility begins to decrease after his fifth ride, it indicates that the marginal utility of the subsequent ride is negative; because total utility is the sum of marginal utilities, and the sum is decreasing, this means the marginal utility is less than zero.
c. When Sean has to pay for each ride individually instead of one entrance fee, it introduces a cost per ride, which will likely result in Sean riding the Twisty River fewer times due to the added cost each time.
$2,000/year. The average item for sale is $4. Average costs associated with each sale are $3. His second option is to use an existing e-commerce service. This incurs an additional monthly cost of $15/month. The site takes a cut of his sales of $0.25/item, so he is planning on also increasing his prices by $0.5/item. The remaining costs stay the same
Here is the full question.
Jonathan is considering opening a shop for an online baseball memorabilia .He has two options. He can build the website himself and pay for hosting. This would cost him $2,000/year. The average item for sale is $4. Average costs associated with each sale are $3. His second option is to use an existing e-commerce service. This incurs an additional monthly cost of $15/month. The site takes a cut of his sales of $0.25/item, so he is planning on also increasing his prices by $0.5/item. The remaining costs stay the same .
a) What is the annual fixed cost for the e-commerce site option?
b) What is the unit price for the e-commerce option?
c) What is the variable cost for the self - developed site option?
d) If Jonathan sells 200 items , which option does he prefer?
e) If Jonathan sells 700 items, which option does he prefer?
Answer:
a) $ 2,180
b) $4.5
c) $3
d) The first option
e) The second option
Explanation:
The parameters we are equipped with from the question include:
cost of building website himself and paying for hosting = $2,000/year
average item = $4
average cost = $3
monthly cost = $15/ month
sales = $ 0.25 / item
Prices increase = $0.5/item
a) The annual fixed cost for the e-commerce site option = cost +(monthly cost × 12 months)
= $2000 ($15 × 12)
= $2000 + $180
= $ 2180
b) The unit price for the e-commerce option = (average item + price increase)
= $4 + $0.5
= $ 4.5
c) Variable Cost for the first option
= average cost
= $ 3
d) If Jonathan sells 200 items
For the first option; we have:
= number of items × (average item - average cost) - cost
= $200($4 -$3) - $2000
= $200($1) -$2000
= $200 - $2000
= - $1,800
For the second option; we have;
= number of items × ( unit price- average cost) - site option
= $200 × ($4.5-$3) - $2180
= $200 × ($1.5) - $2180
= $300 - $2180
= -$1880
∴ Here, when we sells 200 items, he will prefer the first option because lesser price is associated with it.
e)
If Jonathan sells 700 items.
For the first option; we have:
= number of items × (average item - average cost) - cost
= $700($4 -$3) - $2000
= $700($1) -$2000
= $700 - $2000
= - $1,300
For the second option; we have;
= number of items × ( unit price- average cost) - site option
= $700 × ($4.5-$3) - $2180
= $700 × ($1.5) - $2180
= $1050 - $2180
= -$1130
∴ Here, when he sells 700 items, He will prefer the second option because lesser price is associated with it.
After Shipra got a job, the first thing she bought was a new car. She took out an amortized loan for $20,000—with no ($0) down payment. She agreed to pay off the loan by making annual payments for the next four years at the end of each year. Her bank is charging her an interest rate of 6% per year. Yesterday, she called to ask that you help her compute the annual payments necessary to repay her loan.
Shipra's annual payments to repay her $20,000 loan with a 6% interest rate over 4 years would be approximately $5,729.82.
To calculate Shipra's annual payments necessary to repay her $20,000 loan with a 6% annual interest rate over 4 years, you can use the following formula for the fixed annual payment in an amortized loan:
PMT = [P * r * (1 + r)^n] / [(1 + r)^n - 1]
Where:
PMT = Annual payment
P = Loan principal amount ($20,000)
r = Annual interest rate (6% or 0.06)
n = Total number of payments (4 years)
Now, plug in the values:
PMT = [20,000 * 0.06 * (1 + 0.06)^4] / [(1 + 0.06)^4 - 1]
PMT = [20,000 * 0.06 * 1.265319] / [1.265319 - 1]
PMT = [1,518.19] / [0.265319]
PMT ≈ $5,729.82
So, Shipra's annual payments necessary to repay her loan would be approximately $5,729.82 per year for the next four years.
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Karl Yates needs $24,000 to pay for the remodeling work on his house. A contractor agrees to do the work in 10 months. How much should Karl deposit at 7.4% in order to accumulate the $24,000 by that time?
Answer:
$22614 needs to be deposited today.
Explanation:
Let x be the amount we will initially invest. The investment will be made for 10 months while the interest rate given here as 7.4% is the annual interest rate.
So,
24000 = x * ( 1 + 0.074 )^10/1224000 / ( 1 + 0.074)^10/12 = x x = $22613.84 rounded off to $22614Thus if Karl makes an initial investment of $22614 at 7.4% annual interest rate, then he will be able to withdraw a combined Principal + Interest of $24000 after 10 months.
Karl Yates should deposit approximately $22,105.82. By doing this, he will accumulate the necessary $24,000 by 10 months using the annual interest rate of 7.4%.
Explanation:To solve this problem, we turn to the formula for compound interest that is compounded annually. This formula is A = P + P*r*t, where A is the final amount of money, P is the principal amount (initial money), r is the annual interest rate, and t is the time in years.
In this case, Yates needs $24,000, therefore A = 24,000. The interest rate is 7.4%, or 0.074 when expressed as a decimal. The time frame is 10 months, which is approximately 0.83 years when converted (10/12).
Substituting these values into the equation, we get 24,000 = P + 0.074*P*0.83. Simplifying the equation, we find that P (the amount that Karl should deposit) is roughly $22,105.82. Therefore, Yates needs to deposit this amount so that he will accumulate a total of $24,000 by 10 months to pay the contractor.
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Pollution Buster, Inc., in considering a pruchase of 10 additional carbon sequesters for $100,000 a piece. The sequesters lasts for only one year until saturated with carbon. Then the carbon is removed and sold.
a) Suppose the government guarantees the price of carbon. At this price, the payoff after 1 year is guaranteed to be $115,000. How would you determine the opportunity cost of capital for this investment?
b) Suppose instead that the sequested carbon has to soldon the London Carbon Exchange. Carbon prices have been extremely volatile, but Pollution Busters' CFO learns that average rates of return from investment on that exchange have been about 20%. She thinks that is reasonable forceast for the furture. What is the opportunity cost of capital in this case? Is the purchase of an additional sequester a worthwhile capital investment if she expects that the price of extracted carbon will be $115,000?
Answer and Explanation:
The answer is attached below
Answer:
opportunity cost of capital for the investment = 15%opportunity cost would be 20% and it is worth buying an additional sequesterExplanation:
opportunity cost of capital is the return on investment that a company loses when it decides to invest in internal projects rather than investing in save market securities like stocks and bonds that could be marketable in the long and short run.
opportunity cost of investment is calculated as
( market value - cost ) / cost
market value = $115000
cost = $100000
therefore opportunity cost of investment will be
= ( 115000 - 100000 ) / 100000
= 15000/100000 = 0.15 in percentage it will be 15%
Average rate of returns from investment can also be said to be the opportunity cost of the business hence the new opportunity cost will be
20% and also the purchase of additional sequester will be worth it becomes it will increase the rate off return ( opportunity cost ) to 20%
Use the following information to answer the question about BobCat Co. at the end of 2017:
Accounts receivable $44,890
Accounts payable 6,405
Cash 16,070
Common stock 42,500
Long-term notes payable 20,600
Merchandise inventory 28,475
Salary Payable 28,170
Retained earnings 50,465
Prepaid insurance 2,365
Current liabilities are:
A. 6,405
B. 20,600
C. 34,575
D. 36,940
Answer:
c. $34,575
Explanation:
Data provided in the question
Accounts receivable = $44,890
Accounts payable = $6,405
Cash = $16,070
Common stock = $42,500
Long-term notes payable = $20,600
Merchandise inventory = $28,475
Salary Payable = $28,170
Retained earnings = $50,465
Prepaid insurance = $2,365
So, The computation of the current liabilities are as follows
= Accounts payable + salary payable
= $6,405 + $28,170
= $34,575
Therefore, the current liabilities only includes the account payable and the salary payable.
An investment project has an initial cost of $260 and cash flows $75, $105, $100, and $50 for Years 1 to 4, respectively. The cost of capital is 12 percent. What is the discounted payback period
Answer:
It will take 2 years and 292 days.
Explanation:
Giving the following information:
An investment project has an initial cost of $260 and cash flows $75, $105, $100, and $50 for Years 1 to 4.
The payback method of project analysis calculates the time necessary for a series of cash flows to "payback" the initial investment.
Io= -260
Year 1= 75= - 185
Year 2= 105= -80
Year 3= 100= 20
To calculate the number of days:
Days= (80/100)*365= 292
It will take 2 years and 292 days.
Madsen Motors's bonds have 7 years remaining to maturity. Interest is paid annually, they have a $1,000 par value, the coupon interest rate is 8%, and the yield to maturity is 11%. What is the bond's current market price? Round your answer to the nearest cent.
Answer:
Bond Price $858.63
Explanation:
We have to solve for the present value of the bond which is the coupon payment and maturity disconted at the yield to maturity:
PV of the coupon payment
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C 80.000 (1,000 x 8%)
time 7
rate 0.11
[tex]80 \times \frac{1-(1+0.11)^{-7} }{0.11} = PV\\[/tex]
PV $376.9757
PV of the maturity
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 1,000.00
time 7.00
rate 0.11
[tex]\frac{1000}{(1 + 0.11)^{7} } = PV[/tex]
PV 481.66
PV c $376.9757
PV m $481.6584
Total $858.6341
Liu Company has sales of $48,500,000, and the break-even point in sales dollars is $31,040,000. Determine the company's margin of safety as a percent of current sales. Enter your answer as a whole number.
Final answer:
The Liu Company's margin of safety as a percent of current sales is approximately 36% when calculated using the given sales figures and break-even point.
Explanation:
To determine the margin of safety as a percent of current sales for the Liu Company, you can use the following formula: Margin of Safety = (Current Sales - Break-even Sales) / Current Sales. We are given that Current Sales are $48,500,000 and the Break-even Sales are $31,040,000.
Thus, the calculation for the Liu Company would be:
Margin of Safety = ($48,500,000 - $31,040,000) / $48,500,000Margin of Safety = $17,460,000 / $48,500,000Margin of Safety ≈ 0.36To express this as a percentage, we multiply by 100:
Margin of Safety Percentage ≈ 36%Therefore, the Liu Company's margin of safety, as a percent of current sales, is approximately 36% (rounded to the nearest whole number).