April runs a small shop where she provides a service. She is able to process an average of 11 customers per hour. An average of 7 customers per hour seek this service at her shop. What is:

Answers

Answer 1

Answer:

5. Po= 0.36

6. Pn = 0.04

7. 0.16

8. 1.11

9. 1.75

10. 9.9

Explanation:

5. Computation for the probability that April will not be working with a customer

Using this formula

Po=1-(Average number of arrival per hour/Average number of customer served per hour)

Let plug in the formula

Po= 1-(7/11 )

Po=1-0.64

Po= 0.36

Therefore the probability that April will not be working with a customer will be 0.36

6. Calculation for the probability of 5 customers in the system

Using this formula

Pn= (Average number of arrival per hour/Average number of customer served per hour)* Po

Let plug in the formula

Pn= (7/11)^5* 0.36

Pn=0.104358*0.36

Pn=0.037

Pn = 0.04 (Approximately)

Therefore the probability of 5 customers in the system will be 0.04

7. Calculation for the average time a customer spends waiting in line

Time spend Waiting in line=7^2/11(11 – 7) /7

Time spend Waiting in line=(49/44)/7

Time spend Waiting in line = 1.11/7

Time spend Waiting in line= 0.16

Therefore the average time a customer spends waiting in line will be 0.16

8. Calculation for the average number of customers waiting in line

Customers waiting in line = 7^2/11(11 – 7)

Customers waiting in line=49/44

Customers waiting in line= 1.11

Therefore the average number of customers waiting in line will be 1.11

9. Calculation for the average number of customers in the system

Average customers in the system= 1.11 +(7/11)

Average customers in the system= 1.11 +0.64

Average customers in the system = 1.75

Therefore the average number of customers in the system will be 1.75

10. Calculation for the arrival rate in order for April to stay that busy

Arrival rate = 0.9 * 11

Arrival rate = 9.9

Therefore the arrival rate in order for April to stay that busy will be 9.9


Related Questions

An insurance settlement of $2.5 million must replace Trixie Eden's income for the next 45 years. What income will this settlement provide at the end of each month if it is invested in an annuity that earns 7.5%, compounded monthly

Answers

Answer:

$16,184.66

Explanation:

The computation of the income that needed at the end of the each month is shown below:

Here we use the PMT function

Given that

Present value = $2,500,000

NPER = 45 × 12 = 540

RATE = 7.5% ÷ 12 = 0.625

FV = $0

The formula is shown below:

= PMT(RATE;NPER;-PV;FV;TYPE)

After applying the above formula

The present value comes in negative

The monthly payment is $16,184.66

Marple Company's budgeted production in units and budgeted raw materials purchases over the next three months are given below:
January February March
Budgeted production (in units) 60,000 ? 100,000
Budgeted raw materials purchases (in pounds) 129,000 165,000 188,000
Two pounds of raw materials are required to produce one unit of product. The company wants raw materials on hand at the end of each month equal to 30% of the following month's production needs. The company is expected to have 36,000 pounds of raw materials on hand on January 1. Budgeted production for February should be:______.
A) 105,000 units.
B) 82,500 units.
C) 150,000 units.
D) 75,000 units.

Answers

Answer: 75,000 units

Explanation:

Come up with an expression to solve this.

Assume the budgeted production needed is P.

P needs 2 pounds of raw materials per unit so raw materials needed are 2P.

Beginning raw materials for February have to be 30% of the needs of February;

= 30% * 2P

= 0.6P

Ending raw materials for February have to be 30% of March needs so;

= 30% * 100,000 * 2 pounds

= ‭60,000‬ pounds

So;

Budgeted raw materials purchase for February = Raw materials needed + Ending raw materials - Beginning raw materials

165,000 = 2P + 60,000 - 0.6P

1.4P = 165,000 - 60,000

P =  (165,000 - 60,000) / 1.4

= 75,000 units

Consumption spending is:__________ A. spending by households, businesses, and government on all goods used up within one year. B. spending by individuals and households on both durable and nondurable goods. C. spending on goods and services by heads of households. D. spending by individuals and households on only nondurable goods, since they are used up quickly.

Answers

Answer:

b. spending by individuals and households on only non-durable goods.

Explanation:

Consumption spending is spending by individuals and households on only non-durable goods. Consumption is a component of GDP which includes spending on goods and services by individuals and households as it includes non-durable as well as durable goods on the basis of consumption patterns.

A share of common stock has just paid a dividend of $2.00. If the expected long-run growth rate for this stock is 15 percent, and if equity investors require a 19 percent rate of return, what is the fair price of the stock

Answers

Answer:

$57.50

Explanation:

fair value = dividend(1 + growth rate) / required rate of return - long run growth rate

$2(1.15) / 0.19 - 0.15 = $57.50

Grant, Inc., is a fast growth stock and expects to grow at a rate of 25 percent for the next four years. It will then settle to a constant-growth rate of 10 percent. The first dividend will be paid out in year 3 and will be equal to $5.00. If the required rate of return is 18 percent, what is the current price of the stoc

Answers

Answer:

the current price of the stock is $50.59

Explanation:

The computation of the current price of the stock is shown below:

= $5.00 ÷ (1 + 18%)^3 + ($5.00 × (1 + 25%)) ÷ (1 + 18%)^4 + (($5.00 × (1 + 25%) × (1 + 10%)) ÷ (18% - 10%)) ÷ (1 + 18%)^4

= $50.59

Hence, the current price of the stock is $50.59

The same is to be considered by taking all the things given in the question

An investor bought a one-acre lot on the outskirts of a city for $12,700 cash. Each year she paid $175 of property taxes. At the end of 7 years, she sold the lot for a net value of $25,000. What rate of return did she recieve on her investment

Answers

Answer:

79.5%.

Explanation:

Rate of return = [tex]\frac{final value - initial value}{initial value}[/tex] x 100

The cost of the acre = $12700.

Total property taxes paid for 7 years = $175 x 7

                                                             = $1225

Net value of cost = $12700 + $1225

                             = $13925

Net value of the land when sold = $25000

∴ Rate of return = [tex]\frac{25000 - 13925}{13925}[/tex] x 100

                          = 0.7953 x 100

                          = 79.53%

The rate of return of the acre of land is 79.5%.

A taxable bond has a yield of 8%, and a municipal bond has a yield of 6%. At what tax bracket, would you be indifferent between the 2 bonds

Answers

Answer: 25%

Explanation:

Municipal bonds are tax-free which means that the tax bracket that would make you indifferent between the 2 bonds would be the one that brings the after-tax yield on the taxable bond to the same yield as the Municipal bond.

Assume this tax rate to be x.

8% * ( 1 - x) = 6%

8% - 0.08x = 6%

0.08x = 8% - 6%

x = (8% - 6%) / 0.08

x = 25%

Schraeder Corporation has 20,000 shares outstanding at $30 each. The firm expects to raise $200,000 via a rights offering at a subscription price of $25. How many rights are required for each new share?

Answers

Answer:

3 right/shares

Explanation:

Price per unit of shares issued under “Rights issue”  = Total proceeds from rights issue/ Subscription price of share issued under rights issue  = 200,000  / $25  = 8,000

Number of new shares = 8,000

Original number of shares = 20,000

Thee number of rights required for each new share  = Original number of shares / Number of new shares  = 20,000 / 8,000 =  2.5 = 3 right/shares (approx)

If the volume of sales is $7,000,000 and sales at the break-even point amount to $4,800,000, the margin of safety is 45.8%.
A. True
B. False

Answers

True I think. Hope it’s right.

13. Beth is working at solo. In the past few months, Beth has noticed that her managers don't like the idea of change very much. Whenever she proposes a new idea, they are quick to shoot it down. This indicates that solo is operating at a ______level of _____________.

Answers

Answer:

b. High; Uncertainty Avoidance

Explanation:

Options are "a. High; Power Distance b. High; Uncertainty Avoidance c. High; Collectivism d. Low; Uncertainty Avoidance"

Beth is working at solo. In the past few months, Beth has noticed that her managers don't like the idea of change very much. Whenever she proposes a new idea, they are quick to shoot it down. This indicates that solo is operating at a High level of Uncertainty Avoidance. The reason for this is because manager doesn't like the ideas of change, most especially the Uncertainty that comes with new idea. The manager is practically avoiding uncertainty at high level and prefer to continue using the pre-existing operating measures and method in the organization.

Her home has a replacement value of $150,000, therefore she insures her home for the minimum legal requirement of

Answers

Answer:

$120,000

Explanation:

There is actually no minimum legal home insurance requirement. But if you have a mortgage on your house, the lender will require home insurance that covers at least the loan amount.  

Regarding insurance companies, the 80% rule applies. This means that she must purchase an insurance policy that covers at least 80% of her house's replacement value = $150,000 x 80% = $120,000. If her policy covers less, then in case she files a claim, the insurance company will pay only a proportionate amount of the repairs or replacement value.

Carby Hardware has an outstanding issue of perpetual preferred stock with an annual dividend of $5.10 per share. If the required return on this preferred stock is 6.5%, at what price should the preferred stock sell

Answers

Answer:

PV = $78.46153 rounded off to $78.46

Explanation:

A perpetuity is an unlimited series of cash flows that are of constant amount and occur after equal intervals of time. As they are unlimited in number, we say that they are perpetual. A perpetual preferred stock can also be said to be in form of a perpetuity as it pays a constant dividend after equal intervals of time. To calculate the price of the preferred stock, we use the present value of perpetuity formula which is,

PV = Cash flow / r

Where,

r is the required rate of return

PV = 5.1 / 0.065

PV = $78.46153 rounded off to $78.46

Balonek Inc.'s contribution margin ratio is 57% and its fixed monthly expenses are $41,000. Assuming that the fixed monthly expenses do not change, what is the best estimate of the company's net operating income in a month when sales are $112,000

Answers

Answer:

The estimated net operating income in a month is $22,840

Explanation:

The computation of the net income is shown below:

= Contribution margin Ratio × Sales - Fixed cost

= 57% × $112,000 - $41,000

= $63,840 - $41,000

= $22,840

hence, the estimated net operating income in a month is $22,840

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Consider the following cash flows: Year Cash Flow 0 –$ 33,000 1 13,400 2 18,300 3 10,800 What is the IRR of the cash flows? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

14.23%

Explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = –$ 33,000

Cash flow in year 1 = 13,400

Cash flow in year 2 = 18,300

Cash flow in year 3 = 10,800

IRR = 14.23%

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.

A payment of $200 is made at the end of each month into an account paying a 7.5% annual interest rate, compounded monthly for 30 years. What is the future value of the account after 30 years

Answers

Answer:

FV= $269,489.09

Explanation:

Giving the following information:

Monthly payment= $200

Interest rate= 0.075/12= 0.00625

Number of periods= 30*12= 360

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {200*[(1.00625^360) - 1]} / 0.00625

FV= $269,489.09

An example of a stakeholder in a company is a supplier.
Question 1 options:
True
False

Answers

The answer is true and there is more examples

Kris Kerpstra is an employee for General Dynamics. Kris would be considered a human resource.

Answers

Answer:

I NEED THIS ANSWERRR TOOO!!

Explanation:

Answer:

Trisha wishes that she and Bo could become better friends. This is an example of an (Non) economic want.

Explanation:

Its not a economic want

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