The price elasticity of demand (based on the midpoint formula) when price increases from $10 to $12 is:______

Answers

Answer 1

Answer:

the price elasticity of demand is 1

Explanation:

The price elasticity of the demand using mid point formula is as follows:

Price elasticity of the demand is

= (change in quantity demanded ÷ average of quantity demanded) ÷ (percentage change in price ÷ average of quantity demanded)  

where,  

Change in quantity demanded is

= Q2 - Q1

= 36 - 30

= 6

And, average of quantity demanded is

= (36 + 30) ÷ 2

= 33

Change in price is

= P2 - P1

= $12 - $10

= $2

And, the average of price is

= ($12 + $10) ÷ 2

= 11

So, the price elasticity of demand is 1

The Price Elasticity Of Demand (based On The Midpoint Formula) When Price Increases From $10 To $12 Is:______

Related Questions

Driving skills are a basic qualification of

Military Infantry.
Mail Carriers.
Ambassadors.
Tax Examiners.

Answer quick

Answers

Answer: The answer is B mail carriers

Explanation:

Answer: B

Explanation:

Mail carriers

To determine the dutiable status of goods, it is necessary to know their classification, country of origin, and details pertaining to:___________.a. Perishable/non-perishable status.b. Partially or fully manufactured goods.c. Raw materials to be used in production.d. Value.

Answers

Answer:

d. Value

Explanation:

The dutiable goods are subjected to duties. Dutiable goods may be defined as the goods and products on which tax have to be paid when they brought to a country from other countries.

In order to known the dutiable status of any goods, it is very important to know the classification of the good, the place of their origin and all the details relating to its value.

A production line is to be designed for a product whose completion requires 21 minutes of work. The factory works 400 minutes per day. Can an assembly line with five workstations make 100 units per day?

a. yes, with exactly 100 minutes to spare
b. no, but four workstations would be sufficient
c. no, it will fall short even with a perfectly balanced line
d. yes, but the line's efficiency is very low
e. cannot be determined from the information given

Answers

Answer:

C. no, it will fall short even with a perfectly balanced line

Explanation:

In this question, if a factory has a work time that is 400 minutes per day. The required units per day is a 209 units. With 5 available workstations.

Then we would calculate the time cycle as

400 x 5/100

= 400x0.05

= 20minutes/unit

So In conclusion, if the time required is more than 20 minutes, that is 21 minutes, it is going to fall short with a perfectly balanced line. Hence option c.

The correct option is c.

c. no, it will fall short even with a perfectly balanced line

The following information should be considered:

An assembly line having with five workstations that can't make 100 units per day.Because it will fall short even with a perfectly balanced line

Therefore, we can conclude that the correct option is c.

Learn more: brainly.com/question/16911495

The firm should shut down if the market price is:___________.
A. above $8.
B. above $6.30 but less than $8.
C. above $4.50 but less than $6.30.
D. less than $4.50.

Answers

Answer: D. less than $4.50.

Explanation:

In the short run, a business should shutdown if the market price is below the Average Variable costs as because at this point, only losses are being made if the company stays in action.

If price is below the variable cost, it is best to shutdown so that the company can stop incurring the variable costs and incur the fixed cost alone. The lowest Average Variable cost is $4.50 for this good and so if the price falls below $4.50, the should shutdown.

How do i get as much mony as bill gates todey?

Answers

Answer:

be very famous

Explanation:

be white
why do i need to have 20 letters

Susan won $2,000 at the blackjack tables on her birthday. Her winnings are an example of:________.
a. an in-kind transfer.
b. transitory income.
c. life-cycle income.
d. permanent income.

Answers

Answer:

B. Transitory income.

Explanation:

As the name sounds, it is seen to be a form of income that is said to be anticipated. This form of income does not play key roles in the standard of living of the said person. This income is clearly a short-lived kind as it cannot hold a person or family towards a certified period of time. Also in many cases, economists are seen to believe that people base their consumption on their permanent income, therefore, inequality in consumption is one gauge of inequality of permanent income; making consumption less effectective, as transitory changes in income, they are more equally is current income.

Rory Company has a machine with a book value of $101,000 and a remaining five-year useful life. A new machine is available at a cost of $116,000, and Rory can also receive $83,000 for trading in its old machine. The new machine will reduce variable manufacturing costs by $17,000 per year over its five-year useful life. Calculate the incremental income. (Any losses or outflows should be entered with a minus sign.)

Answers

Answer:

Incremental Income $52,000

Explanation:

The computation of the incremental income is shown below:

Reduction in variable manufacturing costs ($17,000 × 5) $85,000

Cost of the new machine -$116.000

Cash received from trade in old machine $83,000

Incremental Income $52,000

The machine should replacement as there is an increase in income by $52,000

From 2006 to 2010, per capita real gross domestic product (GDP) in Croatia grew an average of 1.08 percent per year. At that rate, according to the Rule of 70, in roughly how many years will the Croatian economy double in size?

Answers

Answer:

Number of Years to Double= 64.81

Explanation:

Giving the following information:

From 2006 to 2010, per capita real gross domestic product (GDP) in Croatia grew an average of 1.08 percent per year.

The rule of 70 is a means of estimating the number of years it takes for an investment or your money to double. In this case, the GDP.

Number of Years to Double= 70/Annual growth

Number of Years to Double= 70/1.08

Number of Years to Double= 64.81

What is the standard deviation of a stock that has a 10% chance of earning 18%, a 10% chance of making 11%, a 40% chance of making 5%, and a 40% chance of making 22%?
A. 7.95%.
B. 13.70%.
C. 7.78%.
D. 13.05%.

Answers

Answer:

A. 7.95%.

Explanation:

Calculate the expected rate of return for the investment as follows:

[tex]\begin{aligned}

\text { Expected rate of return } &=(\text { Probability } \times \text { Rate of return })+(\text { Probability } \times \text { Rate of return })+\\

&(\text { Probability } \times \text { Rate of retum }) \\

=&(0.40 \times 15 \%)+(0.50 \times 10 \%)+(0.10 \times-3 \%) \\

=& 0.06+0.05-0.003 \\

=& 0.107[/tex]

Calculate the standard deviation of the investment as follows:

[tex]\begin{aligned}

\text { Standard deviation }=&\left\{\begin{array}{l}

\text { Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)+ \\

\text { (Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)+ \\

\text { (Probability } \left.\times(\text { Return }-\text { Expected return })^{2}\right)

\end{array}\right.[/tex]

=[tex]\sqrt{\left(0.40 \times(0.15-0.107)^{2}\right)+\left(0.50 \times(0.10-0.107)^{2}\right)+} \\

=\sqrt{0.0007396+0.0000245+0.0018769} \\

=\sqrt{0.002641} \\

=0.05139066063011[/tex]

when it comes to managing money success is about 80% knowledge and 20% Behavior true or false ​

Answers

Answer:

huh

Explanation:

do you have a picture of the question because I don't get it but I'm trying to help

On January​ 1, 2018, Brazos Company purchased equipment and signed a​ six-year mortgage note for​ $97,000 at​ 15%. The note will be paid in equal annual installments of​ $25,631, beginning January​ 1, 2019. On January​ 1, 2019, the journal entry to record the first installment payment will include a​ ________. ​ (Round your answer to the nearest whole​ number.) A. credit to Mortgage Payable for​ $97,000

Answers

Answer:

the original journal entry should be:

January 1, 2018, equipment purchased

Dr Equipment 97,000

    Cr Notes payable 97,000

accrued interest on December 31 2018 should be:

Dr Interest expense 14,550

    Cr Interest payable 14,550

the first installment should be recorded as:

January 1, 2019, first installment paid on notes payable

Dr Interest payable 14,550

Dr Notes payable 11,081

    Cr Cash 25,631

The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50 per share for months. The price of a 3-month put option with an exercise price of $50 is $4. If the risk-free interest rate is 10% per year, what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money

Answers

Answer:

$5.18

Explanation:

Calculation for call option

Using this formula

Call option=Put option + Exercise price-[Exercise price/(1+Risk-free interest rate)^Time

Let plug in the formula

Call option= 4 + 50 - [50/(1+.10)^1/4]

Call option= 4 + 50 - [50/(1.10)^1/4]

Call option= $5.18

Therefore what must be the price of a 3-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money is $5.18

g __________ conversion is the least expensive and highest risk IS conversion strategy because the old system is cut off and the new system is turned on at a certain point in tim

Answers

Answer:

Direct

Explanation:

There are different types of conversion systems. Example includes the direct conversion and parallel conversion.

In this conversion system, users stops using the old system one day and starts using the next system the next.

Its requires fewer resources and is simple if nothing goes wrong. Risk involved mostly if the hardware and software are old or at a cutting edge.

Direct conversion is said to be an abrupt change where the the old system is simply unplugged and the new system is turned on. It does not allow users with any choice but to work with the new system. It is said to be risky and least cost.

An aging of a company's accounts receivable indicates that $8400 are estimated to be uncollectible. If Allowance for Doubtful Accounts has a $3800 credit balance, the adjustment to record bad debts for the period will require a:_____.
1. debit to Bad Debts Expense for $1,800.
2. debit to Bad Debt Expense for $2,200.
3. credit to Allowance for Doubtful Accounts for $3,000.
4. debit to Bad Debts Expense for $2,000.

Answers

Answer:

Debit to Bad Debts Expense for $4,600

Explanation:

Based on the information given we were told that the company's accounts receivable shows the amount of $8400 which was estimated to be uncollectible which means that If Allowance for Doubtful Accounts has the amount of $3800 as credit balance, the adjustment to record bad debts for the period will require a Debit to Bad Debts Expense for $4,600 calculated as

Bad Debts Expense=Accounts receivable-Allowance for Doubtful Accounts

Bad Debts Expense=$8,400-$3,800

Bad Debts Expense=$4,600

When is a variance considered to be 'material'?
a) When it could have been controlled more effectively
b) When it is infrequent
c) When it is unfavorable
d) When it is large compared to the actual cost

Answers

ANSWER: D

A variance is considered to be material if it exceeds a certain percentage or dollar amount.

The most competitively effective and very likely most profitable long-term approach to reduce or eliminate the impact of paying tariffs on pairs imported to a company's distribution warehouse in Europe-Africa is to:___________.
A) raise the selling prices of all footwear being marketed in Europe-Africa by enough to cover somelall of the tariff costs. build and equip a production facility in Europe-Africa and then expand it as may be needed to supply all (or at least most) of the pairs the company intends to try to sell in Europe- Africa.
B) cut distribution and warehouse expenses and marketing expenses per pair sold in Europe Africa by enough to cover some/all of the tariff costs.
C) pursue a strategy of selling fewer pairs in Europe-Africa than rival companies, which will then keep the company's costs for import tariffs in Europe-Africa lower than those of rivals and give the company a competitive advantage based on low tariff costs on its sales in Europe-Africa.
D) pursue a strategy of selling footwear to retailers in Europe-Africa at a wholesale price of $39 per pair or less--no import tariffs have to be paid on branded pairs shipped to footwear retailers in Europe-Africa when the wholesale price is below $40 per pair.

Answers

Answer:

build and equip a production facility in Europe-Africa and then expand it as may be needed to supply all (or at least most) of the pairs the company intends to try to sell in Europe- Africa

Explanation:

In order to have effective competition and profitable for the long term approach for decreasing or removing the effect of tariff that would be paid on pairs is that to establish the production facility so that it would get expanded and the same is to be sell in Europe-Africa

Therefore the above represents the answer

The most appealing way to reduce or eliminate the impact of paying tariffs on pairs imported to a company's or organization's distribution warehouse in Europe-Africa is to:

Build and equip a manufacturing plant in Europe-Africa, then expand it as needed to supply all (or at least the majority) of the pairs the company plans to sell in Europe-Africa.

To have effective competition and a successful long-term strategy for reducing or eliminating the effect of tariffs paid on pairs, it is necessary to develop a production facility that can be expanded and sold in Europe.

Therefore, option A is the correct response to the distribution warehouse.

For more information regarding the Europe-Africa distribution:

https://brainly.com/question/3300597

Magix Productions orders new equipment for the company. The new equipment costs $50,000 and will help the company to save $10,000 annually. What is the average rate of return of the equipment?
A. 15 percent
B. 20 percent
C. 35 percent
D. 40 percent

Answers

Answer:

B. 20 percent

Explanation:

The computation of the average rate of return of the equipment is shown below:

= Average net profit or savings ÷ average investment

= ($10,000 ÷ 2) ÷ ($50,000 ÷ 2)

= $5,000 ÷ $25,000

= 20%

hence, the average rate of return of the equipment is 20%

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

And, the same is to be considered

Grey, Inc., uses a predetermined rate to apply overhead. At the beginning of the year, Grey budgeted its overhead costs at $220,000, direct labor hours at 55,000, and machine hours at 20,000. Actual overhead costs incurred were $233,250, actual direct labor hours were 62,000, and actual machine hours were 15,000. If the PDOH rate uses machine hours as the cost driver, what is the total amount credited to the overhead account control account

Answers

Answer:

$165,000

Explanation:

Calculation for what is the total amount credited to the manufacturing overhead account for the year for Grey

First step is to calculate Predetermined overhead rate using this formula

Predetermined overhead rate = Estimated overhead costs / Estimated machine hours

Let plug in the formula

Predetermined overhead rate = $220,000 / 20,000 machine hours

Predetermined overhead rate= $11

Second step is to calculate Total amount credited to the factory overhead account for the year for Grey

Using this formula

Total amount credited to the factory overhead account for the year for Grey = Predetermined overhead rate × Actual machine hours

Let plug in the formula

Total amount credited to the factory overhead account for the year for Grey= $11 × 15,000 machine hours

Total amount credited to the factory overhead account for the year for Grey = $165,000

Therefore the Total amount credited to the factory overhead account for the year for Grey will be $165,000

Jasmine's Boutique has 2,000 bonds outstanding with a face value of $1,000 each and a coupon rate of 9 percent. The interest is paid semiannually. What is the amount of the annual interest tax shield if the tax rate is 34 percent?A. $58,500B. $60,750C. $60,100D. $62,250E. $61,200

Answers

Answer:

E. $61,200

Explanation:

total interest expense = 2,000 bonds x $1,000 per bond x 9% = $180,000

the interest shield is the amount of taxes saved by paying interest expense

interest shield = total interest expense x tax rate = $180,000 x 34% = $61,200

this means that the company will be able to reduce its income taxes by $61,200 because it paid interests on their bonds

Here I Sit Sofas has 7,500 shares of common stock outstanding at a price of $98 per share. There are 760 bonds that mature in 34 years with a coupon rate of 7.2 percent paid semiannually. The bonds have a par value of $2,000 each and sell at 110.5 percent of par. The company also has 6,400 shares of preferred stock outstanding at a price of $51 per share. What is the capital structure weight of the debt

Answers

Answer:

61.28%

Explanation:

Equity market value = Number of shares*price/share

Equity market value  = 7,500 * $98

Equity market value = $735,000

Current debt value = Number of bonds*price/bond

Current debt value = 760*(1.105*2000)

Current debt value = $1,679,600

Preferred stock value = Number of shares*price/share

Preferred stock value = 6,400 * $51

Preferred stock value = $326,400

Total capital = Common equity value + Debt value + Preferred stock value

Total capital = $735,000 + $1,679,600 + $326,400

Total capital = $2,741,000

Weight of debt = Debt value / Total capital

Weight of debt = $1,679,600 / $2,741,000

Weight of debt = 0.6127690623859905

Weight of debt = 61.28%

Which of the following is a potential disadvantage when considering long-term loans as an option for raising capital?
OA. They are available to firms with a weak credit rating.
O B. Not all companies can qualify for loans and acceptable terms.
O C. Such loans can restrict the way an organization uses its assets.
D. They require diluting ownership in organizations.
O E. They cannot provide substantial sums of money to businesses.

Answers

Answer:

A potential disadvantage when considering long-term loans as an option for raising capital is:

D. They require diluting ownership in organizations.

Explanation:

This potential disadvantage becomes a reality when the long-term loans are converted into shares.  At this point, the ownership in the organization is diluted.  Ownership dilution reduces the percentage of the ownership of shares in the entity.  The investment becomes less attractive to the original owners since more owners are brought on board.

A potential disadvantage when considering long-term loans as an option for raising capital is D. They require diluting ownership in organizations.

A long-term loan refers to a loan that is paid for more than three years. This is different from a short-term loan that is usually expected to be paid back within a few years.

A disadvantage when considering long-term loans as an option for raising capital is that require diluting ownership in organizations. When one doesn't pay back on time, one may lose some percentage of ownership in the company.

Read related link on:

https://brainly.com/question/15207309

A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. If the risk free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?
A) $12.74.
B) $10.48.
C) $5.00.
D) $9.00.
E) $8.30.

Answers

Answer:

$9.90

Explanation:

Using Put Call Parity Equation:

C + X/(1 + r)^t + S + P

Call price + PV of exercise price = Spot price + Put price

4.74 + 50/(1.03)^0.30 = 45 + P

4.74 + 50/1.00891 = 45 + P

4.74 + 49.5584 = 45 + P

P = 4.74 + 49.5584 - 45

P = 9.2984

P = $9.90

Thus, the Price of Put Option with $50 exercise price = $9.90

Franklin corporation issues $97,000, 8%, 5-year bonds on January 1, for $101,370. Interest is paid semiannually on January 1 and July 1. If Franklin uses the straight-line method of amortization of bond premium, the amount of bond interest expense to be recognized on July 1 is:________.
a. $4,317
b. $7,760
c. $3,443
d. $3,880

Answers

Answer:

c. $3,443

Explanation:

Date     Account Titles                              Debit      Credit

Jan 1     Cash                                              101370

                  Bond payable                                          97000

                  Premium on issue of bonds                    4,370

                   (101370-97000)

Jul 1        Interest expenses (3680 - 437)  3,443

              Premium on issue on bond         437

              (4379/5 * 6/12)

                     Cash (97,000*8%*6/12)                          3,800

Which characteristics make it so that perfectly competitive firms and monopolistically competitive firms have zero economic profit in the long run?

Answers

Answer:

A.  Homogeneous product and perfect information

Explanation:

The characteristics in which the perfectly competitive market and the monopolistic market would have zero economic profit in the long run that should be the same product and perfect information as the high prices would vary . Also it decreases the asymmetric information

Therefore as per the given situation, the correct option is A

Bonita Company's inventory records show the following data:

Units Unit Cost
Inventory, January 1 10900 $8.00
Purchases: June 18 8700 8.10
November 8 5700 5.00

A physical inventory on December 31 shows 5700 units on hand. Under the FIFO method, the December 31 inventory is:_______

Answers

Answer:

$28,500

Explanation:

FIFO will give the same result whether you use perpetual or periodic system.

Ending Inventory = Units Left × Earliest Price

Therefore,

Ending Inventory = 5700 units × $5.00

                             = $28,500

During the 1970s, some economists argued that the cause of the woes of the economy were due to __________. g

Answers

Explanation:

Stagflation. Which is stagnant growth combined with inflation. Which was caused in large part by repeated disruptions to global oil supplies, which led to soaring prices and gasoline shortages in the United States.

thinking strategically about industry and competitive conditions in a given industry involves evaluating such considerations as

Answers

Answer:

E. how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently.

Explanation:

Options are "A. cultural, lifestyle, and demographic changes, B. the birth of new industries, new knowledge, and disruptive technologies, C. weather, climate change, and water shortages, D. interest rates, exchange rates, unemployment rates, inflation rates, and economic growth, E. how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently."

Thinking strategically about industry and competitive conditions in a given industry involves evaluating such considerations as how often sellers alter their prices, how sensitive buyers are to price differences among sellers, whether the item being purchased is a good or a service, and whether buyers buy frequently or infrequently.

The strategy decision making about the industry and competitive conditions involve evaluating the prices, buyer sensitivity to the prices, serviceability & frequency.

The Treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model:________

Answers

Answer: See explanation

Explanation:

Your question is not complete. Here is the completed question:

The Treasury bill rate is 6%, and the expected return on the market portfolio is 10%. According to the capital asset pricing model, what is the risk premium?

The risk premium will be the difference between the market portfolio and the treasury bill rate. This will be:

= 10% - 6%

= 4%

What type of mortgage requires fixed monthly interest payments for 3 to 5 years whereupon full payment of the mortgage principal is due?

Answers

Answer:

Balloon Payment Mortgages

Explanation:

Mortgages are simply loans to persons or businesses to get/purchase homes, land, or other real property.

A balloon payment mortgage is a a type of mortgage known for its ability to not fully amortize over the term of the note, thereby leaving a balance due at maturity. Its last or final payment is called a balloon payment because of its notable large size. This type of mortgages are more more common in commercial real estate than in residential real estate. the above statement of it that it require fixed monthly interest payments for 3 to 5 years whereupon full payment of the mortgage principal is due is correct.

Short Company purchased land by paying $22,000 cash on the purchase date and agreed to pay $22,000 for each of the next seven years beginning one-year from the purchase date. Short's incremental borrowing rate is 10%. On the balance sheet as of the purchase date, after the initial $22,000 payment was made, the liability reported is closest to: (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided.)

Answers

Answer:

The liability reported is closest to $107,105.21.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the the liability reported  =?

P = Annuity payment = $22,000

r = Student's desired return rate = 10%, or 0.10

n = number of years = 7

Substitute the values into equation (1) to have:

PV = $22,000 * ((1 - (1 / (1 + 0.10))^7) / 0.10)

PV = $22,000 * 4.86841881769293

PV = $107,105.21

Therefore, the liability reported is closest to $107,105.21.

Other Questions
Write the sentence as an equation.220 equals a minus 323 What helped the Assyrians build an empire?A. The tower of babel B. Friendly diplomacyC. Their own alphabet D. Iron weapons Which excerpt from The People Could Fly best reflects the historical fact that enslaved people were forced to work under brutal conditions? How do I solve this? Two students with different equations want to know what value of x would make their equations be the same 1. Four identical elephants are at different heights. If your physics teacherasked you which of the following elephants has the greatest amount ofpotential energy, what will be your answer? And why?Helpppp:((((( Can you describe at least 3 examples ofausterity measures and the politicalconsequences for members of the BritishParliament Enter the value of 56+(23)(3) help please look at pic The pressure, P, measured in pounds per square inch (psi),on an object under water varies directly with its depth, d, measured in feet. If the pressure on an object at a depth of 20 feet is 8.6 psi, what is the pressure on an object at a depth of 25 feet?A. 9.85 psiB. 10.75 psiC. 13.60 psiD. 6.88 psi What is a dense membrane composed of nerves, blood vessels, and bone-producing cells thatfacilitates growth in the diameter of a bone and also provides the point of attachment for tendons. What long term, lasting effects took place in Europe as a result of the Reformations in regard to conflict? what is pruning? what are the fruits trees primarily purned for? What is the slope intercept form of this? Jill has 15 oranges and 12 pears. She wants to put all of the fruit into baskets with each basket having the SAME NUMBER of pieces of fruit in it. Without mixing the fruit, what is the GREATEST number of pieces of fruit Jill can put in each basket? What happened at the Homestead steel plant? April mails 3 packages. The first weighs 14.125 pounds, the 2nd weighs 12.35 pounds, and the 3rd weighs 17.4 pounds. What is the total weight of the packages? I need help on these 3 questions really fast ill give brainliest!!!! QUICK List one example of Muslim contributions in Diseases A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 10-cm-diameter pipe at a rate of 0.04 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.