The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p= -1/7x+200. A) Find a model that expresses the revenue R as a function of x. (Remember, R= xp). R(x)=____ B) What is the domain of R? C) What is the revenue if 200 units are sold? D) What quantity maximizes revenue? What is maximum revenue? E) What price should the company charge to maximize revenue?

Answers

Answer 1

A) The model that expresses the revenue R as a function of x is R(X) = -1/7x + 200

B) The domain of R is (-∞, +∞)

C) If 200 units are sold, then the revenue is $228.57

D) The quantity that maximizes revenue is 200 and the maximum revenue is $228.57

E) The price should the company charge to maximize revenue $228.57

Here we have given the function that can be model  that expresses the revenue R as a function of x is written as,

=> R(X) = -1/7x + 200

Here the domain value of R has take the value from negative infinity to positive infinity.

When we take the value of x as 200, then the revenues of the sold goods is calculated as,

=> R(200) = -1/7 (200) + 200

When we simplify this one then we get the value of R as

=> R = 28.57 + 200

=> R = 228.57

As per the given function the maximum number of units sold is written as 200, and the maximum revenue is written as 228.57

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Related Questions

In a game, you pilot a spaceship and gain a point for every asteroid you
destroy. The game ends when your ship is hit by an asteroid. You already
have 94 points. Graph your possible final scores for the game.

Answers

Answer:

y = p+94

Step-by-step explanation:

If you already have 94 points you can't get lower than that.

p represents the amount of points you have, or the amount of asteroids you've destroyed.

5c2 - 1 = 124 the 2 is an exponet
need help asap

Answers

c = -5 or c= 5 I believe

four-part spinner is spun once. spinner with four parts labeled Q, R, S, and T List the sample space for the experiment. S = {Q, R, R, T} S = {Q, R, S, T} S = {R, A, T} S = {S, Q, Q}​

Answers

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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Which represents “4 more than one half a number”?

Answers

Answer:

i think it is D

Answer:

D

Step-by-step explanation:

It is D because it divides n by 2 and adds on 4 to it.

[tex]\frac{n}{2}+4[/tex]

Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?

58 ft2

174 ft2

not enough information provided

198 ft2

Answers

Answer is 174 ft2.


Area of triangle: 24 ft2

First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft

Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2

Secondly, find the area of the rectangle.
10 x 15 = 150 ft2

Then add up the area of the triangle and rectangle.

150+24= 174 ft2

James made 7 identical bags using 5 yards of fabric. How much fabric did James use for each bag?

Answers

Answer:

James used 5 yards of fabric to make 7 identical bags, so he used 5/7 yards of fabric per bag.

Step-by-step explanation:

An auditorium has 28 seats
in the front row. Each row
behind the front has three
more seats than the row
directly in front of it.

How many seats are in the
eleventh row?

Answers

Answer:

11 x 3 = 33

28 x 11 = 308

308 + 33 = 341

[tex]\huge\boxed{Answer\341}

(341) is the answer

What is y = - 1/4x + 4 in written standard form?

Answers

Answer:

x + 4y = 16

Step-by-step explanation:

Answer:

1/4x+y = 4

Step-by-step explanation:

Standard form is just X+Y=N

That means we have to get X and Y on the same side. For this problem we just add 1/4x to both sides of the equation.

Similar figures review

Answers

The width for the second rectangle which is HIJK will be A. 24 inches.

How to illustrate the relationship?

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

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What do you think that negative distances and velocities could mean in this situation?

Answers

Answer:

what situation?

Step-by-step explanation:

What are the 4 types of symbols?

Answers

Answer:

+ - × ÷

Step-by-step explanation:

addition, subtraction, multiplication and division

1/4 + 3/8 (i would love a explanation)

Answers

2/8 + 3/8 = 5/8 least common denominator changes your 1/4 to a 2/8 then just add together.

If Jenny earns $375 when she works 5 hours, how much will she earn if she
works 12 hours?

Answers

Answer:

She will earn $900.00 in 12 hours.

Step-by-step explanation:

Her unit rate is 75 dollars per hour.

375/5 = $75

75 x 12 = 900

Answer:  $900

Step-by-step explanation: 375/5x12.

What is the length of the 3rd side?

Answers

The length of the 3rd side cannot be determined without at least one more side length.

In order to calculate the length of the third side of a triangle, we must also have the lengths of the other two sides. This is because the sum of the three sides of a triangle must equal 180°, so the length of one side can be determined from the other two. For example, if two sides have lengths of 4 and 8, then the third side must have a length of 8, as

4 + 8 + 8 = 180°.

Without knowing the lengths of the other two sides, it is impossible to calculate the length of the third side.

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Solve |2x - 5| = 4.

Answers

Answer:

x = - 0.5

[tex]x=-\frac{1}{2}[/tex]

Step-by-step explanation:

2x + 5 = 4

2x + 5 - 5 = 4 - 5

2x = - 1

2x ÷ 2 = - 1 ÷ 2

x = - 0.5

How many minutes will a bus take to cover 5 km travelling at 9 km/h?

Answers

Answer:

the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

Step-by-step explanation:

To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:

time = distance / speed

In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.

9 km/h = 0.15 km/min (by dividing 9 by 60)

Now we can substitute the distance and speed into the formula:

time = 5 km / 0.15 km/min = 33.33 min

So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.

Which of the following sets of angle measurements determines a triangle? Select all that apply.
60, 80
90, 110
70, 90
100, 80
50, 70

Answers

Answer: 70,90 is the measurements determined

Write an equation of the line that passes through the given point and is perpendicular to the given line.

(2, 5); x = -6

Answers

well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.

A wedding cake weighed 8 kg .If of its weight was flour , was sugar, 2 5 ℎ 5 16 ℎ 1 4 ℎ was cream and the rest were nuts ,find the weight of the nuts

Answers

Answer:

300G

Step-by-step explanation:

Here is the complete question

A wedding cake weighed 8kg. If 2/5th of its weight was flour, 5/16th was sugar,1/4th was cream and the rest were nuts, find the weight of nuts.

fraction of the cake that was nuts = 1 - (2/5 + 5/16 + 1/4)

1 - [tex]\frac{32 + 25 + 20}{80}[/tex] = 3/80

wight of nuts = 3/80 x 8 = 0.3 kg = 300g

Kylie ran 7/10 of a mile and walked 2/5 of a mile. How much farther did Kylie run than walk?

Write your answer as a fraction or as a whole or mixed number.

Answers

The farther distance run by Kylie is 3 /10 miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Kylie ran 7/10 of a mile and walked 2/5 of a mile. The distance will be calculated as,

Distance = ( 7/10 )  - ( 2 / 5)

Distance = ( 7 - 4 ) / 10

Distance = 3 / 10 miles

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25POINTS

Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal’s likely error? Use the drop-down menus to explain your answer.


1st box options: 39.14, 18, 11.46, and 113.04

2nd box options: Greater or less

3rd box options: Multiply by, add, divide by, and subtract

Answers

Answer:

Its volume for a sphere where radius is 3cm

The real volume is 113.04 cubic meter

When graphing the function on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function

Answers

The most appropriate viewing window for determining the domain and range of a function when graphing it on a graphing calculator would depend on the specific function and what information you are trying to gain from the graph.

DETERMINING THE DOMAIN AND RANGE OF THE FUNCTION

When graphing a function, it is important to set the viewing window correctly so that the full behavior of the function is visible. The domain of a function is the set of all input values for which the function is defined. The range of a function is the set of all output values that the function can produce. To determine the domain and range of a function from its graph, you need to be able to see all of the points where the function is defined, as well as any asymptotes or singularities.

To set the appropriate viewing window, you should start with a wide window that includes the x- and y-values where the function is defined. For example, if the function is defined for all real numbers, you would want to set the x-min and x-max to a large negative and positive number respectively, and y-min and y-max to a large negative and positive number respectively. This will ensure that all of the function's behavior is visible on the graph.

Once you have a general idea of the function's behavior, you can adjust the viewing window as needed.

Also, it is a good idea to check the graph for symmetry or periodicity, which can help to narrow down the domain or range. For example, if the graph is symmetric about the y-axis, you know that the domain includes all real numbers. If the graph is periodic, you know that the domain includes all real numbers and the range is limited.

By adjusting the viewing window and looking for symmetry or periodicity, you should be able to determine the domain and range of the function from its graph.

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The table represents the details of the loan for Carla's new car purchase. What is the value of C?   Cost of car $14,890 Down Payment $2,800 Amount Financed A Monthly Payment $271.02 # Months 60 Amount Repaid B Finance Charge C Total Cost D $19,061.20 $16,261.20 $12,090.00 $4,171.20​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The amount financed (A) is the cost less the down payment.

The amount repaid (B) is the monthly payment times the number of months.

The finance charge (C) is the difference between the amount repaid and the loan amount.

The total cost (D) is the sum of the cost of the car and the finance charge.

. If a population of college student ages is skewed right, then this indicates: a. there are a greater number of older students b. the modal age is greater than the median age c. as the age of a student increases, the frequency of the student ages increases. d. there are more younger students within the population e. not enough information

Answers

The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.

A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.

Option a. there are a greater number of older students is also correct, but it is not complete.

Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.

Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.

Option e. not enough information is not correct as the question is providing enough information to make a conclusion.

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help me please.!!!..

Answers

Answer:

m = 3

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

Estimate a 15% tip on a dinner bill of $43.17 by first rounding the bill amount to the nearest ten dollars.
Estimated tip: s1
Pls hurry

Answers

Answer:

The tip is 6 dollars

Step-by-step explanation:

Solve for m/IGH if m/FGH = 141° and m/FGI = 72°.
F
Answer: m/IGH =
O
G
Submit Answer
H
attempt 1 out of 2/ problem 1 out

Answers

Answer:

Step-by-step explanation:

m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees

therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 =  69 degrees

Condos in Georgetown go up in value by 10% each year. If the Sutton family's condo is now worth $120,000, what will it be worth in 8 years? If necessary, round your answer to the nearest cent.

Answers

The Sutton family's condo's worth in 8 years will be $216000.

What is exponential function?

An exponential function is a mathematical function in the form f(x) = aˣ, where {x} is a variable and {a} is a constant which is called the base.

Given is that Condos in Georgetown go up in value by 10% each year. Sutton family's condo's current worth is $120,000.

We can write the function to calculate the worth after {T} years as follows.

A{T, R} = A{i} {1 + RT}

A{T, R} = {120000} {1 + (10/100) x 8}

A{T, R} = {120000} {1 + 0.1 x 8}

A{T, R} = {120000} {1 + 0.8}

A{T, R} = {120000 x 1.8}

A{T, R} = 216000

Therefore, the Sutton family's condo's worth in 8 years will be $216000.

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Which of the following best approximates the line of best fit?
sorry that it's hard to see​

Answers

Answer:

A

Step-by-step explanation:

Remark

The line that has the best fit is one who distance above the line is the same as the distance below the line.

That statement means that if you take each point above the line and measure its (perpendicular) distance to the line and add all the distances of those points above the line together, you should get the same distance for the points below the line.

So why is A the best answer?

It's because the distance of the three points above the line should come close to the distance the 3 points are below the line.

Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of chopped celery and 2 cups of mayonnaise. What is the total amount of ingredients in ratios?

Answers

Answer:

s

Step-by-step explanation:

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