Answer:
Following are the solution to the given question:
Explanation:
The decrease of a marginal input return implies that its input is increasing by one unit, thereby decreasing its marginal input product.
Function of production
[tex]F(K, L) = AK^{\frac{3}{4}} L^{\frac{3}{4}}[/tex]
Its capital products subject (MPK) is derived by differentiating the factor of production from K.
[tex]MPK = \frac{3}{4}\times AK^{\frac{3}{4}} - 1L^{\frac{3}{4}}\\\\MPK = \frac{3}{4}AK^{-\frac{1}{4}}L^{\frac{3}{4}}\\\\MPK = \frac{3}{4}\times A\times (\frac{L^{\frac{3}{4}}}{K^{\frac{1}{4}}})[/tex]
Note: When a value is changed from numerator to denominator, then the power symbol shifts between positive to negative.
Since k is in the denominator, K decreases [tex]\frac{3}{4}\times A\times (\frac{L^{\frac{3}{4}}}{K^{\frac{1}{4}}})[/tex], and therefore MPK is reduced.
There's hence a decreased effective return on capital again for production function.
Its marginal labor product (MPL) is determined by distinguishing the manufacturing function from L.
[tex]MPL = (\frac{3}{4})\times AK^{\frac{3}{4}}L^{\frac{3}{4}}-1\\\\MPL = (\frac{3}{4})AK^{\frac{3}{4}}L^{-\frac{1}{4}}\\\\MPL = (\frac{3}{4})\times A\times (\frac{K^{\frac{3}{4}}}{L^{\frac{3}{4}}})[/tex]
The denominator of L reduces L [tex](\frac{3}{4})\times A\times (\frac{K^{\frac{3}{4}}}{L^{\frac{3}{4}}})[/tex] and therefore reduces MPL.
So there is a decreasing marginal return to labor in the production function.
Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game
Answer:
Kindly check explanation
Explanation:
We create a probability distribution for the play and winning :
Possible winning, X = 0, 7, 20
Probability of winning :
Sum of 2 die rolls ; sample space = 6² = 36
P(winning 0) = (sum ≠ 2,3,5 or 6)/ sample space = 24 / 36 = 2/3
P(winning 20) = (sum = (2 or 3) / Sample space) = 9 / 36 = 1/4
P(winning 7) = (sum = (5or6) / sample space) = 3 / 36 = 1/12
Distribution table :
X _____ 0 _______ 7 _____ 20
P(x) ___ 2/3 _____ 1/4 ____ 1/12
Expected value of the game ; E(X) ;
E(X) = Σx*p(x)
E(X) = (0*2/3) + (7*1/4) + (20*1/12)
E(X) = 0 + 1.75 + 1.6667
E(X) = 3.417
E(X) = 3.42
This means the mean winning after a long play is expected to be $3.42
To know if the game should be paku in the long run : we calculate the payoff
Expected Value - cost of paly
Cost of play = $6
Payoff = 3.42 - 6 = - 2.58
Since, payoff is negative, the game should not be played.
You are told that standing up during the Cowboys football game will give you a better view of the field. However, if everyone stands up at the same time, then your view is obscured. This example best describes:
a. inclusion of an irrelevant variable.
b. a violation of ceteris paribus .
c. a fallacy of composition.
d. a post hoc ergo propter hoc fallacy.
e. an omission of a relevant variable.
Answer:
I think the answer is e. Because you the variable that if everyone stands up you cant see is omitted.
During 2021, its first year of operations, Pave Construction provides services on account of $160,000. By the end of 2021, cash collections on these accounts total $110,000. Pave estimates that 25% of the uncollected accounts will be uncollectible. In 2022, the company writes off uncollectible accounts of $10,000. Required:
Answer:
Uncollectible amounts $12,000 debit
_____ Allowance for uncollectible amounts $12,000 credit
(Being the record of uncollectible)
Allowance for uncollectible amounts $10,000 debit
______ Accounts receivables $100,000 credit
(To record write off 2021)
Balance of the Allowance accounts:
$12,500 - 10,000 = 2,500
Allowance uncollectible amounts $15,000 debit
_____ Accounts receivables $15,000 credit
(To record write off 2022)
Explanation:
•The concluding part of the above question is record the adjusting entry for uncollectible accounts on December 31 2021
• Record write off of accounts receivables in 2022
Sales $160,000
Collection $110,000
AR $50,000
The above is multiplied by 25% unexpected uncontrollable amount : $12,500
The Allowance method will not recognize the additional uncollectible amount expense when doing a writer off. It will only do it when the company does the adjusting entry considering their rates and ageing of their accounts
Calvin works in the accounting department for a textbook publishing firm preparing budgets and reporting production costs. What job does Calvin hold
Answer:
The answer is "managerial accountant".
Explanation:
The economic circumstances collect and earned value collection of data, evaluating and presenting financial information for the organization or the management team of the company. These statistics will then be used to make sensible financial decisions that really can benefit the overall growth of the organization.
Managers were employing company and organizational accounts to monitor internal financial processes, revenue, spending, and budget, submit reports, determine past trends and forecast future needs, and aid economic decisions.
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.27 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio
Answer:
the beta be for the other stock in your portfolio is 1.73
Explanation:
The computation of the beta be for the other stock in your portfolio is shown below:
Given that
risk free asset contains the beta of 0
And,
market beta = 1
Now
1 = 1 ÷ 3 × 0 + 1 ÷ 3 × 1.27 + 1 ÷ 3 × beta
The beta of other stock = 1.73
hence, the beta be for the other stock in your portfolio is 1.73
Here we assume that one-third should be invested in all 3 things each
A small firm builds television antennas. The investment in plan and equipment is $200,000. The variable cost per television antenna is $500. The price of the television antenna is $1000. How many television antennas would be needed for the firm to break even
Answer:
Break-even quantity is 400 units.
Explanation:
Below is the calculation for the number of television antennas:
At break-even, the firm's total revenue is equal to the total cost.
Cost of investment (fixed cost) = $200000
Variable cost = $500
Pirce of television antenna = $1000
At break-even, TR = TC
(P x Q) = (TFC + TVC)
1000Q = 200000 + 500Q
10000Q-500Q = 200000
500Q = 200000
Q = 200000 / 500
Q = 400 units
Thus break-even quantity is 400 units.
Managers in international businesses will need to evaluate the attractiveness of a country as a market or location for a facility or investment.
a. True
b. False
Answer:
a. True
Explanation:
A manager can be defined as an individual who is saddled with the responsibility of providing guidance, support, supervision, administrative control, as well as acting as a role model or example to the employees working in an organization by being morally upright. Thus, he or she supervises and ensures his subordinates (employees) are working effectively and efficiently with the organization's goals and objectives.
Generally, managers working in international businesses are expected to evaluate the attractiveness of a country as a market or location for a facility or investment before going ahead to the endorse and approve it for any business having long-term plan, goals and objectives in mind.
Some examples of the factors a manager should look out for in determining the attractiveness of a country includes freedom of expression, government policies, power supply, taxation, ease of doing business, climate, etc.
a 17-year annuity pays $1,100 per month, and payments are made at the end of each month. The interest rate is 16 percent compounded monthly for the first 6 years and 13 percent compounded monthly thereafter. What is the present value of the annuity
Answer:
The present value of the annuity is $73,091.50
Explanation:
Use the following formula to calculate the present value of the annuity
Present value of annuity = ( Annuity Payment x Annuity factor for first 6 years ) + [ ( Annuity Payment x Annuity factor for after 6 years ) x Present value factor for 6 years ]
Where
Annuity Payment = $1,000
Annuity factor for first 6 years = 1 - ( 1 + 16%/12 )^-(6x12) / 16%/12 = 46.10028344
Annuity factor for after 6 years = 1 - ( 1 + 13%/12 )^-((17-6)x12) / 13%/12 = 70.0471029820
Present value factor for 6 years = ( 1 + 16%/12)^-(6x12) = 0.385329554163
Placing values in the formula
Present value of annuity = ( $1,000 x 46.10028344 ) + [ ( $1,000 x 70.0471029820 ) x 0.385329554163 ]
Present value of annuity = $46,100.28 + $26,991.22
Present value of annuity = $73,091.50
Suppose First Main Street Bank, Second Republic Bank, and Third Fidelity Bank all have zero excess reserves. The required reserve ratio is 25%. Manuel, a client of First Main Street Bank, deposits $1,800,000 into his checking account at First Main Street Bank.
Required:
Write down the table to show the effect of a new deposit on excess and required reserves
Answer:
Change in Excess Reserves $1,350,000
Change in Required Reserves $450,000
Explanation:
Preparation of the table to show the effect of a new deposit on excess and required reserves
Based on the information given since the REQUIRED RESERVE RATIO is 25%, which means that First Main Street Bank will hold 25% of its initial deposit leading to INCREASE in the REQUIRED RESERVE by the amount of $450,000 (25%*$1,800,000) while the remaining 75% (100%-25%) will be the EXCESS RESERVES of the amount of $1,350,000 (75%*$1,800,000).
Hence:
Amount Deposited: $1,800,000
Change in Excess Reserves=$1,350,000
Change in Required Reserves= $450,000
Therefore the effect of a new deposit on excess and required reserves will be:
Change in Excess Reserves $1,350,000
Change in Required Reserves $450,000
Bobby bought 550 shares of stock at $61.25 per share. His broker charges 4% commission for round lots and 5% for odd lots. Calculate the total cost of the stock purchase.
Answer:
The total cost of the stock purchase was $ 35,371.87.
Explanation:
Since Bobby bought 550 shares of stock at $ 61.25 per share, and his broker charges 4% commission for round lots and 5% for odd lots, to calculate the total cost of the stock purchase the following calculation must be performed:
Odd lot = less than 100 shares, or sum not divisible by 100
550 = odd lot
(550 x 61.25) x 0.05 = X
33,687.5 x 0.05 = X
1,684.375 = X
33,687.5 + 1,684,375 = 35,371,875
Therefore, the total cost of the stock purchase was $ 35,371.87.
In its income statement for the year ended December 31, 2022, Sheffield Corp. reported the following condensed data.
Operating expenses $725,000
Interest revenue $38,000
Cost of goods sold 1,261,000
Loss on disposal of plant assets 22,000
Interest expense 76,000
Net sales 2,204,000
Income tax expense 50,000
Other comprehensive income (net of $1,200 tax) 8,800
Required:
Prepare a multiple-step income statement.
Answer:
Sheffield Corp.
Multiple-step income statement for the year ended December 31, 2022
Net sales $2,204,000
Less Cost of goods sold ($1,261,000)
Gross Profit $943,000
Less Operating Expenses :
Operating expenses $725,000 ($725,000)
Operating Profit $218,000
Less Non Operating Expenses :
Interest revenue ($38,000)
Loss on disposal of plant assets $22,000
Interest expense $76,000
Income tax expense $50,000 ($110,000)
Net Profit $108,000
Other Comprehensive Income
Other comprehensive income (net of $1,200 tax) $8,800
Total Profit and loss and comprehensive income $116,800
Explanation:
A multiple-step income statement shows separately profit derived from primary activities and that derived from secondary activities as shown above.
the black shoe company produces its famous madison shoe, which sell for $60m per pair, the operating income for 2020 is as follows: Revenues $300,000 Variable costs $120,000 Fixed costs $108,000
What is the break-even point in units?
Lowden Company has a predetermined overhead rate of and allocates overhead based on direct material cost During the current period direct labor cost is 58,000 and direct materials cost is $ 88,000 . How much overhead cost should Lowden Company should apply in the current period
Answer:
$138,160
Explanation:
Calculation to determine How much overhead cost should Lowden Company should apply in the current period
Using this formula
Overhead =157%*Direct material cost
Let plug in the formula
Overhead=157%*88,000
Overhead=$138,160
Therefore the amount of overhead cost that Lowden Company should apply in the current period is $138,160
Calculate the net present value in US$ of an investment in the health spa only, assuming that the 1,500-square-foot unit is purchased and then resold at the end of 12 years. (Hint: Before making your present value calculations, multiply all amounts expressed in CI$ by $1.25 to convert into US$.)
Answer: Hello I was able to find the Major part of the question online as attached below
answer :
Net present value ( NPV ) = $153353.91
Explanation:
NPV = ( Present value of Cash Inflow) - ( Present value of Cash outflow) -- ( 1 )
present value of cash inflow
i) cosmetic products = ( 5500 * 1.25 * 12) * ( 6.8137) (cost of capital )) = 562130.25
ii) land sale = ( 1500 * 300 * 1.25 ) * ( 0.8186 ) ( cost of capital )) = 179212.5
∑ present value of cash inflow = 741342.75
Present value of cash outflow ( other expenses )
∑ present value of cash outflow = 587,988.84
NPV = 741,342.75 - 587,988.84 = $153,353.91
name two product with an inelastic demand
Answer:
everything can be found in the picture
David works for a cookie company downtown. He earns $7 per hour. In a typical week, he works 22 hours. His employer provides overtime pay equal to 3 times his normal wage if he works past 40 hours. The company also provides a 8% commission on all cookies sold. How much can David make this week if he works 30 hours and sells $1100 worth of cookies
Answer:
$242
Explanation:
Calculation to determine How much can David make this week
Earnings for David =( 22*$7) + (1100*8%)
Earnings for David=$154*$88
Earnings for David= $242
Therefore How much can David make this week is $242
Dogs R US uses the perpetual inventory system to account for its merchandise. A customer returned merchandise. Assuming that the purchase was originally bought on credit for $400 with a cost to Dogs R US of $100, demonstrate required journal entry of Dogs R US to record the return by selecting all of the correct actions below. (Check all that apply.) Multiple select question. Credit Accounts Receivable $400. Credit Sales Returns and Allowances $400. Debit Accounts Payable $400. Credit Merchandise Inventory $100. Credit Cash $400. Debit Sales Returns and Allowances $400. Credit Cost of Goods Sold $100. Debit Cost of Goods Sold $100. Debit Merchandise Inventory $100.
Answer:
Credit cost of goods sold $100.
Debit merchandise inventory $100.
Credit accounts receivable $400.
Debit sales returns and allowances $400.
Explanation:
These are the demonstrate required journal entries of Dogs R US to record the return.
Credit cost of goods sold $100.
Debit merchandise inventory $100.
Credit accounts receivable $400.
Debit sales returns and allowances $400.
Weighted Average Cost Flow Method Under Perpetual Inventory System The following units of a particular item were available for sale during the calendar year:
Jan. 1 Inventory 4,000 units at $40
Apr. 19 Sale 2,500 units
June 30 Purchase 4,500 units at $44
Sept. 2 Sale 5,000 units
Nov. 15 Purchase 2,000 units at $46
Required:
The firm uses the weighted average cost method with a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale.
Answer:
Cost of goods sold:
Apr. 19 = $100,000
Sept. 2 = $215,000
Inventory Balance on:
Apr. 19 = $60,000
Sept. 2 = $43,000
Explanation:
a) Data and Calculations:
Date Description Units Unit Price Inventory Cost of Sales
Jan. 1 Inventory 4,000 $40 $160,000
Apr. 19 Sale 2,500 $40 $60,000 $100,000
June 30 Purchase 4,500 $44 $258,000 ($44 * 4,500 + $60,000)
Sept. 2 Sale 5,000 $43 $43,000 $215,000
Nov. 15 Purchase 2,000 $46 $135,000 ($46 * 2,000 + $43,000)
A firm that purchases electricity from the local utility for $300,000 per year is considering installing a steam generator at a cost of $260,000. The cost of operating this generator would be $210,000 per year, and the generator will last for five years. If the firm buys the generator, it does not need to purchase any electricity from the local utility. The cost of capital is 11%. For the local utility option, consider five years of electricity purchases. For the generator option, assume immediate installation, with purchase and operating costs in the current year and operating costs continuing for the next four years. Assume payments under both options at the start of each year (i.e., immediate, one year from now,..., four years from now). What is the net present value of the more attractive choice?
Answer:
The net present value of the more attractive choice is:
= $1,108,800 (paying for local utility)
Explanation:
a) Data and Calculations:
Project period = 5 years
Cost of capital = 11%
Local Utility Steam Generator
Operating cost per year $300,000 $210,000
Cost of steam generator $260,000
PV (annuity factor
at 11% for 5 years) 3.696
PV (annuity factor
at 11% for 4 years) 3.102
Present value $1,108,800 ($300,000 * 3.696)
Present value of steam generator/
operating cost for the 1st year $470,000
Present value of operating cost for 4 years 651,420 ($210,000 * 3.102)
Net present value $1,108,800 $1,121,420
Paying for the local utility is more attractive with a net present value savings of $12,620 ($1,121,420 - $1,108,800)
April 30 May 31
Inventories
Raw materials $37,000 $42,000
Work in process 9,800 18,600
Finished goods 58,000 34,900
Activities and information for May
Raw materials purchases (paid with cash) 189,000
Factory payroll (paid with cash) 150,000
Factory overhead
Indirect materials 7,000
Indirect labor 34,500
Other overhead costs 101,000
Sales (received in cash) 1,200,000
Pre-determined overhead rate based on direct labor cost 55%
Compute the following amounts for the month of May using T-accounts
1. Cost of direct materials used.
2. Cost of direct labor used.
3. Cost of goods manufactured.
4. Cost of goods sold.
5. Gross profit.
6. Overapplied or underapplied overhead.
Answer:
1. Cost of direct materials used
= $177,000
2. Cost of direct labor used
= $150,000
3. Cost of goods manufactured
= $400,700
4. Cost of goods sold
= $423,800
5. Gross profit
= $776,200
6. Overapplied or underapplied overhead
= $60,000 Underapplied
Explanation:
a) Data and Calculations:
Inventories
Raw materials $37,000 $42,000
Work in process 9,800 18,600
Finished goods 58,000 34,900
Activities and information for May
Raw materials purchases (paid with cash) 189,000
Factory payroll (paid with cash) 150,000
Factory overhead
Indirect materials 7,000
Indirect labor 34,500
Other overhead costs 101,000
Sales (received in cash) 1,200,000
Predetermined overhead rate based on direct labor cost = 55%
T-accounts:
Raw materials
Account Titles Debit Credit
Beginning balance $37,000
Cash 189,000
Factory overhead $7,000
Work in process 177,000
Ending balance $42,000
Totals $226,000 $226,000
Work in process
Account Titles Debit Credit
Beginning balance $9,800
Direct materials 177,000
Direct labor 150,000
Applied overhead 82,500
Finished goods $400,700
Ending balance $18,600
Totals $419,300 $419,300
Finished goods
Account Titles Debit Credit
Beginning balance $58,000
Work in process 400,700
Cost of goods sold $423,800
Ending balance $34,900
Totals $458,700 $458,700
Factory overhead
Account Titles Debit Credit
Indirect materials $7,000
Indirect labor 34,500
Other costs 101,000
Work in process $82,500 (55% of direct labor)
Under-applied overhead 60,000
Total $142,500 $142,500
Sales (received in cash) 1,200,000
Cost of goods sold 423,800
Gross profit = 776,200
mention one product you are selling on your sole proprietorship
Answer: Examples of sole proprietors include small businesses such as, a local grocery store, a local clothes store, an artist, freelance writer, IT consultant, freelance graphic designer, etc.
Explanation:
As we’re well aware, vending machines are used to sell snacks and beverages, whereas newspapers are sold out of a box that allows anyone to take more than one paper. How does the concept of diminishing marginal utility explain the different distribution techniques for newspapers vs. snacks and beverages? Identify two additional examples of an item whose diminishing marginal utility is high. Remember: Marginal utility is the change in total utility that results from a one-unit increase in the quantity of a good consumed; diminishing marginal utility is the general tendency for marginal utility to decrease as the quantity of a good consumed increases.
Answer:
Because people do not need a second newspaper, it will not bring any more information to their lives, rather than a second soda can or snack.
Explanation:
The law of diminishing marginal utility states that there are some products or services to which an increase in the consumption will not bring the same utility for the user as the right amount, for example, if you eat a slice of pizza, it will bring certain benefit, you'll be less hungry but if you eat 7 slices of pizza at some point you'll no longer be hungry and it will rather make you sick, in this case vending machines have a higher marginal utility, a person could drink 3 or 4 drinks or take 4 or 5 snacks before it makes them feel sick, whilst a person that buys a person buying a newspaper won't need a second one, even if it is for his/her family, a 5 people house has enough newspaper by taking 1 copy of it.
Other examples of this can be a vacuum cleaner, you don't need a second one if you already have one, or a house buying a second house ain't as necessary as the first one.
You own a portfolio that has a total value of $185,000 and it is invested in Stock D with a beta of .91 and Stock E with a beta of 1.33. The beta of your portfolio is equal to the market beta. What is the dollar amount of your investment in Stock D
Answer:
$145,357.14
Explanation:
The computation of the dollar amount of your investment in Stock D is shown below:
Let us assume the investment in D be $x
So,
The investment in E is ($185,000 - x)
As we know that
Portfolio beta= Respective beta × Respective investment weight
1 = (x ÷ 185,000 × 0.91 ) +(185,000 - x) ÷ 185,000 × 1.33
Here
Beta of market = 1
And, the Beta of risk-free assets=0
(1 × 185000) = 0.91x + 246050 - 1.33x
185,000 = 0.91x + 246050 - 1.33x
x = (246050 - 185,000) ÷ (1.33 - 0.91)
= $145,357.14
Bono was kicked out of the band U2 for failing to attend rehearsals on time and constantly cutting the strings of Adam Clayton bass guitar. For the purposes of this question Bono was an employee of U2 which is an American company. Bono applies for unemployment insurance. Provided that he is actively attending auditions to display his willingness and ability to seek future employment he will receive state administered unemployment benefits.
A. True
B. False
Answer:
B
Explanation:
He was fired for constantly missing rehearsals which is a duty of his role as an employee of U2
He was fired for constantly missing rehearsals which is a duty of his role as an employee of U2. As the Bono is fired because of his continuous mistakes, and he is not liable to get the unemployment insurance.
What is unemployment insurance?Unemployment insurance benefits are offered by the U.S. Federal Government to enrollees who become jobless absolutely no fault of their own and fulfill some other rules.
Unemployment insurance is a state-federal program that pays financial compensation to workers who are unemployed.
Thus, option B is correct.
For more details about unemployment insurance, click here:
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g Which of the following statements is true of clustering? A. It uses different suppliers and distribution channels for interdependent companies within an industry. B. It seldom uses specialized labor. C. It helps a firm gain an increase in efficiencies. D. It typically increases the costs of production and distribution.
Answer: C. It helps a firm gain an increase in efficiencies.
Explanation:
Clustering refers to the geographic concentration of the businesses and the suppliers that are interconnected in a particular field.
The aim of clusters is to help increase efficiencies as well as being about an increase the productivity through which companies can compete.
Therefore, the correct option is C.
Examine a product that has recently changed prices when you were at the grocery store in the past week. Analyze one determinant of supply and demand that has created the price to increase or decrease in your example. How did the change in demand or supply affect the market price in your example
Answer:
In the store the bread seemed to have a higher demand this week. When we went monday the shelfs were full of bread and the bread was 3.75 and when we went saturday it was 3.99. I think because it was in higher demand the bread went uo in cost so they wouldn't sell out.
What do we call interest on interest?
Answer:
Interest-on-interest, also referred to as 'compound interest', is the interest that is earned when interest payments are reinvested.
Capital market securities have short-term maturities with less than one year and therefore can be sold for cash quickly and easily.
a) true
b) false
Answer:
b) false
Explanation:
The capital market securities may be defined as a financial market where long term debts or the equity-backed securities can be bought and then sold.
The capital market securities are long term maturities where cash can be bought and sold easily.
The money market securities are a short term maturity financial securities such as stocks, bonds, etc.
Therefore, the answer is false.
Consider the following time series data. Week 1 2 3 4 5 6 Value 19 13 15 12 17 15 Using the average of all the historical data as a forecast for the next period, compute the following. (Round your answers to two decimal places.)
measures of forecast accuracy:Mean absolute error (MAE)Mean squared error (MSE)Mean absolute percentage error (MAPE)Round your answers to two decimal places.MAE =MSE =MAPE =Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.MAE =MSE =MAPE =Which method appears to provide the more accurate forecasts for the historical data?
Answer:
1. We have:
MAE = 3.60
MSE = 15.60
MAPE = 25.45
2. We have:
MAE = 2.62
MSE = 11.11
MAPE = 19.59
3. The average of all the historical data provides the more accurate forecasts for the historical data.
Explanation:
Note: This question is not correct as the average of all the historical data is asked to be used as a forecast for the next period in requirements 1 and 2 instead of the naïve method (most recent value) for the first requirement. The correct question is therefore presented before answering the question as follows:
Consider the following time series data.
Week 1 2 3 4 5 6
Value 19 13 15 12 17 15
1. Using the naïve method (most recent value) as the forecast for the next period, compute the following (Round your answers to two decimal places.) measures of forecast accuracy:
a. Mean absolute error (MAE)
b. Mean squared error (MSE)
c. Mean absolute percentage error (MAPE).
2. Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.
3. Which method appears to provide the more accurate forecasts for the historical data?
The explanation of the answer is now provided as follows:
The following formulae are to be used:
MAE = Total of Error / Number of observations
MSE = Total of Error^2 / Number of observations
MAPE = Total of Error % / Number of observations
1. Using the naïve method (most recent value) as the forecast for the next period, compute the following (Round your answers to two decimal places.) measures of forecast accuracy:
Note: See part 1 of the attached excel file for the determination of Naïve and Calculations of Error, Error^2 and Error % using the naïve method as the forecast for the next period.
From the attached excel file, we have:
MAE = 18.00 / 5 = 3.60
MSE = 78.00 / 5 = 15.60
MAPE = 127.23 / 5 = 25.45
2. Using the average of all the historical data as a forecast for the next period, compute the same three values. Round your answers to two decimal places.
Note: See part 2 of the attached excel file for the determination of Naïve and Calculations of Error, Error^2 and Error % using the average of all the historical data as a forecast for the next period.
From the attached excel file, we have:
MAE = 13.12 / 5 = 2.62
MSE = 55.55 / 5 = 11.11
MAPE = 97.94 / 5 = 19.59
3. Which method appears to provide the more accurate forecasts for the historical data?
The average of all the historical data provides the more accurate forecasts for the historical data comparing the values of its MAE, MSE and MAPE to the values of MAE, MSE and MAPE of Naive method. This is because the error values of the average of all the historical data are much lowest and more closest to the actual data.
Upper Darby Park Department is considering a new capital investment. The following information is available on the investment. The cost of the machine will be $150,000. The annual cost savings if the new machine is acquired will be $40,000. The machine will have a 5-year life, at which time the terminal disposal value is expected to be $20,000. Upper Darby Park Department is assuming no tax consequences. If Upper Darby Park Department has a cost of capital of 10%, which of the following is closest to the net present value of the project?
a. $1,632
b. $12,418
C. $14,060
d. $150,000
Answer:
c.$14,060
Explanation:
I hope my answer is correct
