Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon’s customers make reservations through Epsilon’s website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon’s management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows:
Day Minimum Number of Employees Needed
Monday 75
Tuesday 90
Wednesday 50
Thursday 60
Friday 45
Saturday 75
Sunday 50
The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the schedule cycles and ignore start up and stopping of the schedule.
Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements.
Let Xi = the number of call center employees who start work on day i
(i = 1 = Monday, i = 2 = Tuesday...)
Min X1 + X2 + X3 + X4 + X5 + X6 + X7
s.t.
X1 + X4 + X5 + X6 + X7
X1 + X2 + X5 + X6 + X7
X1 + X2 + X3 + X6 + X7
X1 + X2 + X3 + X4 + X7
X1 + X2 + X3 + X4 + X5
X2 + X3 + X4 + X5 + X6
X3 + X4 + X5 + X6 + X7
X1, X2, X3, X4, X5, X6, X7
Find the optimal solution.
X1 =
X2 =
X3 =
X4 =
X5 =
X6 =
X7 =
Total Number of Employees =
Give the number of call center employees that exceed the minimum required.
Excess employees:
Monday =
Tuesday =
Wednesday =
Thursday =
Friday =
Saturday =
Sunday =

Answers

Answer 1

Answer:

Let x1 is number of employees that start on Monday

x2 is number of employees that start on Tuesday

x3 is number of employees that start on Wednesday

x4 is number of employees that start on Thursday

x5 is number of employees that start on Friday

x6 is number of employees that start on Saturday

x7 is number of employees that start on Sunday

So objective function will be

Minimise Z =x1+x2+x3+x4+x5+x6+x7

Explanation:

Let x1 is number of employees that start on Monday

x2 is number of employees that start on Tuesday

x3 is number of employees that start on Wednesday

x4 is number of employees that start on Thursday

x5 is number of employees that start on Friday

x6 is number of employees that start on Saturday

x7 is number of employees that start on Sunday

So objective function will be

Minimise Z =x1+x2+x3+x4+x5+x6+x7

Subject to constraints

Monday workforce-Those starting on Tuesday and Wednesday will be on leave

x1+x4+x5+x6+x7>=55

Tuesday workforce-Those starting on Wednesday and Thursday will be on leave

x1+x2+x5+x6+x7>=80

Wednesday workforce-Those starting on Thursday and Friday will be on leave

x1+x2+x3+x6+x7>=50

Thursday workforce-Those starting on Friday and Saturday will be on leave

x1+x2+x3+x4+x7>=75

Similarly for Friday

x1+x2+x3+x4+x5>=45

Saturday

x2+x3+x4+x5+x6>=60

Sunday

x3+x4+x5+x6+x7>=50

Solution obtained from solver is

Z=90 , minimum employee to be kept

The number of employees starting each day is obtained as

Monday 5

Tuesday 35

Wednesday 0

Thursday 10

Friday 0

Saturday 15

Sunday 25

Answer 2

The optimal solution would be as follows:

[tex]X1 =[/tex] 5

[tex]X2 =[/tex] 35

[tex]X3 =[/tex] 0

[tex]X4 =[/tex] 10

[tex]X5 =[/tex] 0

[tex]X6 =[/tex] 15

[tex]X7 =[/tex] 25

Total employees [tex]= 90[/tex]

Employees

As per the question,

Assuming

[tex]X1[/tex] as the no. of employees beginning on Monday

[tex]X2[/tex] as the no. of employees beginning on Tuesday

[tex]X3[/tex] as the no. of employees beginning on Wednesday

[tex]X4[/tex] as the no. of employees beginning on Thursday

[tex]X5[/tex] as the no. of employees beginning on Friday

[tex]X6[/tex] as the no. of employees beginning on Saturday

[tex]X7[/tex] as the no. of employees beginning on Sunday

So,

[tex]Z = X1+X2+X3+X4+x=X5+X6+X7[/tex]

Constraints

On Monday = One who begins the work on Tuesday and Wednesday would be on leave.

[tex]X1+X4+X5+X6+X7>=55[/tex]

On Tuesday = One who begins the work on Wednesday and Thursday would be on leave.

[tex]X1+X2+X5+X6+X7>=80[/tex]

On Wednesday One who begins the work on Thursday and Friday would be on leave.

[tex]X1+X2+X3+X6+X7>=50[/tex]

On Thursday, One who begins the work on Friday and Saturday would be on leave.  

[tex]X1+X2+X3+X4+X7>=75[/tex]

On Friday also,

[tex]X1+X2+X3+X4+X5>=45[/tex]

Saturday

[tex]X2+X3+X4+X5+X6>=60[/tex]

Sunday

[tex]X3+X4+X5+X6+X7>=50[/tex]

So,

[tex]Z = 90[/tex]

The no. of employees would be:

[tex]X1 = Monday = 5\\X2 = Tuesday = 35\\X3 = Wednesday = 0\\X4 = Thursday = 10\\X5 = Friday = 0\\X6 = Saturday = 15\\X7 = Sunday = 25[/tex]

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Related Questions

Zugar Company is domiciled in a country whose currency is the dinar. Zugar begins 2017 with three assets: cash of 28,200 dinars, accounts receivable of 82,000 dinars, and land that cost 220,000 dinars when acquired on April 1, 2016. On January 1, 2017, Zugar has a 170,000 dinar note payable, and no other liabilities. On May 1, 2017, Zugar renders services to a customer for 140,000 dinars, which was immediately paid in cash. On June 1, 2017, Zugar incurred a 120,000 dinar operating expense, which was immediately paid in cash. No other transactions occurred during the year. Currency exchange rates for 1 dinar follow:

April 1, 2016 $0.53 = 1 dinar
January 1, 2017 0.56 = 1
May 1, 2017 0.57 = 1
June 1, 2017 0.59 = 1
December 31, 2017 0.61 = 1
Assume that Zugar is a foreign subsidiary of a U.S. multinational company that uses the U.S. dollar as its reporting currency. Assume also that the dinar is the subsidiary’s functional currency. What is the translation adjustment for this subsidiary for the year 2017?

Assume that Zugar is a foreign subsidiary of a U.S. multinational company that uses the U.S. dollar as its reporting currency. Assume also that the U.S. dollar is the subsidiary’s functional currency. What is the remeasurement gain or loss for 2017?

Assume that Zugar is a foreign subsidiary of a U.S. multinational company. On the December 31, 2017, balance sheet, what is the translated value of the Land account? On the December 31, 2017, balance sheet, what is the remeasured value of the Land account?

(Input all amounts as positive.)

Answers

Answer:

Accounts Amount (in Dinar)

Cash_________________28,000

Accounts Receivable_____82,000

Land________________220,000

Total Assets__________330.000

Less: Notes Payable___(170,000)

Net Assets___________160,000





The translation adjustment for this subsidiary for the year 2017?

Particulars Amount in Dinar Translation Rate Amount in Dollar

Net assets, 1/1_______160,000__________0.50_______80,000

Add: Rendered services_140,000________0.57________79,000

Less: Incurred expense _(120,000)________0.59_______(70,800)

Net assets, 12/31_______180.000___________________88,200

Net assets, 12/31 at current__180,000______0.61_______109.800

Translation adjustment (positive) ____________________(21,600)



What is the remeasurement gain or loss for 2017

Particulars Amount in Dinar Translation Rate Amount in Dollar

Net Monetary Asset, 1/1 __28,000________0.56_______15,680.00

Add: Rendered services_140,000________0.57________79,000

Less: Incurred expense _(120,000)________0.59_______(70,800)

Add:Accounts Receivable_80,000________0.56______44,800

Less: Accounts Payable_(170,000)________0.56_____(95,200)

Net monetary assets, 12/31_(42,000)______________(26,540.00)

Net monetary assets, 12/31 at current exchange rate

(42,000)_________0.61____(25,620)

Remeasurement gain - - 920.00





Translated value of land is $134,200 ( derived from 220,000 dinar x 0.61)

Remeasured value of land is $116,600 (derived from 220,000 dinar x 0.53)

Explanation:

Accounts Amount (in Dinar)

Cash_________________28,000

Accounts Receivable_____82,000

Land________________220,000

Total Assets__________330.000

Less: Notes Payable___(170,000)

Net Assets___________160,000





The translation adjustment for this subsidiary for the year 2017?

Particulars Amount in Dinar Translation Rate Amount in Dollar

Net assets, 1/1_______160,000__________0.50_______80,000

Add: Rendered services_140,000________0.57________79,000

Less: Incurred expense _(120,000)________0.59_______(70,800)

Net assets, 12/31_______180.000___________________88,200

Net assets, 12/31 at current__180,000______0.61_______109.800

Translation adjustment (positive) ____________________(21,600)



What is the remeasurement gain or loss for 2017

Particulars Amount in Dinar Translation Rate Amount in Dollar

Net Monetary Asset, 1/1 __28,000________0.56_______15,680.00

Add: Rendered services_140,000________0.57________79,000

Less: Incurred expense _(120,000)________0.59_______(70,800)

Add:Accounts Receivable_80,000________0.56______44,800

Less: Accounts Payable_(170,000)________0.56_____(95,200)

Net monetary assets, 12/31_(42,000)______________(26,540.00)

Net monetary assets, 12/31 at current exchange rate

(42,000)_________0.61____(25,620)

Remeasurement gain - - 920.00





Translated value of land is $134,200 ( derived from 220,000 dinar x 0.61)

Remeasured value of land is $116,600 (derived from 220,000 dinar x 0.53)

In a market without price controls, producers can charge the _____, so that consumers will buy all of their products. I Need Help Please!!

surplus price
shortage price
equilibrium price

Answers

Answer:

equilibrium price

Explanation:

At the equilibrium point, the market does not experience a shortage or excess in either demand or supply. The quantity demanded matches the quantity supplied.  The equilibrium price is the price at the equilibrium point where demand and supply meet.

Because there are no shortages or excesses at the equilibrium point, suppliers will sell all their products if they set a selling price equal to the equilibrium price. Buyers will purchase all the quantities supplied at the equilibrium price.

Beamish Inc., which produces a single product, has provided the following data for its most recent month of operations: Number of units produced 6,400 Variable costs per unit: Direct materials $ 60 Direct labor $ 54 Variable manufacturing overhead $ 4 Variable selling and administrative expense $ 17 Fixed costs: Fixed manufacturing overhead $ 236,800 Fixed selling and administrative expense $ 492,800 There were no beginning or ending inventories. The absorption costing unit product cost was:

Answers

Answer:

$155 per unit

Explanation:

Calculation for what The absorption costing unit product cost was:

Using this formula

Absorption costing unit product cost = Direct material + Direct labour + Variable manufacturing overheads + (Fixed manufacturing overheads / Number of units produced)

Let plug in the formula

Absorption costing unit product cost = $60+ $54+ $4 + ( $ 236,800/6,400 )

Absorption costing unit product cost =$60+ $54+ $4 + $37

Absorption costing unit product cost = $155 per unit

Therefore The absorption costing unit product cost was:$155 per unit

Which is a true statement?
O A real interest rate that is equal to current inflation is desirable,
O A real interest rate that is higher than current inflation is desirable,
O A nominal interest rate that is equal to current inflation is desirable,
O A nominal interest rate that is lower than current inflation is desirable

Answers

Answer:

O A real interest rate that is higher than current inflation is desirable,

Explanation:

The real rate is the nominal rate of interest after considering the inflation rate.  The nominal rate is the interest rate quoted by financial institutions.  It shows the percentage of return expected on a deposit or loan. The inflation rate communicates the rate at which prices are increasing in the economy.

The real rate is equivalent to the nominal minus the inflation rate. An ideal situation is when the real rate is higher than the inflation rate. In such a situation, the rate of money growth is higher than the price increases. It means the invested amount will increase in value. At the end of a period, the invested amounts will buy more goods and services than

Answer:

A real interest rate that is higher than current inflation is desirable.

Explanation:

I did the test and got it right.

Discuss the economic landscape in Philippines?​

Answers

Answer:

Low economic mobility, poverty and income inequality, poor health care and nutrition.

Explanation:

Wilson Products uses a plantwide predetermined overhead rate of $10 per direct labor-hour. Direct material and direct labor associated with Job X23 are $4,000 and $1,200, respectively. If Job X23 used 100 direct labor-hours to produce 50 audio controllers, what is this job’s unit product cost (per audio controller)?

Answers

Answer:

the job unit product cost is $124

Explanation:

The computation of the job unit product cost is as follows:

= Total cost assigned ÷ number of audio controllers produced

= ($4,000 + $1,200 + $10 × 100) ÷ (50)

= ($4,000 + $1,200 + $1,000) ÷ (50)

= $6,200 ÷ 50

= $124

hence the job unit product cost is $124

Suppose Suzuki has the following demand and supply function for Cultus VXL: Qd = 55 - 5P Qs = -50 + 10P After the government decided to impose tax on the production of Cultus VXL, the new supply function: Qs = -60 + 10P Given the information above answer the following questions: Find out the equilibrium price and quantity before tax. Find consumer and producer surplus before tax. Determine government revenue and dead weight loss after tax.

Answers

Answer:

Explanation:

From the information given:

The equilibrium price before tax creates an intersection between the demand and supply.

Qd = 55 -5 P    Qs = -50 + 10 P

i.e.

55 - 5P = -50 + 10P

55 + 50 = -5P +10P

110 = 5P

P = 110 / 5

P' = 7

replacing the value of P into the demand equation; we have

Qd = 55 - 5P

Qd = 55 - 5(7)

Qd = 55 - 35

Q' = 20

This tells us that the equilibrium quantity = 20 prior to the equilibrium price which is 7 before tax.

Consumer Surplus = [tex]\dfrac{1}{2} Q' \times (P-P')[/tex]

= [tex]\dfrac{1}{2}\times 20 \times (11 -7)[/tex]        (∵ if P is the intercept of the demand and Q is set to be 0, P =11)

Consumer Surplus = 40

Producer surplus = [tex]\dfrac{1}{2}Q^*(P^*-P')[/tex]

here;

P' = y-intercept of supply curve = 5 since we set Qs to be 0

[tex]=\dfrac{1}{2}\times 20 \times (7-5)[/tex]

Producer surplus = 20

Thus prior to commencement of the tax consumer surplus and producer surplus are 40 and 20 respectively.

After-tax:

Qd = 55 - 5p      Qs = -60 + 10 P

55 -5 P = -60 + 10 P

115 = 15P

P** = 23/3

Replacing this into the demand

Qd = 55 - 5P

Qd = 55 - 5(23/3)

Qd = 50/3

Thus, after-tax equilibrium quantity = 50/3 and equilibrium pric = 23/3.

Government revenue = (Tax)Q**

Here;

Q** = (P** - P'')

i.e.

P**  = after tax equilibrium price

P'' = price suppliers received when Q** is determined in the previous supply curve =20/3

Government Tax revenue = (23/3 - 20/3) × 50/3

Government Tax revenue = 50/3

Dead weight loss = 1/2 × Tax × (Q* - Q**)

Dead weight loss  [tex]=\dfrac{1}{2} * (\dfrac{23}{3} -\dfrac{20}{3}) * (20 -\dfrac{250}{3})[/tex]

Dead weight loss  = 5/3

The unit of measure concept a.is only used in the financial statements of manufacturing companies b.requires that economic data be reported in yen in Japan or dollars in the United States c.requires that different units be used for assets and liabilities d.is not important when applying the cost concept

Answers

Answer: b.requires that economic data be reported in yen in Japan or dollars in the United States

Explanation:

The unit of measure concept simply has to do with the standard convention that is used whereby there must be thesame currency used in recording transactions that takes place.

The concept requires that economic data be reported in yen in Japan or dollars in the United States. Therefore, the correct option is A.

Schedule of Cost of Goods Manufactured and Sold
The following amounts are available for 2016 for Bourne Manufacturing Company:
Administrative salaries (non-factory) $105,000
Administrative rent (non-factory) 52,500
Advertising and promotion expense 61,500
Depreciation-administrative 33,000
Depreciation-factory 45,000
Depreciation-selling 25,500
Direct labor 262,500
Factory rent 27,000
Factory supplies used 18,000
Finished goods inventory (January 1) 85,500
Finished goods inventory (December 31) 78,000
Indirect material used 21,000
Indirect labor 28,500
Materials inventory (January 1) 19,500
Materials inventory (December 31) 30,000
Net delivered cost of materials purchased 207,000
Other factory overhead 39,000
Sales 1,267,500
Sales salaries expense 108,000
Work in process inventory (January 1) 27,000
Work in process inventory ( December 31) 46,500
Using the above data, prepare a schedule of cost of goods manufactured and sold.
Do not use negative signs with any of your answers.
Bourne Manufacturing Company
Schedule of Cost of Goods Manufactured and Sold
For the Year Ended December 31,2016
Direct material:
Beginning materials inventory Answer
Answer Answer
Cost of material available Answer
Less: Answer Answer
Total materials used Answer
Less: Answer Answer
Direct material used Answer
Direct labor Answer
Manufacturing overhead
Indirect material Answer
Indirect labor Answer
Factory supplies used Answer
Factory depreciation Answer
Factory rent Answer
Answer Answer
Total manufacturing overhead Answer
Total manufacturing costs for the year Answer
Add: Answer Answer
Total cost of work in process during the year Answer
Less: Answer Answer
Cost of goods manufactured Answer
Add: Answer Answer
Cost of goods available for sale Answer
Less: Answer Answer
Cost of goods sold Answer

Answers

Answer:

Answer:

Cost of goods sold Answer 604,500

Explanation:

Bourne Manufacturing Company

Schedule of Cost of Goods Manufactured and Sold

For the Year Ended December 31,2016

Direct material:

Beginning materials inventory Answer  (January 1) 19,500

Net delivered cost of materials purchased 207,000

Cost of material available Answer : 226500

Less: Materials inventory (December 31) 30,000

Total materials used Answer 196500

Less:   Indirect material used 21,000

Direct material used Answer  175,500

Direct labor Answer 262500

Manufacturing overhead

Other Factory Overhead 39000

Indirect material Answer 21000

Indirect labor Answer 28500

Factory supplies used Answer   18000

Factory depreciation Answer 45000

Factory rent Answer 27000

Total manufacturing overhead Answer  178500

Total manufacturing costs for the year Answer 616500

Add: Work in process inventory (January 1) 27,000

Total cost of work in process during the year 643,500

Less: Work in process inventory ( December 31) 46,500

Cost of goods manufactured  597000

Add: Finished goods inventory (January 1) 85,500

Cost of goods available for sale Answer 682,500

Less: Finished goods inventory (December 31) 78,000

Cost of goods sold Answer 604,500

We add and subtract  the amounts according to the schedule.

In this schedule the indirect material is deducted from the direct materials inventory and added to the factory overhead because it is not treated as a direct expense rather it is an indirect expense.

The following are not related to the cost of manufacturing of products and are excluded from the CGS.

Administrative salaries (non-factory) $105,000

Administrative rent (non-factory) 52,500

Advertising and promotion expense 61,500

Depreciation-administrative 33,000

Depreciation-selling 25,500

Sales 1,267,500

Sales salaries expense 108,000

These are included in the net income statement.

Problems and Applications
The quantity of coffee sold rose sharply last month, while the price remained the same. Five people suggest various explanations:
Sean: Demand increased, but supply increased at the same time.
Yvette: Demand increased, but supply was perfectly elastic.
Bob: Demand increased, but supply was perfectly inelastic.
Cho: Supply increased, but demand was perfectly elastic.
Eric: Supply increased, but demand was unit elastic.
Who could possibly be right?
A. Brian.
B. Crystal.
C. Edison.
D. Hilary.
E. Kevin.

Answers

Answer:

Sean: Demand increased, but supply increased at the same time

Explanation:

An increase in demand would lead to a rise in the quantity of coffee sold. This would lead to an increase in price and quantity of coffee demanded.

A rise in supply of coffee would lead to an increase in the quantity of coffee and a decrease in price of coffee.

Taking these two effects together, the effect of an increase in demand which led to a rise in price of coffee and the increase in the supply of coffee which lead to a fall in price would cancel each other and price would remain unchanged.

When growth is driven by factors inside the economy, it is said to be:_______

a. endogenous.
b. exogenous.
c. random.
d. unsustainable.
e. based on luck.

Answers

Answer: a. endogenous.

Explanation:

Endogenous growth refers to a phenomenon where growth in the economy is driven by internal factors instead of external ones.

The theory surrounding this type of growth supports investment in human capital in a nation because it believes that if the government and the private sector were to invest in human capital, there would be internal economic growth as the labor will become more productive.

Okay party tray which cost $14 to make not including labor was sold for $35 if two people work 8-hour shift make it the tree $7 per hour how many tree must be sold to cover all costs including labor

Answers

Answer:

2.67 trays

Explanation:

Calculation for how many trays must be sold to cover all costs including labor

First step is to calculate the Total Labor

Total labor = $7 per hour*8-hour shift

Total labor=56

Second step is to the profit per tray

Profit per tray=$35-$14

Profit per tray=$21

Now let calculate how many trays must be sold

Using this formula

Numbers of trays to be sold=Total labor/Profit per tray

Let plug in the formula

Numbers of trays to be sold=56/21

Numbers of trays to be sold=2.67 trays

Therefore the numbers of trays that must be sold to cover all costs including labor is 2.67 trays

Ed Flavorman, the chief executive of Flavor Best Ice Cream, believes that alternativeplans are almost as important as the primary operational plans because the market is so competitive and unpredictable. Ed endorses:

a. tactical planning.
b. retroactive planning.
c. concurrent planning.
d. contingency planning.

Answers

Answer:

D) contingency planning.

Explanation:

from the question we are informed about Ed Flavorman, the chief executive of Flavor Best Ice Cream, who believes that alternativeplans are almost as important as the primary operational plans because the market is so competitive and unpredictable. In this case Ed endorses contingency planning. Contingency planning can be regarded as a type of plan that is been set for an outcome instead of setting it up for usual plan. It is plan that is devices in risk management, and it is usually used by government as well as Businesses

Hot and Cold has annual sales of $982,000, annual depreciation of $127,000, and net working capital of $243,000. The tax rate is 34 percent and the profit margin is 6 percent. The firm has no interest expense. What is the amount of the operating cash flow

Answers

Answer:

$185,920

Explanation:

Calculation for What is the amount of the operating cash flow

Using this formula

Operating cash flow=(Sales *Profit margin)+Depreciation

Let plug in the formula

Operating cash flow=($982,000*6%)+$127,000

Operating cash flow=$58,920+$127,000

Operating cash flow=$185,920

Therefore the amount of the operating cash flow will be $185,920

Makers Corp. had additions to retained earnings for the year just ended of $298,000. The firm paid out $178,000 in cash dividends, and it has ending total equity of $4.83 million. The company currently has 140,000 shares of common stock outstanding.



What are earnings per share? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)



Earnings $ per share


What are dividends per share? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)


Dividends $ per share


What is the book value per share? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)


Book value $ per share


If the stock currently sells for $70 per share, what is the market-to-book ratio? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)



Market-to-book ratio times


What is the price-earnings ratio? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16.)



Price-earnings ratio times


If the company had sales of $4.27 million, what is the price-sales ratio? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)



Price-sales ratio times

Answers

Answer:

Makers Corp.

a. Earnings per share = $3.40

b. Dividends per share = $1,27

c. Book value per share = $34.50

d. Market to book ratio times = 2.03 times

e. Price-earnings ratio times = 20.59 times

f. Price-Sales ratio times = 2.30 times

Explanation:

a) Retained Earnings = $298,000

Cash Dividends paid =  $178,000

Total earnings =  $ 476,000 ($298,000 + $178,000)

Ending total equity = $4.83 million

Outstanding common stock = 140,000 shares

Earnings per share = $476,000/140,000 = $3.40 per share

Dividends per share = $178,000/140,000 = $1.27 per share

Book value per share = $4.83 million/140,000 = $34.50

Market-to-book ratio = $70/$34.50 = 2.03 : 1

Price-earnings ratio = $70/$3.40 = 20.59 : 1

Sales per share = $4.27 million /140,000 shares = $30.50

Price-sales ratio = $70/$30.50 = 2.30 : 1

A firm has $800 in inventory, $1,400 in fixed assets, $500 in accounts receivables, $100 in net working capital, and $50 in cash. What is the amount of the current liabilities

Answers

Answer:

Add it all Together?

Explanation:

2850?

Speedy Delivery Company purchases a delivery van for $36,000. Speedy estimates that at the end of its four-year service life, the van will be worth $6,400. During the four-year period, the company expects to drive the van 148,000 miles.

Required:
Calculate annual depreciation for the first two years using each of the following methods. Round all amounts to the nearest dollar.
1. Straight-line.
2. Double-declining-balance.
3. Activity-based.

Actual miles driven each year were 40,000 miles in year 1 and 46,000 miles in year 2.

Answers

Answer:

Straight line method

Year 1. $7,400

Year 2. $7,400

Double - Declining Balance method

Year 1= 18,000

Year 2= 9,000

Activity Based method

Year 1= 8,000

Year 2=9,200

Explanation:

Calculation for the annual depreciation for the first two years using Straight line method for year 1 & 2

STRAIGHT LINE METHOD

Year 1 =(36,000 - 6400) / 4 year

Year 1 =29,600/4 year

Year 1= 7,400

Year 2 =(36,000 - 6400) / 4 year

Year 2 =29,600/4 year

Year 2= 7,400

Calculation for the annual depreciation for the first two years using Double - Declining Balance method

DOUBLE DECLINE BALANCE METHOD

Year 1= (2/4) x (36,000 - 0)

Year 1= (2/4) x 36,000

Year 1= 18,000

Year 2= (2/4) x (36,000 - 18,000)

Year 2= (2/4) x18,000

Year 2= 9,000

Calculation for the annual depreciation for the first two years using Activity Based method

ACTIVITY BASED METHOD

Year 1= [ (36,000 - 6,400) / (148,000) ] x (40,000 miles)

Year 1=( 29,600/148,000)×40,000 miles

Year 1=0.2×40,000 miles

Year 1= 8,000

Year 2= [ (36,000 - 6,400) / (148,000) ] x (46,000 miles)

Year 2 =(29,600/148,000)×46,000 miles

Year 2=0.2×46,000 miles

Year 2 = 9,200

Therefore the annual depreciation for the first two years is:

Straight line method

Year 1. $7,400

Year 2. $7,400

Double - Declining Balance method

Year 1= 18,000

Year 2= 9,000

Activity Based method

Year 1= 8,000

Year 2=9,200

The following table describes the production possibilities of two cities in the country of Baseballia: Pairs of Red Socks per Worker per Hour Pairs of White Socks per Worker per HourBoston 3 6Chicago 5 4Without trade, the price of a pair of white socks (in terms of red socks) in Boston is_______ of red socks, and in Chicago it is ___________ of red socks. _________has an absolute advantage in the production of red socks, and _________ has an absolute advantage in the production of white socks. ___________has a comparative advantage in the production of red socks, and______ has a comparative advantage in the production of white socks. If the cities trade with each other, Boston will export _________socks, and Chicago will export _________socks. The price of white socks can be expressed in terms of red socks. The highest price at which white socks can be traded that would make both cities better off is _________of red socks per pair of white socks, and the lowest price that makes both cities better off is ________of red socks per pair of white socks.

Answers

Answer:

1. (0.5 pairs of red socks) and (1.25 pairs of red socks)

2.  (Chicago) and (Boston)

3. (Chicago) and (Boston)

4. (White socks) and (Red Socks)

5. (1.25) and (0.5)

Explanation:

Let's extract the meaning of data from the data given.

Boston produces 3 red socks per worker per hour and 6 white socks per worker per hour

B = 1 worker = 1 hour = produces 3 pairs Red Socks

B = 1 worker = 1 hour = produces 6 pairs white socks

Boston = whites socks in terms of red socks

6 white socks = 3 red socks

white socks = 3/6 red socks

white socks = 0.5 pairs of red socks.  It means, Boston will be producing double the amount of white socks than red socks. Hence, white socks production advantage in Boston.

Chicago = white socks in terms of red socks

4 white socks = 5 red socks

white socks = 5/4 red socks

white socks  = 1.25 red socks , it means Chicago will produce greater amount of red socks than white socks. Hence, red socks production advantage in Chicago.

C = 1 worker = 1 hour = produces 5 pairs Red socks

C = 1 worker = 1 hour = produces 4 pairs white socks

It means in Boston, we have advantage of producing white socks and in Chicago we have advantage of producing red socks.

Fill in the blanks:

1. (0.5 pairs of red socks) and (1.25 pairs of red socks)

2.  (Chicago) and (Boston)

3. (Chicago) and (Boston)

4. (White socks) and (Red Socks)

5. (1.25) and (0.5)

Swifty Corporation’s weekly payroll of $22,000 included FICA taxes withheld of $1,683, federal taxes withheld of $2,940, state taxes withheld of $840, and insurance premiums withheld of $230. Prepare the journal entry to record Swifty’s payroll. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually.)

Answers

Answer:

Date   Account Titles and Explanation       Debit       Credit

           Salaries Wages expense                $22,000  

                   Cash                                                             $16,307

                   Withholding taxes payable (2940+840)    $3,780

                   FICA taxes payable                                     $1,683

                   Insurance premiums payable                     $230

            (To record Swifty’s payroll)

For the current year, Power Cords Corp. expected to sell 42,000 industrial power cords. Fixed costs were expected to total $1,650,000; unit sales price was expected to be $3,750; and unit variable costs were budgeted at $2,250. Power Cords Corp.'s margin of safety (MOS) in units is:
A. 40,900.
B. 48,800
C. 39,000.
D. 32,500.
E. 36,100.

Answers

Answer:

A. 40,900

Explanation:

Calculation for what Power Cords Corp.'s margin of safety (MOS) in units is:

First step is to calculate the Break-even

Break-even units = $1,650,000/($3,750 - $2,250)

Break-even units= 1,100 units

Now let calculate the margin of safety (MOS) in units

Margin of Safety = 42,000 - 1,100

Margin of Safety= 40,900 units

Therefore Power Cords Corp.'s margin of safety (MOS) in units is:40,900

A primary reason for a company to change from traditional costing to activity-based costing (ABC) is that ABC:___________
A. Is a simpler costing method to use.
B. Identifies the nonvalue-added costs of production.
C. Reduces product undercosting or overcosting.
D. Eliminates indirect cost application to products.

Answers

Answer:

C. Reduces product undercosting or overcosting.

Explanation:

Cost-volume-profit analysis is also known as the break even analysis, it is an important tool in predicting the volume of activity, the costs to be incurred, the sales to be made, and the profit to be earned is. It is used to determine how changes in differing levels of activities such as costs and volume affect a company's operating income and net income.

A primary reason for a company to change from traditional costing to activity-based costing (ABC) is that ABC reduces product undercosting or overcosting. One of the most widely used activity-based costing technique is the time-driven activity-based costing.

Time-driven activity-based costing (TDABC) avails business owners the opportunity of reporting their costs on an ongoing basis (real time) which give details about the various cost of doing business, as well as the time spent on them respectively.

This ultimately implies that, TDABC gives entrepreneurs or employers all the necessary information on the actual cost of manufacturing, service delivery and other tasks associated with the business. Under the TDABC, the relationship between time and cost measurement is used to determine the cost price of goods and services.

Time-driven activity-based costing (TDABC) does not assume employees will self-report idle time but it overcomes some important limitations of activity-based costing (ABC) because it can be used by both the employees and their employers.

Simon Company’s year-end balance sheets follow.

At December 31 Current Yr 1 Yr Ago 2 Yrs Ago
Assets

Cash $31,800 $35,625 $37,800
Accounts receivable, net 89,500 62,500 50,200
Merchandise inventory 112,500 82,500 54,000
Prepaid expenses 10,700 9,375 5,000
Plant assets, net 278,500 255,000 230,500
Total assets $523,000 $445,000 $377,500


Liabilities and Equity:

Accounts payable $129,900 $75,250 $51,250
Long-term notes payable secured by
mortgages on plant assets 98,500 101,500 83,500
Common stock, $10 par value 163,500 163,500 163,500
Retained earnings 131,100 104,750 79,250
Total liabilities and equity $523,000 $445,000 $377,500

Required:
a. Express the balance sheets in common-size percents.
b. Assuming annual sales have not changed in the last three years, is the change in accounts receivable as a percentage of total assets favorable or unfavorable?
c. Assuming annual sales have not changed in the last three years, is the change in merchandise inventory as a percentage of total assets favorable or unfavorable?

Answers

Answer:

Simon Company

a. Expressing the balance sheets in common-size percents:

Simon Company's Year-end Balance Sheet:

At December 31               Current Yr  %       1 Yr Ago    %      2 Yrs Ago   %

Assets

Cash                                    $31,800    6%   $35,625     8%    $37,800   10%

Accounts receivable, net    89,500   17%      62,500    14%     50,200 13.3%

Merchandise inventory      112,500  22%      82,500    19%     54,000 14.3%

Prepaid expenses                10,700    2%         9,375     2%       5,000   1.3%

Plant assets, net               278,500   53%   255,000   57%  230,500  61.1%

Total assets                   $523,000  100% $445,000 100% $377,500  100%

Liabilities and Equity:

Accounts payable             $129,900 25%   $75,250    17%      $51,250  14%

Long-term notes payable    98,500  19%     101,500   23%      83,500  22%

Common stock, $10

par value                            163,500 31%     163,500   37%     163,500   43%

Retained earnings               131,100 25%     104,750   23%      79,250   21%

Total liabilities & equity $523,000 100% $445,000 100%  $377,500 100%

b. The change in accounts receivable has been unfavorable.  It has increased year on year, showing that the management has not improved on its collection policies and practices.  This conclusion is based on the assumption that annual sales have not changed in the last three years.

c. The change in merchandise inventory has been unfavorable.  It has increased in its percentages over total assets over the last three years.  It shows that the management is increasingly keeping excess inventory.  Again, this conclusion is based on the assumption that annual sales have not changed in the last three years.

Explanation:

a) Data and Calculations:

Simon Company's Year-end Balance Sheet:

At December 31               Current Yr           1 Yr Ago             2 Yrs Ago

Assets

Cash                                   $31,800              $35,625              $37,800

Accounts receivable, net   89,500                 62,500               50,200

Merchandise inventory     112,500                 82,500                54,000

Prepaid expenses               10,700                    9,375                 5,000

Plant assets, net              278,500               255,000             230,500

Total assets                   $523,000            $445,000            $377,500

Liabilities and Equity:

Accounts payable          $129,900              $75,250              $51,250

Long-term notes payable 98,500                101,500               83,500

Common stock, $10

par value                        163,500                163,500              163,500

Retained earnings           131,100                 104,750                79,250

Total liabilities & equity $523,000          $445,000            $377,500

b) The common-size percents are determined by taking a balance sheet account and expressing it as percentage of the total assets.  For example, the  common stock for the current year is $163,500.  When this is expressed as a percentage of total assets, which is equal to total liabilities and equity, we have it as 31% ($163,500/$523,000 * 100) approximately.

a. The balance sheet of Simon Company is expressed in common-size percentages.

b. The shift in accounts receivable has been negative.  It has risen year after year, indicating that management has not changed its collection policies and practices.  

c.  The merchandise inventory change has been unfavorable.  Over the last three years, its percentage of total assets has risen.  It demonstrates that management is progressively stockpiling excess goods.  

a. Expressing the balance sheets in common-size percentages:

Simon Company's Year-end Balance Sheet:

At December 31               Current Yr  %       1 Yr Ago    %      2 Yrs Ago   %

Assets

Cash                                    $31,800    6%   $35,625     8%    $37,800   10%

Accounts receivable, net    89,500   17%      62,500    14%     50,200 13.3%

Merchandise inventory      112,500  22%      82,500    19%     54,000 14.3%

Prepaid expenses                10,700    2%         9,375     2%       5,000   1.3%

Plant assets, net               278,500   53%   255,000   57%  230,500  61.1%

Total assets                   $523,000  100% $445,000 100% $377,500  100%

Liabilities and Equity:

Accounts payable             $129,900 25%   $75,250    17%      $51,250  14%

Long-term notes payable    98,500  19%     101,500   23%      83,500  22%

Common stock, $10

par value                            163,500 31%     163,500   37%     163,500   43%

Retained earnings               131,100 25%     104,750   23%      79,250   21%

Total liabilities & equity $523,000 100% $445,000 100%  $377,500 100%

For expressing the common-size percentage the amount for total asset is taken as base value.

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who is the billionair peson in the whole world?
i'll gave 50 points​

Answers

Answer:

Thank you very much

Explanation:

Hello

The following balances have been taken from the general ledger for CCC Manufacturing Company:



Raw Materials Inventory (1-12-2014)

Rs. 40,000

Raw Material Purchases

190,000

Raw Materials Returns

9,000

Carriage Inwards

15,000

Direct Labor

250,000

Indirect Labor

60,000

Depreciation (Machinery)

30,000

Hear, Light and Power

25,000

Factory Rent and Taxes

31,000

Factory Repairs Expense

19,000

Foreman ‘s Salary

25,000

Raw Material (31-12-2014)

58,000

Work in Process (1-12-2014

63,000



The foreman estimates that Rs. 32,000 of Raw Materials and Rs. 25,000 of Direct Labor are to be allocated to the unfinished goods in process on 31-12-2014.



Determine the FOH Rate based on direct labor cost.

Answers

Answer:

FOH rate based on direct labor cost is 22.8%.

Explanation:

The computation of the factory overhead rate based on the direct labor cost is as follows:

Factory Overhead (FOH) Rate on Direct Labor Cost is

= Total Estimated Factory Overheads ÷  Direct Labor Cost × 100

= [$32,000 + $25,000] ÷ $250,000 × 100

= $57,000 ÷ $250,000 × 100

= 22.8%

Therefore, FOH rate based on direct labor cost is 22.8%.

Suppose Becky earns $650 per week working as an analyst for A-plus Accountants. She uses $10 to order a mojito cocktail at Little Havana. Little Havana pays Alex $250 per week to wait tables. Alex uses $250 to purchase tax services from A-Plus Accountants.

Identify whether each of the following events in this scenario occurs in the resource market or the product market.

a. Alex earns $250 per week working for Little Havana. (Resource Market / Product Market)
b. Becky spends $10 to order a mojito cocktail. (Resource Market / Product Market)
c. Becky earns $650 per week working for A-Plus Accountants. (Resource Market / Product Market)

Which of the elements of this scenario represent a flow from a household to a firm? This could be a flow of dollars, inputs, or outputs. Check all that apply.

( ) The mojito Becky receives
( ) The $250 Alex spends to purchase tax services from A-Plus Accountants
( ) The $250 per week Alex earns working for Little Havana
( ) Becky's labor

Answers

Answer:

Resource Market or Product Market

1. Identifying whether each of the following events in this scenario occurs in the resource market or the product market:

a. Alex earns $250 per week working for Little Havana. (Resource Market / Product Market)

b. Becky spends $10 to order a mojito cocktail. (Resource Market / Product Market)

c. Becky earns $650 per week working for A-Plus Accountants. (Resource Market / Product Market)

2. The elements of this scenario that represent a flow from a household to a firm are:

a. The $250 Alex spends to purchase tax services from A-Plus Accountants.

b. Becky's labor

Explanation:

The resource market is the market where firms buy resources for the production of goods and services.  This means that the resource market deals in the transfer of inputs: labor, capital, land, and entrepreneurship from households to firms.  In the product market, households buy output, i.e. goods and services from firms.

Spud, Inc. a manufacturer of gourmet potato chips, employs activity-based costing. The budgeted data for each of the activity cost pools is provided below for the year 2020.
Activity Cost Pools Estimated Overhead Estimated Use of Cost Drivers per Activity Ordering and receiving$94,72012,800 orders Food processing 492,00060,000 machine hours Packaging 1,695,450445,000 labor hours For 2020, the company had 11,800 orders and used 51,100 machine hours, and labor hours totaled 497,000.
Calculate the overhead rates for each activity. (Round answers to 2 decimal places, e.g. 12.25.)
Overhead Rates
Ordering and receiving
$Entry field with incorrect answer
per order
Food processing
$Entry field with correct answer
per machine hour
Packaging
$Entry field with correct answer
per labor hour
LINK TO TEXT
Spud, Inc. a manufacturer of gourmet potato chips,
Spud, Inc. a manufacturer of gourmet potato chips,
What is the total overhead applied?
Total overhead applied
$Entry field with incorrect answer now contains modified data
Digger Inc. sells a high-speed retrieval system for mining information. It provides the following information for the year.
Budgeted
Actual
Overhead cost $975,000 $950,000
Machine hours 50,000 45,000
Direct labor hours 100,000 92,000
Overhead is applied on the basis of direct labor hours.
Spud, Inc. a manufacturer of gourmet potato chips,
Spud, Inc. a manufacturer of gourmet potato chips,
Compute the predetermined overhead rate. (Round answer to 2 decimal places, e.g. 12.25.)
Predetermined overhead rate
$Entry field with incorrect answer now contains modified data
per direct labor hour
LINK TO TEXT
Spud, Inc. a manufacturer of gourmet potato chips,
Spud, Inc. a manufacturer of gourmet potato chips,
Determine the amount of overhead applied for the year.
Amount of overhead applied
$Entry field with incorrect answer now contains modified data
Morgana Company identifies three activities in its manufacturing process: machine setups, machining, and inspections. Estimated annual overhead cost for each activity is $150,000, $375,000, and $87,500, respectively. The cost driver for each activity and the expected annual usage are number of setups 2,500, machine hours 25,000, and number of inspections 1,750.
Compute the overhead rate for each activity.
Machine setups
$Entry field with correct answer
per setup
Machining
$Entry field with incorrect answer
per machine hour
Inspections
$Entry field with correct answer
per inspection

Answers

Answer:

a. Spud, Inc.

1. Overhead rates:

Ordering and receiving     $7.40 ($94,720/12,800) per order

Food processing                $8.20 (492,000/60,000)per machine hour

Packaging                          $3.81 (1,695,450/445,000) labor hour

2. Total overhead applied = $2,399,890

b. Digger Inc.

Overhead rate = $9.75 per DLH

Total overhead cost applied = $897,000

c. Morgana Company

Overhead rates:

Machine setups     $60 ($150,000/2,500) per setup

Machining              $15 ($375,000/25,000) per machine hour

Inspections           $50 ($87,500/1,750) per inspection

Explanation:

a) Data and Calculations:

Spud, Inc. budgeted data:

Activity Cost Pools           Estimated       Estimated Use of Cost Drivers

                                         Overhead                       per Activity

Ordering and receiving     $94,720                  12,800     orders

Food processing               492,000                 60,000     machine hours

Packaging                        1,695,450               445,000     labor hours

Actual data:

Actual orders = 11,800

Machine hours = 51,100

Labor hours = 497,000

Overhead rates for each activity:

Ordering and receiving     $94,720/12,800 = $7.40 per order

Food processing               492,000/60,000 = $8.20 per machine hour

Packaging                        1,695,450/445,000 = $3.81 labor hour

Actual data:

Actual orders = 11,800 * $7.40 =     $87,320

Machine hours = 51,100 * $8.20 =  419,020

Labor hours = 497,000 * $3.81 = 1,893,570

Total overhead applied =         $2,399,890

Digger Inc:

                               Budgeted       Actual

Overhead cost      $975,000   $950,000

Machine hours          50,000       45,000

Direct labor hours   100,000       92,000

Overhead is applied on the basis of direct labor hours

Overhead rate = $975,000/100,000 = $9.75 per DLH

Total overhead cost applied = $897,000 (92,000 * $9.75)

Morgana Company:

Activity Cost Pool   Estimated Overhead   Cost Driver              

Machine setups           $150,000                  2,500  number of setups

Machining                      375,000                25,000  machine hours

Inspections                      87,500                    1,750  number of inspections

Overhead rates:

Machine setups     $60 ($150,000/2,500) per setup

Machining              $15 ($375,000/25,000) per machine hour

Inspections           $50 ($87,500/1,750) per inspection

Denver Mart is considering a project with a life of 5 years and an initial cost of $136,000. The discount rate is 11 percent. The firm expects to sell 2,200 units a year with a cash flow per unit of $26. The firm will have the option to abandon this project after 3 years at which time it expects it could sell the project for $48,000. The firm is interested in knowing how the project will perform if the sales forecast for Years 4 and 5 of the project are revised such that there is a probability of 50 percent that the sales will be 1,000 units and a probability of 50 percent they will be 2,500 units a year. What is the net present value of this project given your sales forecasts?

Answers

Answer:

Denver Mart

The net present value of this project given the sales forecasts is:

= $98,400.40

Explanation:

a) Data and Calculations:

Project's estimated life = 5 years

Initial project cost = $136,000

Discount rate = 11%

Initial estimated sales = 2,200 at $26

Revenue in years 1, 2, and 3 each = 2,200 * $26 = $57,200

Sales forecast of Year 4 and 5 revised to 1,750 units

Probability of 1,000 * 50% = 500

Probability of 2,500 * 50% 1,250

Total sales forecast = 1,750 units

Revenue in years 4 and 5 each =  1,750 * $26 = $45,500

Present value of revenue:

Year 1, 2, and 3 = $57,200 * Annuity factor

= $57,200 * 3.102 = $177,434.40

Year 4, PV = $45,500 * 0.659 = $29,984.50

Year 5, PV = $45,500 * 0.593 = $26,9815

Year 1 to 5 added =   $234,400.40

Present value of revenue = $234,400.40

Present value of costs =        136,000.00

Net present value =              $98,400.40

The Most recent financial statements for Moose Tours, Inc., appear below. Sales for 2016 are projected to grow by 20 percent. Interest expense will remain constant; the tax rate and the dividend payout rate will also remain constant. Costs, other expenses, current assets, fixed assets, and accounts payable increase spontaneously with sales.

2015 Income Statement

Sales $751,000

Costs $586,000

Other Expenses$ 22,000

Earings before Interest and taxes $143,000

Interest Expense $18,000

Taxable Income $125,000

Taxes (40%) $50,000

Net Income $75,000

Dividends $30,000

Addition to retained earnings $45,000

Balance Shhet as of December 31,2015

Assets

Current Assets

Cash $21,040

Accounts Receivable $33,360

Inventory $70,230

Total $ 124,720

FIxed Assets

Net Plant and equipment $240,000

Total Assets $364,720

Liabilities and Owner;s Equity

Current liablities

Accouts Payable $55,200

Notes Payable $14,400

Total $69,600

Long Term Debt $134,000

Owners equity

Common Stock and paid in surplus $120,000

Retained Earnings $41,420

Total $161,120

Total liabilities and owner's equity $364,720

If the firm is operating at full capacity and no new debt or equity is issued, what external finaning is needed to support the 20 percent growth rate in sales?

Answers

Answer:

$5,006.07

Explanation:

The external financing needed = Projected Increase in Assets - Increase in Liabilities - Increase in Retained Earnings

Projected Increase in Asset = Assets Value*Sales Growth Rate

Projected Increase in Assets = $364,720 * 20%

Projected Increase in Assets = $72,944

Increase in Liabilities = Liabilities * Sales Growth Rate

Increase in Liabilities = $69,600 * 20%

Increase in Liabilities = $13,920

To calculate the Increase in Retained Earning, the below calculations are needed:

a. Profit Margin Rate = Net Income / Sales * 100

Profit Margin Rate = 75,000 / 751,000 * 100

Profit Margin Rate = 9.99%

b. Dividend Payout Ratio = Dividend / Net Income * 100

Dividend Payout Ratio = 30,000 / 75,000 * 100

Dividend Payout Ratio = 0.4

Dividend Payout Ratio = 40%

Retention Rate = 1 - Dividend Payout Ratio

Retention Rate = 1 - 0.40

Retention Rate = 0.60

Retention Rate = 60%

c. Expected Sales = $751,000 * 1.20 = $901,200

So, the Increase in Retained Earning = Expected Sales * Profit Margin * Retention Rate = $901,200 *9.99% * 60% = $54,017.93

Therefore, External Fund Needed = $72,944 - $13,920 - $54,017.93 = $5,006.07

Joe must pay liabilities of 1,000 due 6 months from now and another 1,000 due one year from now. There are two available investments which may be purchased in any amount:

6-month bond with face amount of 1,000, 8% nominal annual coupon rate convertible semiannually, and 6 nominal annual yield rate convertible semiannually.
1-year bond with face amount of 1,000, 5% nominal annual coupon rate convertible semiannually, and 7% nominal annual yield rate convertible semiannually.

What is the annual effective yield rate for the investment in the bonds required to exactly (absolutely) match the liabilities?

a. 6.5%
b. 6.6%
c. 6.7%
d. 6.8%
e. 6.9%

Answers

Answer:

d. 6.8%

Explanation:

The one year bond has a coupon rate of 5% per year.

- For 6 months in order to have a payment of 1000 we need a face value of 1000/1.025 = 975.61.

- Coupon payments of 975.61 x .025 = 24.39 at time 0.5 and time 1,

- Payment of the par amount of 975.61 at time 1.

Total cash flow = 1000.

We compute the price of these bonds by discounting their cash flows at their yields:

1-year bond: Price = 24.39 x 1.035^-1 + 1000 x 1.035^-2 = 957.08

6-month bond: Price = 975.61 x 1.03^-1 = 947.19

Total Price = 957.08 + 947.19

Total Price = 1904.27

So, the required yield for the combined cash flows can be found by solving:

1904.27 = 1000v + 1000v^2

EffectIve rate per 6 months = 3.3332%

Annual effective yield basis = 1.03332^2 - 1

Annual effective yield basis = 1.0677502224 - 1

Annual effective yield basis = 0.0677502224

Annual effective yield basis = 6.8%

Julie Whiteweiler made $930 this week. Only social security (fully taxable) and federal income taxes attach to her pay. Whiteweiler contributes $100 each week to her company's 401(k) plan and has $25 put into her health savings account (nonqualified) each week. Her employer matches this $25 each week.
Determine Whiteweiler's take-home pay if she is single and claims 4 allowances (use the wage-bracket method).
Enter deductions beginning with a minus sign (-). Round your calculations and final answers to the nearest cent.
Using the WagesTables for Dec 31, 2016
Gross pay $
HSA contributions
401(k) deductions
OASDI tax
HI tax
FIT
Net pay

Answers

Answer:

Explanation:

According to the wage bracket method used for tax withholding in  2016;

For a married individual and a situation whereby the number of withholding allowances claimed is four, no federal taxes have to be withheld since the salary is $930.

Also, the OASDI insurance rate = 6.2%

The wages Table for Dec 31, 2016 is as follows:

Particulars               Calculation                       Total in $

Gross Pay                                                                 930.00

Less:

HSA Contributions                                                     50.00

401(k) deductions                                                     100.00

OASDI   tax         (930 - 100) × 6.2%                          51.46            

HI tax                         as given                                        -

FIT                                                                                    -

Net Pay                                                                      728.54

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