Answer:
The simple rate of return= 53.2%
Explanation:
Annual Return from the old machine 132,500 - 88,100= 44,400
Annual return from the sale of the old machine =21,100/9=2433.333333
Total annual return - 2433.33 + 44,400 =46833.33
Average investment = $(792,900 + 0)/9 = 88100
Simple average return = average annul return/ Average investment
Average investment = (Initial cost + salvage value)/2
Simple average return = (46,833.33/ 88,100) × 100 = 53.159
The simple rate of return= 53.2%
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)
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
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
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
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 required reserve ratio is 0.05. If the Federal Reserve buys $1,000,000 worth of bonds from a bond dealer who has her account at Bank XYZ above and she deposits the entire $1,000,000 into a checking account at Bank XYZ, what will be the new required and excess reserves for this bank (assume no new loans are made)? (Remember that required reserves are found by applying the required reserve ratio to the amount of total checkable deposits.)
Missing information:
total deposits in bank XYZ = $4,000,000
total reserves = $3,800,000
Answer:
the required reserve = $250,000
excess reserves = $4,550,000
Explanation:
required reserve ratio = 5%
the Fed buys $1,000,000 worth of bonds
the $1,000,000 are deposited entirely in bank XYZ
total checkable deposits will increase to $5,000,000
the required reserve = $5,000,000 x 5% = $250,000
excess reserves = total checkable deposits - total loans - required reserves = $5,000,000 - $200,000 - $250,000 = $4,550,000
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.
Consider two ways of commuting in a crowded city: taking public transportation, such as subway and buses, or driving your own car.
A person who chooses to take public transportation in a crowded city imposes a _________ externality on drivers. A policy implication of this result is a _________ those who take public transportation.
Persons who choose to drive their own cars to get around in a crowded city impose a _______ externality on other drivers. A policy implication of this result is a ________ those who drive their own cars.
Answer:
Positive; Subsidy for
Negative; Tax on
Explanation:
An externality is the economic term that describes a cost or benefit incurred or received by a third party, over which said party has no control over its development.
When externalities result in a benefit for a certain group they are said to be positive and when it is detrimental it is said to be negative.
Taking public transportation in a crowded city is benefitial to drivers making this a positive externality. In order to encourage people to take public transportation, a subsidy for those who take transportation may be adopted.
On the other hand, people who choose to drive their own car impose a negative externality and may encourage a tax on those who drive their own car.
The FI Corporation’s dividends per share are expected to grow indefinitely by 5% per year. a. If this year’s year-end dividend is $8 and the required rate of return is 10% per year, what must the current stock price be according to the DDM? b. If the expected earnings per share are $12, what is the value of the ROE on the firm’s investment opportunities? c. How much is the market paying per share for growth opportunities?
Answer and Explanation:
The computation is shown below:
a. The current stock price is
As we know that
Current stock price = (Dividend) ÷ (Required rate of return - growth rate)
= ($8) ÷ ( 10% - 5%)
= $160
b. Now the value of the ROE on the firm’s investment opportunities is
Given that
Dividend = $8
And,
The payout ratio = Dividend ÷ Earning per share
= $8 ÷ $12
= 0.666666666666667
And, retention ratio (b) is
= 1- 0.666666666666667
= 0.333333333333333
In addition to it
indefinite growth rate (g) = 5%
So, the ROE is
= Growth rate ÷ retention ratio
= 0.15 ÷ 0.3333
= 15%
c. And, the market paying per share is
PVGO = Price - Earning per share ÷ required rate of return
where,
PVGO = Present Value of Growth Opportunity
So, the market paying per share is
= $160 - $12 ÷ 10%
= $160 - $120
= $40
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
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, 2019, Broker Corp. issued $2,200,000 par value 9%, 9-year bonds which pay interest each December 31. If the market rate of interest was 11%, what was the issue price of the bonds? (The present value factor for $1 in 9 periods at 9% is 0.4604 and at 11% is 0.3909. The present value of an annuity of $1 factor for 9 periods at 9% is 5.9952 and at 11% is 5.5370.)
Answer:
$ 1,956,306.00
Explanation:
The issue price of the bonds issued is the present value of all cash flows promised by the bonds discounted using the market interest rate of 11%.
The cash flows which comprise of annual coupon payment for nine years as well as the repayment of the face value at the end of the ninth year as computed thus:
annual coupon payment=face value*coupon rate=$2,200,000*9%=$198,000.00
The present value of $198,000 for nine years= 198,000*5.5370=$ 1,096,326
The present of $2,200,000 at the end of nine years=0.3909*2,200,000=$ 859,980.00
Total present values=$ 859,980+$ 1,096,326=$1,956,306.00
The single milling machine at Stout Manufacturing was severely overloaded last year. The plant operates eight hours per day, five days per week, and 50 weeks per year. Management prefers a capacity cushion of 15 percent. Two major types of products are routed through the milling machine. The annual demand for product A is 3000 units and 2000 units for product B. The batch size for A is 20 units and 40 units for B. The standard processing time for A is 0.5 hours/unit and 0.8 hours/unit for B. The standard setup time for product A is 2 hours and 8 hours for product B. How many new milling machines are required if Stout does not resort to any short-term capacity options
Answer:
If we assumes we setup machine for product A x times, and B y times, the total hours required is 0.5*3000 + 0.8*2000+ 2*x + 8 *y = 3100+2x+8y. Notice that due to the capacity restriction x has to be no smaller than 150 hours (3000/20) and y has to be no smaller than 50 hours (2000/40). so total required hours must exceed 3100+2*150+8*50=3800. The management prefer a 15% capacity cushion, which means the total duration prepared for the processing should be at least 3800*(1+15%)=4370 hours.
If one machine operates eight hours per day, five days per week and 50 weeks a year, it operates 5*8*50 = 2000 hours in total.
That's why we need 2 more machines ( 3 machines in total since 4370 > 2*2000).
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.
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
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
As the marginal propensity to consume (MPC) increases, the multiplier increases. decreases. remains the same. As the marginal propensity to save (MPS) increases, the multiplier decreases. remains the same. increases. If the marginal propensity to consume is 0.40 , what is the multiplier, assuming there are no taxes or imports
Answer: 1. Increases
2. Decreases
3. 1.67
Explanation:
The formula for the Investment Multiplier is,
= 1/ ( 1 - MPC)
From this formula, inferences can therefore be made.
1. As the marginal propensity to consume (MPC) increases, the Multiplier INCREASES.
As the MPC increases, it will reduce the denominator therefore increasing the Multiplier.
2. As the marginal propensity to save (MPS) increases, the multiplier DECREASES.
The Marginal Propensity to Save is ( 1 - MPC) because what isn't consumed is saved.
The MPS is therefore the denominator of the Multiplier equation.
That means then that as it rises, the Multiplier Decreases.
3. The Formula for the Investment Multiplier is, = 1 / ( 1 - MPC)
= 1 / ( 1 - 0.40)
= 1.67
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
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
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
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
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.
Starbuck Corporation had a net income of $250,000 and paid dividends to common stockholders of $50,000 in Year 1. The weighted average number of shares outstanding in Year 1 was 50,000 shares. Starbuck Corporation's common stock is selling for $40 per share on the New York Stock Exchange. Starbuck's dividend payout ratio for Year 1 is _____. (Round your answer to three decimal places.)
Answer:
20%
Explanation:
The payout ratio can either computed as dividend per share divided by earnings per share or total dividends paid to common stock holders divided by net income for the year.
using the latter formula,the payout ratio of Starbuck Corporation is computed thus:
dividend payout ratio=dividends paid/net income
dividends paid to common stock holders were $50,000
net income for Starbuck for the year was $250,000
dividend payout ratio=$50,000/$250,000=20%
General cultural factors driving global business are
A. the rise of a global workforce, global economies of scale, and global production and operations.
B. growth of a global village spurred by television, the Internet, and computerization.
C. the rise of the global workforce, political stability, and a global knowledge base.
D. global communication and transportation technologies, a global knowledge base, and global social norms.
E. the development of global markets, political stability, and a global workforce.
Answer:
D. global communication and transportation technologies, a global knowledge base, and global social norms.
Explanation:
Global business management process involves identifying, analyzing and planning a business at the international level.
General cultural factors driving global business are global communication and transportation technologies, a global knowledge base, and global social norms.
When starting up a business with the intention to break into the global market successfully, it is important and necessary to ensure the cultural factors driving a business are well managed.
The business should ensure it creates a medium for effective communication by using both the traditional and digital media such as television, radio, billboards, blogs etc. Efficient means of transportation or logistics should be developed for smooth export of their goods and services.
Also, having a well informed knowledge of their niche is key to the success of the business.
Lastly, the business should abide with the global social norms.
The five-step procedure designed by ethics consultant Leonard H. Bucklin of Corporate-Ethics. US for investigating and solving ethics problems is known as a. the Bucklin Method. b. the Ethical Investigation Protocol. c. Business Process Pragmatism. d. Ethical Decision Determination.
The correct answer is C. Business Process Pragmatism
Explanation:
Leonard H. Bucklin was a recognized American attorney mainly known for his texts about laws, ethics, and related topics. In the field of Corporate-Ethics Bucklin designed a method with five different stages to deal with ethical problems. This method was known as the Business Process Pragmatism as it was a systematic approach to deal with ethical issues in business. Moreover, this method involved inquiring about the problem, discussing important aspects and possible solutions, deciding or selecting the best solution, justifying the solution, and evaluating the outcome.
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
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
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
Mercredi, Inc., is considering investing in automated equipment with a ten-year useful life. Managers at Highpoint have estimated the cash flows associated with the tangible costs and benefits of automation, but have been unable to estimate the cash flows associated with the intangible benefits. Using the company's 14% required rate of return, the net present value of the cash flows associated with just the tangible costs and benefits is a negative $182,560. How large would the annual net cash inflows from the intangible benefits have to be to make this a financially acceptable investment? (Ignore income taxes.)
Answer:
$35,000
Explanation:
The computation of the annual net cash inflows from the intangible benefits is shown below:
= Tangibles cost and benefits ÷ PVIFA factor at 14% for 10 years
= $182,560 ÷ 5.2161
= $35,000
Refer to the PVIFA table
We simply divided the tangible cost from the PVIFA factor so that the correct amount could come
