The demand for a product is q = D(x) = V200 – x where x is the price. A. (6 pts) Find the elasticity of demand, E(x). B. (4 pts) Is demand elastic or inelastic when x=$150? C. (6 pts) Find the price x when revenue is a maximum. (Round to 2 decimal places)

Answers

Answer 1

A. The elasticity of demand is given by E(x) = x/(V200 - x)²

B.  The demand is inelastic at x=$150

C.  The price x that maximizes revenue is x=$100.

How to find the elasticity of demand?

A. The elasticity of demand is given by:

E(x) = -x(D(x)/dx)/(D(x)/dx)²

D(x) = V200 - x

Therefore, dD(x)/dx = -1

E(x) = -x(-1)/(V200 - x)²

E(x) = x/(V200 - x)²

How to find the demand is elastic or inelastic at x=$150?

B. To determine whether the demand is elastic or inelastic at x=$150, we need to evaluate the elasticity of demand at that point:

E(150) = 150/(V200 - 150)²

E(150) = 150/(2500)

E(150) = 0.06

Since E(150) < 1, the demand is inelastic at x=$150.

How to find the price x that maximizes revenue?

C. Revenue is given by R(x) = xD(x)

R(x) = x(V200 - x)

R(x) = V200x - x²

To find the price x that maximizes revenue, we need to find the critical point of R(x). That is, we need to find the value of x that makes dR(x)/dx = 0:

dR(x)/dx = V200 - 2x

V200 - 2x = 0

x = V100

Therefore, the price x that maximizes revenue is x=$100.

Learn more about revenue maximization

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Related Questions

yoo hii, could yall please help me!!

Answers

1. 9x-10 (I think)
2. B. x=6
12x - 6 - 3x + 4
Rewrite, if it helps, grouping like terms
12x - 3x -6 + 4
9x -2

For the second problem, the answer is B

-2x + 15 + 7x = 45
5x = 30
x = 6

please please answer will give brainliest

Answers

Answer:

c

Step-by-step explanation:

.5xBxH=.5x16x5=8x5=40

Answer:

c

Step-by-step explanation:

sources: dude trust me

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer:

16p^2 - 24p - 9

Step-by-step explanation:

I literally just took the test lol

PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))

Answers

Answer:

90 degree - 60 degree = 30 degree always remember yn will be 90 degree

Answer:

MN = π

Step-by-step explanation:

The arc MN is calculated as

MN = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )

      = 2π × 3 × [tex]\frac{1}{6}[/tex]

     = 6π × [tex]\frac{1}{6}[/tex]

     = π

The school production of​ 'Our Town' was a big success. For opening​ night, 391 tickets were sold. Students paid ​$4.00 ​each, while​ non-students paid ​$6.00 each. If a total of $1786 was​ collected, how many students and how many​ non-students attended?

Answers

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

find the value of z

Answers

Answer:

[tex] z = 12 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]

By Pythagoras Theorem:

[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6


Answers

Answer:

Step-by-step explanation:

x + 8 = -x - 6

2x + 8 = -6

2x = -14

x = -7

y = -7 + 8

y = 1

(-7, 1)

What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answers

Answer:

[tex]\frac{3x+4}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

= [tex]\frac{2x+7+x-3}{x+5}[/tex]

= [tex]\frac{3x+4}{x+5}[/tex]

Answer:

The answer is

[tex] \frac{3x + 4}{x + 5} [/tex]

Step-by-step explanation:

We can do this by using the denominators.

[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]

John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.

Answers

John would have 52 dollars left by the fourth week.
7(dollars spent each week) x 4 ( number of weeks)=28 (spent in 4 weeks)

80 - 28 =52

can some one help me please....

step by step explanation........ ​

Answers

Answer:

There are 77 members in the group.

Step-by-step explanation:

1Rs = 100 paise ( Indian Currency Conversion )

Given,

Total amount collected is = Rs 59.29

Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise

Condition :- Paise collection = Total number of members

Consider any of the above condition as X

So, X² = 5929

X = √5929 = 77

Thus, Total number of members in the group is 77 [ Option C ]

Hope this helps you.

what this answer
954328- 864597

Answers

Answer:

Answer is 89,731

Step-by-step explanation:

I hope it's helpful!

Answer:

89731

Step-by-step explanation:

954328 - 864597

= 89731

Hope this helps :)

Let me know if there is any mistake!!

find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104​

Answers

Answer:

find the mean median mean devialion

Help plssssssssssssss?

Answers

Answer:

2

Step-by-step explanation:

because when x, the input, is -3, the y, the output, is 3

Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?

Answers

Correct question is:

stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool

Answer:

$25.25

Step-by-step explanation:

The cost of the tool has been given as $35.

The price of this tool is then reduced by 5%.

When we apply this reduction to initial price

= 35 * 5%

= 35x0.05

= $33.25

If a coupon of 8 dollars is applied

The price to be paid for the tool will be

$33.25 - $8.00

= $25.25

Stu is going to pay $25.25 for the tool

What is the product of these two binomials?
(x^2 - 5)(2x - 1)

Answers

Step-by-step explanation:

Please refer to the attachment

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=2 Division Property of Equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

Given the equation 4(x-5) = -12

Expand

4x - 20 = -12

Add 20 to both sides (addition property of equality)

4x-20+20 = -12+20

4x = 8

x = 8/4

x = 2

Hence the value of x is 2

The justification for step 2 is addition property of equality

A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?​

Answers

Answer:

15 feet tall hi hi hi hi hi hi

Answer:

10

Step-by-step explanation:

The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.

I need the steps also

Answers

Answer:

AED 3000

Step-by-step explanation:

Let the invested amount is x

Interest rate is r = 5% simple = 0.05 timesTime is t =  3 yearsInterest amount I = AED. 450

Using the interest formula and solving for x:

P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000

The amount invested is AED 3000

a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent

using the scientists prediction, create an equation that models the population of bats, y, after t years.

Answers

Answer:

Step-by-step explanation:

y = 270,000 ×1.029^t

Graph the following features:
• Slope = 2
Y-intercept = -5

Answers

y = mx + b

y = 2x - 5

you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.

it should look like this:

hope this helps !!

The equation is y=2x-5

que son monomios? y 4 ejemplos

Answers

una expression algebraic

5x9

xy²

8x6y

3x

please please help! i just answered a few questions just to post this im using all my points.

Answers

Answer:

Step-by-step explanation:

∠RST=180-44-15

         =121°

In ΔRST and ΔLMN,

∠RST=∠LMN (proven)

∠TRS=∠NLM (given)

∴ΔRST ~ ΔLMN (AA)

Answer:

Yes

Step-by-step explanation:

If all the angles in the triangles are the same, then the triangles are similar.

ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121

ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15

Both triangles share the same angles (44,15 and 121), so they are similar.

Graphf (x) = 3x + 4 and a h(x) = -f(x).

Answers

Answer:

I think the answer is 56 .

Please help me on this I need help and nobody is really helping

Answers

I believe the answer is (0,0)

Answer:

(0,0)

Step-by-step explanation:

That is the middle.

How do i identify the minimum

Answers

Answer:

to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers

Clasificación de los ángulos de acuerdo a sus aberturas

Answers

Answer:

recto, agudo, obtuso, liano, completo, convexo, cóncavo

Step-by-step explanation:

which sentence demonstrates the multiplicative identity?

1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•

Answers

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Answer:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

Calculate the slope of the graph

Answers

U need to calculate right and bottom squares. Like 1/2
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