Answer:
a. Provide the journal entry for the vacation pay
Debit Vacation and Holiday expense $49,000
Credit Vacation and Holiday payable $49,000
(To record earned Vacation and Holiday expenses)
b. Provide the journal entry for the pension benefit
Debit Pension expense $30,000
Credit Pension liability $30,000
(Being pension benefit recognition)
Explanation:
The earned vacation and holiday expense has to be recognized in line with the accrual principle of accounting.The pension benefit was also recognized in line with the accrual principle of account. The pension plan is a contribution of 6% of employee salaries, which amounted to $500,000. So, 0.06 x 500,000 = $30,000.Scenario 28-1 Suppose that the Bureau of Labor Statistics reports that the entire adult population of Mankiwland can be categorized as follows: 25 million people employed, 3 million people unemployed, 1 million discouraged workers, and 1 million people who are either students, homemakers, retirees, or other people not seeking employment. Refer to Scenario 28-1. What is the unemployment rate?
Answer:
10.7%
Explanation:
Solution:
Recall that:
The Reports from Bureau of labor statistics is shown as follows:
Employed people = 25 million
Unemployed people = 3 million
Discouraged workers = 1 million
Workers or Homemakers or retirees, or students = 1 million
The next step from this scenario is to find out the unemployment rate
Now,
The rate of unemployed = (unemployed x 100 ) / labor force
= 300/28
=10.7%
Salyers Family Inn is a bed and breakfast establishment in a converted 100 year-old mansion. The Inn's guests appreciate its gourmet breakfasts and individually decorated rooms. The Inn's overhead budget for the most recent month appears below: Activity Level 57 guests Variable overhead costs Supplies $148.20 Laundry 216.60 Fixed Overhead costs Utilities 170.00 Salaries and wages 4,310.00 Depreciation 2,340.00 Total Overhead Cost $7,184.80 The Inn's variable overhead costs are driven by the number of guests. What would be the total budgeted overhead cost for a month if the activity level is 53 guests. Group of answer choices $6,680.60 $26,154.40 $7,159.20 $7,184.80
Answer:
The budgeted overhead= $7,159.2
Explanation:
The budgeted Overhead cost can be determined as follow
The budgeted overhead= Fixed cost + variable cost
Fixed overhead cost = 170.00 + 4,310.00 + 2,340.00 = 6820
Variable cost per activity = ( 148.20 + 216.60)/57 = 6.4 per guest.
The budgeted cost equation = 6820 + 6.4 x
Where X represent the number of guest
The budgeted overhead = 6820 + (6.4 × 53)= $7,159.2
The budgeted overhead= $7,159.2
Samco signed a 5-year note payable on January 1, 2018, of $ 475 comma 000. The note requires annual principal payments each December 31 of $ 95 comma 000 plus interest at 9%. The entry to record the annual payment on December 31, 2021, includes A. a debit to Interest Expense for $ 17 comma 100. B. a debit to Interest Expense for $ 42 comma 750. C. a credit to Cash of $ 137 comma 750. D. a credit to Notes Payable for $ 95 comma 000.
Answer:
Option A, a debit to Interest Expense for $ 17 comma 100 is correct
Explanation:
The principal amount on 1st January 2021 needs to be established since that would be the amount left after 2018,2019,2020 principals have been repaid
Principal at 1st January 2021=$475,000-($95,000*3)=$190000
Interest on principal in 2021=$190000 *9%=$17100
Total repayment in 2021=principal plus interest=$95,000+$17,100=$ 112,100.00
The $95,000 would be a debit to notes payable not credit hence option is wrong.
Only option A,a debit of $17,100 to interest expense is correct
c. Assume that neither country experiences population growth or technological progress and that 6 percent of capital depreciates each year. Assume further that country A saves 15 percent of output each year and country B saves 23 percent of output each year. Using your answer from part b and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker (k∗) , income per worker (y∗) , and consumption per worker (c∗) for each country.
Answer:
Check Explanation.
Explanation:
Note that the production function of bother country = Y=F(K,L) = K L c : k^1/2 L^1/2.
Thus Y/L = b; b = k^1/2 L^1/2/ L.
b = k^1/2.
From the question we are given that L = 6% = 0.06.
Country A saves 15% = 15/100 = 0.15 and country B saves 23% = 23/100 = 0.23.
For country A,
(a). the steady state;
∆k = 0 = y - dk.
0 = 0.15 × k^1/2 - 0.06k.
K^1/2 = 2.5, k* = 6.25
(b). y = K^1/2 = (6.25)^1/2.
y* = 2.5
(c). C = 2.5 - (0.15 × 2.5) = 2.5 - 0.375.
C* = 2.125.
Then, for COUNTRY B.
(a). ∆k = 0 = y - dk.
0 = 0.25 × k^1/2 - 0.06k.
K^1/2 = 4.167, k* = 17.36
(b). y = K^1/2 = (17.36)^1/2.
y* = 4.167.
(c). C = 4.167 - (0.25 × 4.167) = 2.5 - 0.375.
C* = 3.127.
C* = 2.125.
11. a. Suppose David spends his income M on goods x1 and x2, which are priced p1 and p2, respectively. David’s preference is given by the utility function
(1, 2) = √1 + √2.
(i) Derive the Marshallian (ordinary) demand functions for x1 and x2. (25 marks)
(ii) Show that the sum of all income and (own and cross) price elasticity of demand
for x1 is equal to zero. (25 marks) b. For Jimmy both current and future consumption are normal goods. He has strictly convex and strictly monotonic preferences. The initial real interest rate is positive. If the real interest rate falls, in each of the following cases, argue what will happen to his period 2 consumption level? Clearly illustrate your argument on a graph.
(i) He is initially a borrower. (25 marks)
(ii) He is initially a lender. (25 marks)
Answer:
Explanation:
D
Margie Company produces a single product and has provided the following data concerning its most recent month of operations: Selling price $ 88 Units in beginning inventory 0 Units produced 5,200 Units sold 4,900 Units in ending inventory 300 Variable costs per unit: Direct materials $ 12 Direct labor $ 23 Variable manufacturing overhead $ 2 Variable selling and administrative expense $ 5 Fixed costs: Fixed manufacturing overhead $ 161,200 Fixed selling and administrative expense $ 63,700 The total contribution margin for the month under variable costing is:
Answer:
$225,400
Explanation:
The computation of total contribution margin under variable costing is shown below:-
Sales (4900 × $88) $431,200
Less:Variable cost
Direct material (4900 × $12) ($58,800)
Direct labor (4900 × 23) ($112,700)
Variable manufacturing overhead
(4900 × 2) ($9,800)
Variable selling and administrative
expenses (4900 × $5) ($24,500)
Total variable expenses ($205,800)
Contribution margin $225,400
Therefore the total contribution margin under variable costing is $225,400
On December 12, 2021, an investment in equity securities costing $77,000 was sold for $94,000. The total of the sale proceeds was credited to the investment in equity securities account. Required: 1. Prepare the journal entry to correct the error, assuming it is discovered before the books are adjusted or closed in 2021. (Ignore income taxes.) 2. Prepare the journal entry to correct the error assuming it is not discovered until early 2022. (Ignore income taxes.)
Answer:
1.
Dr. Investment Account $17,000
Cr. Gain on Sale $17,000
2.
Dr. retained Earning $17,000
Cr. Gain on Sale $17,000
Explanation:
1.
If an assets is sold more than the book value, then there is a gain on the sales of asset.
Gain on Sale = Sales Proceeds - Book value of Investment = $94,000 - $77,000 = $17,000
As sales proceeds of $94,000 are credited in the Investment account, which needs to be credited by $77,000 only. The excessive amount of $17,000 should be recorded in the Gain on sale account.
2.
Error is not discovered until 2022 and earning for 2021 was transferred to retained earning. So, adjustment should me made in the retained earnings to eliminate the effect.
On January 1, 2021, Swifty Corporation had 106000 shares of its $5 par value common stock outstanding. On June 1, the corporation acquired 10300 shares of stock to be held in the treasury. On December 1, when the market price of the stock was $13, the corporation declared a 15% stock dividend to be issued to stockholders of record on December 16, 2021. What was the impact of the 15% stock dividend on the balance of the retained earnings account?
Answer:
Decrease by $186,615
Explanation:
The impact of the 15% stock dividend on the balance of the retained earnings account is shown below:-
Shares = 106000 - 10300
= 95,700
Dividend of 15% = 95,700 × 15%
= $14,355
Value of shares = Dividend × Market price of the stock
= $14,355 × $13
= $186,615
So, the retained earning will decrease by $186,615
Which of the following scenarios are potential candidates for the Chi-square test? Check all that apply. Group of answer choices Is there a relationship between gender and pet ownership? Is there a relationship between martial status (single, married, divorced, widowed) and political party affiliation (Democrat, Independent, Republican)? Is there a relationship between amount of credit card debt and employment status (unemployed, employed part-time, employed full-time)?
Answer:
A. Is there a relationship between gender and pet ownership?
B. Is there a relationship between marital status (single, married, divorced, widowed) and political party affiliation (Democrat, Independent, Republican)?
Explanation:
The chi squared test is a test in statistics used to establish the relationship between categorical variables. It seeks to compare the observed results in an experiment to the expected results. The test assumes that the variables being compared are independent of each other.
Categorical variables are descriptive and qualitative in nature. Numerical variables, on the other hand, deal with numbers. The amount of credit card debt is a numerical value, and therefore, does not qualify as a chi squared variable.
At the market price of $8, the quantity demanded is nothing units, and quantity supplied is nothing units. At this price, ▼ a surplus a shortage an equilibrium exists. At a market price of $4, ▼ an equilibrium a surplus a shortage now exists. The market equilibrium exists at a price of $ nothing. In equilibrium, the quantity demanded by consumers is ▼ greater than equal to less than to the quantity supplied by producers.
Answer:
The answer is explained in the explanation section below
Explanation:
Solution
(1)At the market price of $8, the Demanded Quantity is 20 units per week , and the Quantity Supplied is 60 units.
(2) At this price Surplus exists.
Economic Surplus is a is a situation in which the quantity supplied is higher than the quantity demanded. This situation is also referred to as excess supply.
(3) At price $4 there is an exist shortage
At price $4 The quantity Supplied is 20 units and the Quantity Demanded is 60 units respectively. hence, at price $4 Demand is higher/greater than Supply.
(4) At a price of $6 per unit, the market equilibrium exists
Market equilibrium is a situation when the Quantity Demanded of a commodity by the consumer is the same to the respective Quantity Supplied of that commodity by the producers.
(5) )Quantity Demanded by the consumers is equal to the quantity supplied by the producers. In the equilibrium
At price $4 per unit , the quantity supplied by the producers is equal to 40 units and the quantity demanded by the consumers is equal to 40 units Thus the supplied quantity is equal to the demanded quantity this point.
How are foreign exchange rates determined
Answer:
Currency prices can be determined in two main ways: a floating rate or a fixed rate. A floating rate is determined by the open market through supply and demand on global currency markets. ... 5 Therefore, most exchange rates are not set but are determined by on-going trading activity in the world's currency markets.
Answer: market forces for. a p e x
Explanation:
just did that bro
Rebel Sound Inc. produced 30,000 audio devices last month. Rebel started the month with $10,000 worth of inventory in Finished Goods. The company incurred $15,000 of various utility and rent charges on their factory, paid $50,000 for raw materials to use in production, and paid employees $60,000 in wages.
During the month, inventory costing $120,000 was completed and transferred to the Finished Goods Inventory. At the end of the month, Rebel had $5,000 of Inventory in Finished Goods, $6,000 in Materials Inventory, and $24,000 still in Work in Process.
Required:
1. What was Rebel Sound Inc Cost of Goods Manufactured for the month?
Answer:
Cost of goods manufactured is $ 101,000 for the month
Explanation:
Please hit LIKE button if this helped. For any further explanation, please put your query in comment, will get back to you.
Cost of Goods Manufactured:
$
Work in process inventory, beginning $ -
Direct materials:
Direct Material Used $ 60,000
Direct labor $ 15,000
Factory overhead Applied $ 50,000
Total manufacturing costs $125,000
Total work in process during period $125,000
Work in process inventory, ending $ -24,000
Cost of goods manufactured $ 101,000
Southern Rim Parts estimates its manufacturing overhead to be $318,000 and its direct labor costs to be $1,060,000 for year 1. The first three jobs that Southern Rim worked on had actual direct labor costs of $65,000 for Job 301, $90,000 for Job 302, and $175,000 for Job 303. For the year, actual manufacturing overhead was $399,000 and total direct labor cost was $834,000. Manufacturing overhead is applied to jobs on the basis of direct labor costs using predetermined rates.Required:a. How much overhead was assigned to each of the three jobs, 301, 302, and 303?b. What was the over- or underapplied manufacturing overhead for year 1?
Answer:
a. Job 301 = $19,500
Job 302 = $27,000
Job 303 = $52,500
b. Overhead applied for the year = $250,200
Under-applied overhead = $148,800
Explanation:
a. The computation of overhead was assigned to each of the three jobs, 301, 302, and 303 is shown below:-
Overhead application rate = Budgeted Overhead ÷ Application Base
Application base = Budgeted Overhead ÷ Budgeted Direct Labor costs
= $318,000 ÷ $1,060,000
= 0.3
Overhead assignment to jobs = Budgeted rate × Labor Cost
Job 301
= 0.3 × $65,000
= $19,500
Job 302
= 0.3 × $90,000
= $27,000
Job 303
= 0.3 × $175,000
= $52,500
b. The computation of over- or underapplied manufacturing overhead for year 1 is shown below:-
Overhead applied for the year = Total direct labor cost × Overhead rate
= $834,000 × 0.3
= $250,200
Under-applied overhead = Actual overhead - Applied overhead
= $399,000 - $250,200
= $148,800
The following information was drawn from the balance sheets of the Kansas and Montana companies: Kansas Montana Current assets $ 59,000 $ 78,000 Current liabilities 40,000 43,000 Required a. Compute the current ratio for each company. b. Which company has the greater likelihood of being able to pay its bills? c. Assume that both companies have the same amount of total assets. Speculate as to which company would produce the higher return-on-assets ratio.
Answer:
a) Current ratio for Kansas company is 1.475
Current ratio for Montana company is 1.814
b) Since the current ratio for the Montana company is more than that of the Kansas company which shows better liquidity, the Montana company has the greater likelihood of being able to pay its bills.
c) Kansas company would produce the higher return-on-assets ratio.
Explanation:
Current Assets Current liabilities
Kansas Company $ 59,000 $ 40,000
Montana Company $ 78,000 $ 43,000
a) To calculate the current ratio of A company
Current ratio = [tex]\frac{Current Assets}{Current Liabilities}[/tex]
Therefore current ratio for Kansas company = $ 59,000 ÷ $ 40,000 = 1.475
Current ratio for Montana company = $ 78,000 ÷ $ 43,000 = 1.814
Oriole Tire Co. just paid an annual dividend of $1.70 on its common shares. If Oriole is expected to increase its annual dividend by 3.10 percent per year into the foreseeable future and the current price of Oriole’s common shares is $19.65, what is the cost of common stock for Oriole? (Round intermediate calculations to 4 decimal places, e.g. 0.1555 and final answer to 2 decimal places, e.g. 15.25%.)
Answer:
Cost of common stock is 12.02%
Explanation:
The cost of common stock can be computed from share price formula given below:
share price=do*(1+g)/r-g
do is the dividend just paid which is $1.70
g is the expected dividend growth per year which is 3.10%
r is the cost of common stock which is unknown
share price is $19.65
by changing the subject of the formula:
r=do*(1+g)/share price+g
r=1.70*(1+3.10%)/19.65+3.10%
r=1.7527/19.65+3.10%
r=0.0892+3.10%=12.02%
The company's cost of capital which is also the cost of common stock is 12.02%
On January 1, Gemstone Company obtained a $165,000, 10-year, 7% installment note from Guarantee Bank. Thenote requires annual payments of $23,492, with the first payment occurring on the last day of the fiscal year. The firstpayment consists of interest of $11,550 and principal repayment of $11,942. The journal entry to record the issuance of the installment note for cash on January 1 would include a:_____
Answer:
Credit to notes payable for $165000
Explanation:
Journal entries for issuance of Note Payable :
Cash Account ..... Debit $165000
7% Note payable Accounts .... Credit $165000
Note:
Note payable is a liability so it is credited as on date of issuance.
Gross Corporation adopted the dollar-value LIFO method of inventory valuation on December 31, 2019. Its inventory at that date was $1,100,000 and the relevant price index was 100. Information regarding inventory for subsequent years is as follows: Inventory at Current Date Current Prices Price Index December 31, 2020 $1,284,000 1.07 December 31, 2021 1,450,000 1.25 December 31, 2022 1,625,000 1.30 What is the cost of the ending inventory at December 31, 2020 under dollar-value LIFO?
Answer:
$1,281,200
Explanation:
Gross Corporation
Ending inventory
2019 1100000
2020 1284000/1.07 = 1200000
Ending Inventory(1100000+100000*1.07) = 1207000
2021 1450000/1.25 = 1160000
Ending inventory(1100000+60000*1.07) = 1164200
2022 1625000/1.30 = 1250000
Ending inventory(1164200+90000*1.30) = $1281200
Therefore the cost of the ending inventory at December 31, 2020 under dollar-value LIFO will be $1,281,200
Galla Inc. needs to determine a price for a new product. Galla desires a 25% markup on the total cost of the product. Galla expects to sell 6420 units. Additional information is as follows: Variable product cost per unit $ 23 Variable administrative cost per unit 25 Total fixed overhead 46,500 Total fixed administrative 30,540 Using the total cost method what price should Galla charge?
Answer:
The price Galla should charge is $75
Explanation:
Solution
Now
The total cost = variable product cost + variable administrative cost + fixed overhead + fixed administrative
= ($23 * 6,420) + ($25 * 6,420) + $46,500 + $30,540
= $147,660 + $160,500 + $46,500 + $30,540
= $385,200
Thus,
The total cost per unit = Total cost / units
= $385,200 / 6,420 units
= $60
Hence
The selling price should charge = Cost per unit * 1.25
= $60 * 1.25
= $75
Swan Company produces its product at a total cost of $43 per unit. Of this amount, $8 per unit is selling and administrative costs. The total variable cost is $30 per unit, and the desired profit is $20 per unit. The markup percentage on product cost is a.47% b.70% c.110% d.80%
Answer:
46.50%.
Explanation:
Percentage Markup = ( Desired profit x 100 ) / Total cost.
($20 × 100 ) / $43 = 46.50%.
I hope my answer helps you
Carlos is a 25% owner of CEBJ Builders, a company that specializes in residential construction. The other 75% of CEBJ is owned by his three brothers. During the year, Carlos spends 1,800 hours managing the operations of CEBJ. He also is the 100% owner of four rental properties and spends 125 hours a year maintaining the properties, more than any other individual. During the current year, the four properties generate a loss of $18,500. His adjusted gross income before considering the rental loss is $118,000.
What amount of the loss can Carlos deduct from the current year?
Answer:
$99,500
Explanation:
Adjusted gross income before considering the rental loss $118,000.
Less generated a loss of $18,500
Adjusted gross income $99,500
Carlos qualifies under the real estate professional exception due to the fact that he spends more than 50% of his personal service time in real property trade and the amount of time spent in real property trade is higher than 750 hours, he is as well the sole owner and spends more than 100hours.
Therefore the rental activity is not considered passive and he is allowed to offset the $18,500 loss against his active and portfolio income which is why Carlos'sadjusted gross income after considering the loss is $99,500 ($118,000 -$18,500)
Contribution Margin Variance, Contribution Margin Volume Variance, Market Share Variance, Market Size Variance Sulert, Inc., produces and sells gel-filled ice packs. Sulert’s performance report for April follows: Actual Budgeted Units sold 290,000 300,000 Sales $1,450,000 $1,515,000 Variable costs 652,500 636,300 Contribution margin $ 797,500 $ 878,700 Market size (in units) 1,250,000 1,200,000 Required: 1. Calculate the contribution margin variance and the contribution margin volume variance. In your computations, round the contribution margin per unit to three decimal places. Contribution margin variance $ Unfavorable Contribution margin volume variance $ Unfavorable 2. Calculate the market share variance and the market size variance. In your computations, round the unit contribution margin to three decimal places and round the market share percentage to one decimal place (for example, .8439 would be rounded to 84.4%). Round your final answers to the nearest dollar. (CMA adapted) Market share variance $ Unfavorable Market size variance $ Favorable
Answer:
1. Market share variance= $65,903(Unfavorable)
2. Market size variance= $36,613(favourable)
Check attachment for the table
A manufacturing company prepays its insurance coverage for a three-year period. The premium for the three years is $2,700 and is paid at the beginning of the first year. Eighty percent of the premium applies to manufacturing operations and 20% applies to selling and administrative activities. What amounts should be considered product and period costs respectively for the first full year of coverage?
Answer:
$720 and $180
Explanation:
According to the scenario, computation of the given data are as follows:
Premium for 3 years = $2,700
So, premium for 1 year = $2,700 ÷ 3 = $900 per year
Manufacturing operation percentage = 80%
Selling and administrative operation percentage = 20%
So, Premium for manufacturing operation = $900 × 80% = $720
And Premium for selling and admin operation = $900 × 20% = $180
Consider the following estimates from the early 2010s of shares of income to each group. Country Poorest 40% Next 30% Richest 30% Bolivia 10 25 65 Chile 10 20 70 Uruguay 20 30 50 1.) Using the 4-point curved line drawing tool, plot the Lorenz curve for Bolivia. Properly label your curve. 2.) Using the 4-point curved line drawing tool, plot the Lorenz curve for Uruguay. Properly label your curve. Carefully follow the instructions above, and only draw the required objects. Which country has the most nearly equal income distribution? ▼ Chile Uruguay Bolivia .
Answer:
Check the explanation
Explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Suppose that output (Y ) in an economy is given by the following aggregate production function: Yt = Kt + Nt where Kt is capital and Nt is the population. Furthermore, assume that capital depreciates at rate δ and that savings is a constant proportion s of income. You may assume that δ > s. 1. Suppose that the population remains constant. Solve for the steady-state level of capital per worker. 2. Now suppose that the population grows at rate n. Solve for the steady-state level of capital per worker. 3. Based on your answer to part 2) above, solve for the steady-state growth rates (in terms of n) of the following: (a) capital per worker (b) output per worker (c) capital (d) output
Answer:
Check the explanation
Explanation:
Yt = Kt + Nt
Taking output per worker, we divide by Nt
Yt/Nt = Kt/Nt + 1
yt = kt + 1
where yt is output per worker and kt is capital per worker.
a) With population being constant, savings rate s and depreciation rate δ.
ΔKt = It - δKt
dividing by Nt, we get
ΔKt/Nt = It/Nt - δKt/Nt ..... [1]
for kt = Kt/Nt, taking derivative
d(kt)/dt = d(Kt/Nt)/dt ... since Nt is a constant, we have
d(kt)/dt = d(Kt/Nt)/dt = (dKt/dt)/Nt = ΔKt/Nt = It/Nt - δKt/Nt = it - δkt
thus, Capital accumulation Δkt = i – δkt
In steady state, Δkt = 0
That is I – δkt = 0
S = I means that I = s.yt
Thus, s.yt – δkt = 0
Then kt* = s/δ(yt) = s(kt+1)/(δ )
kt*= skt/(δ) + s/(δ)
kt* - skt*/(δ) = s/(δ)
kt*(1- s/(δ) = s/(δ)
kt*((δ - s)/(δ) = s/(δ)
kt*(δ-s)) = s
kt* = s/(δ -s)
capital per worker is given by kt*
b) with population growth rate of n,
d(kt)/dt = d(Kt/Nt)/dt =
= [tex]\frac{\frac{dKt}{dt}Nt - \frac{dNt}{dt}Kt}{N^{2}t}[/tex]
= [tex]\frac{dKt/dt}{Nt} - \frac{dNt/dt}{Nt}.\frac{Kt}{Nt}[/tex]
= ΔKt/Nt - n.kt
because (dNt/dt)/Nt = growth rate of population = n and Kt/Nt = kt (capital per worker)
so, d(kt)/dt = ΔKt/Nt - n.kt
Δkt = ΔKt/Nt - n.kt = It/Nt - δKt/Nt - n.kt ......(from [1])
Δkt = it - δkt - n.kt
at steady state Δkt = it - δkt - n.kt = 0
s.yt - (δ + n)kt = 0........... since it = s.yt
kt* = s.yt/(δ + n) =s(kt+1)/(δ + n)
kt*= skt/(δ + n) + s/(δ + n)
kt* - skt*/(δ + n) = s/(δ + n)
kt*(1- s/(δ + n)) = s/(δ + n)
kt*((δ + n - s)/(δ + n)) = s/(δ + n)
kt*(δ + n -s)) = s
kt* = s/(δ + n -s)
.... is the steady state level of capital per worker with population growth rate of n.
3. a) capital per worker. in steady state Δkt = 0 therefore, growth rate of kt is zero
b) output per worker, yt = kt + 1
g(yt) = g(kt) = 0
since capital per worker is not growing, output per worker also does not grow.
c)capital.
kt* = s/(δ + n -s)
Kt*/Nt = s/(δ + n -s)
Kt* = sNt/(δ + n -s)
taking derivative with respect to t.
d(Kt*)/dt = s/(δ + n -s). dNt/dt
(dNt/dt)/N =n (population growth rate)
so dNt/dt = n.Nt
d(Kt*)/dt = s/(δ + n -s).n.Nt
dividing by Kt*
(d(Kt*)/dt)/Kt* = s/(δ + n -s).n.Nt/Kt* = sn/(δ + n -s). (Nt/Kt)
[tex]\frac{sn}{\delta +n-s}.\frac{Nt}{Kt}[/tex]
using K/N = k
[tex]\frac{s}{\delta +n-s}.\frac{n}{kt}[/tex]
plugging the value of kt*
[tex]\frac{sn}{\delta +n-s}.\frac{(\delta + n -s)}{s}[/tex]
n
thus, Capital K grows at rate n
d) Yt = Kt + Nt
dYt/dt = dKt/dt + dNt/dt = s/(δ + n -s).n.Nt + n.Nt
using d(Kt*)/dt = s/(δ + n -s).n.Nt from previous part and that (dNt/dt)/N =n
dYt/dt = n.Nt(s/(δ + n -s) + 1) = n.Nt(s+ δ + n -s)/(δ + n -s) = n.Nt((δ + n)/(δ + n -s)
dYt/dt = n.Nt((δ + n)/(δ + n -s)
dividing by Yt
g(Yt) = n.(δ + n)/(δ + n -s).Nt/Yt
since Yt/Nt = yt
g(Yt) = n.(δ + n)/(δ + n -s) (1/yt)
at kt* = s/(δ + n -s), yt* = kt* + 1
so yt* = s/(δ + n -s) + 1 = (s + δ + n -s)/(δ + n -s) = (δ + n)/(δ + n -s)
thus, g(Yt) = n.(δ + n)/(δ + n -s) (1/yt) = n.(δ + n)/(δ + n -s) ((δ + n -s)/(δ + n)) = n
therefore, in steady state Yt grows at rate n.
Number of Days Past Due Toot Auto Supply distributes new and used automobile parts to local dealers throughout the Midwest. Toot’s credit terms are n/30. As of the end of business on October 31, the following accounts receivable were past due: Account Due Date Amount Avalanche Auto August 15 $12,000 Bales Auto October 4 2,400 Derby Auto Repair June 26 3,900 Lucky's Auto Repair September 10 6,600 Pit Stop Auto September 24 1,100 Reliable Auto Repair July 2 9,750 Trident Auto August 25 1,800 Valley Repair & Tow May 23 4,000 Determine the number of days each account is past due as of October 31. Account Due Date Number of Days Past Due Avalanche Auto August 15 Bales Auto October 4 Derby Auto Repair June 26 Lucky's Auto Repair September 10 Pit Stop Auto September 24 Reliable Auto Repair July 2 Trident Auto August 25 Valley Repair & Tow May 23
Answer:
Check the explanation
Explanation:
Account Due Date Number of Days Past Due
Avalanche Auto August 15 (23+30+31)=84 days
Bales Auto October 4 20 days
Derby Auto Repair September 24 (7+31+31+30+31)=130 days
Lucky's Auto Repair September 24 (28+31)=59 days
Pit Stop Auto September 19 (11+31)=42 days
Reliable Auto Repair July 15 (16+31+30+31)=108 days
Trident Auto August 25 (7+30+31)=68 days
Valley Repair & Tow May 28 (14+30+31+31+30+31)=167 days
Wayne Industries is building a new prototype riding lawnmower especially for women. The marketing strategy for the product has been developed and presented. The lawnmower is now being tested rigorously. This step will ensure that the product meets all the CPSC product specifications and leaves little chance for any product liability issues. Which step int he new product development process is this?
A) After this stage, no changes can be made in any aspect of the product design, features, or composition.
B) At this stage, the functional features and the intended psychological characteristics are combined.
C) The new product at this stage can be distributed through a full-scale roll-out immediately.
D) The new lawnmower is at the introductory stage of the lifecycle.
E) The new-product idea is at the last stage of the development process.
Answer:
The answer is option E) The new-product idea is at the last stage of the development process.
Explanation:
The are several stages in the development of a new product idea. Beginning with initial idea generation all the way to the final evaluation stage.
The new prototype riding lawnmower especially for women designed by Wayne Industries is at the last stage of the development process.
The last stage of the development process also known as the Evaluation phase is characterized by:
Presenting the marketing strategy developed for the product.ensuring that the product meets all the CPSC product specifications and leaves little chance for any product liability issues.The requirement that certain professionals possess a license in order to work in a particular market has the effect of reducing the supply of those services, which in turn causes _________.
O price and the profits of firms in the market to increase.
O price to decrease and the profits of firms in the market to increase.
O price to increase and the profits of firms in the market to decrease.
O price and the profits of firms in the market to decrease.
Answer:
C
Explanation:
The correct option is C :price to increase and the profits of firms in the market to decrease
This can be explained by the fact that, since it always been mandatory to possess a license in order to work in a particular market. This certainly reduces the competition in the market and thus, the prices would increase; therefore, as the firms have to pay for licence thus would reduce the profits of firm.
Your aunt is about to retire, and she wants to sell some of her stock and buy an annuity that will provide her with income of $53,000 per year for 30 years, beginning a year from today. The going rate on such annuities is 7.25%. How much would it cost her to buy such an annuity today
Answer:
Present Value= $641,494.12
Explanation:
Giving the following information:
Cash flow= $53,000 per year
Number of years= 30 years
Interest rate= 7.25%
First, we need to calculate the final value of the annuity:
FV= {A*[(1+i)^n-1]}/i
A= annual flow
FV= {53,000*[(1.0725^30)-1]} / 0.0725
FV= $5,237,351.32
Now, we can determine the present value:
PV= FV/(1+i)^n
PV= 5,237,351.32/ (1.0725^30)
PV= $641,494.12
Now consider the case in which the manufacturer offers a marginal unit quantity discount for the plywood. The first 20,000 square feet of any order are sold at $1 per square foot, the next 20,000 square feet are sold at $0.98 per square foot, and any quantity larger than 40,000 square feet is sold for $0.96 per square foot. What is the optimal lot size for Prefab given this pricing structure? How much cycle inven
Answer:
Explanation:
We can use the following method to solve the given problem
We are given following
Annual demand,
D = 20000*12
D = 240,000 sqft
Fixed order cost, is given as
S = $ 400
Considering the unit cost, is given as
C = $ 1
Holding cost, H = 1*20% = $ 0.2
EOQ = sqrt(2DS/H)
= √(2*240000*400/0.2)
= 30,984 sq ft
This is higher than 20,000 and less than 40,000 sq ft. For this reason, the applicable price for this quantity is $ 0.98
For C = $ 0.98, holding cost, H = 0.98*20% = $ 0.196
Revised EOQ = sqrt(2*240000*400/0.196) = 31,298 sq ft
Total annual cost of EOQ policy = D*C + H*Q/2 + S*D/Q
= 240000*0.98 + 0.196*31298/2 + 400*240000/31298
= $ 241,334.5
Now consider the next level of price, C = $ 0.96
Holding cost, H = 0.96*20% = $ 0.192
EOQ = sqrt(2*240000*400/0.192)
= 31633 sqft
This amount is will not be feasible for this price, because it requires a minimum order of 40000 sqft.
Therefore, Q = 40,000
Total annual cost = 240000*0.96 + 0.192*40000/2 + 400*240000/40000
Total annual cost = $ 236,640
Total annual cost is lowest for order quantity of 40,000 sq ft.
1) Optimal lot size = 40,000 sq ft.
2) the annual cost of this policy
= $ 236,640
3) the cycle inventory of plywood at Prefab = Q/2 = 40000/2
At prefeb= 20,000 sq ft
4) let's assume the manufacturer sells all plywood at $ 0.96, then
Holding cost, H = 0.96*20%
H= $ 0.192
EOQ = sqrt(2*240000*400/0.192)
EOQ = 31633 sqft
Total annual cost = 240000*0.96 + 0.192*31633/2 + 400*240000/31633
Total annual cost = $ 236,471.6
Difference in total annual cost = 236640 - 236471.6 = $ 168.4
A Company manufactures clay molded pottery on an assembly line. Its standard costing system uses two cost categories, direct materials and conversion costs. Each product must pass through the Molding Department and the Finishing Department. Direct materials are added at the beginning of the production process. Conversion costs are allocated evenly throughout production. Data for the Assembly Department for August 2017 are: Work in process, beginning inventory: 3000 units Direct materials (100% complete) Conversion costs (40% complete) Units started during August 695 units Work in process, ending inventory: 500 units Direct materials (100% complete) Conversion costs (65% complete) Costs for August: Standard costs for Assembly: Direct materials $15 per unit Conversion costs $35.50 per unit Work in process, beginning inventory: Direct materials $12,400 Conversion costs $9450 What is the balance in ending work-in-process inventory
Answer:
Ending work-in-process inventory is $19,037.50
Explanation:
First Determine the Equivalent Units in ending work-in-process inventory in terms of direct materials and conversion costs
Direct materials ( 500 units × 100%) = 500 units
Conversion costs (500 units × 65%) = 325 units
Then determine the Value of ending work-in-process inventory
Direct materials ( 500 units × $15) = $ 7,500.00
Conversion costs (325 units × $35.50) = $ 11,537.50
Total = $19,037.50
Conclusion
Therefore, ending work-in-process inventory is $19,037.50
