Mathematics College

b) If the marginal revenue function for output x is given by MR = C, where a, b, c, m and n are constant. mn (ax+b)² Prove that the demand function is p mn b(ax+b) C.
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Answers

Answer 1

The demand function is given by the expression -

D{x} = mn(a²x + 2b + b²)

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the revenue function as follows -

f(x) = mn (ax + b)²

The revenue function is simply [x] multiplied by the demand function.

R{x} = x (D{x})

The revenue function is -

f(x) = mn (ax + b)²

So, the demand function can be written as -

mn(ax + b)² = x (D{x})

D{x} = {mn(ax + b)²}/x

D{x} = {mn(a²x² + b² + 2abx)}/x

D{x} = {a²x²mn + mnb² + 2bmnx}/x

D{x} = a²xmn + 2bmn + mnb²

D{x} = mn(a²x + 2b + b²)

Therefore, the demand function is given by the expression -

D{x} = mn(a²x + 2b + b²).

To solve more questions on functions, expressions and polynomials, visit the link below -

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Related Questions

HELP DUE SUPER SOON!!
A university has 32,040 students. In a random sample of 270 students, 18 speak three or more languages
Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is

Answers

Answer:

2022 students

Step-by-step explanation:

Since 18 out of 270 students speak three or more languages, a prediction would be 30,330 x 18/270 = 2,022 students

Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
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Answers

9514 1404 393

Answer:

  (a)  28

Step-by-step explanation:

Kruskal's algorithm has  you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.

Starting at E, the node list is EHGBACDF. The cost is ...

  3 +4 +5 +1 +6 +7 +2 = 28

__

In the attached, the minimum-cost spanning tree is highlighted in red.

How many almonds in the cup? (1/4 cup) Help me​

Answers

Answer:

The amount of almonds in the fourth cup are 40

Find the compound interest on an investment of $8,000 at 6% compounded semiannually for 3 months.
a) $9,552.80
b) $1,552.80
c) $1,500.00
d) $9,500.00
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It’s a I think. I hope you get it right /)

A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.

EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP

Answers

By adding 4 toppings, the price jumped up 6$ from the 2 toppings. So we can assume that ever 2 toppings it costs 6$. Divide 6 by 2 and you get 3$ per topping.

Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answers

Answer:

I think the answer is m= -1/3 b=7/3

Explanation:

so first, you need to make equations using the info that the question gave.

f(-2)= m(-2)+b f(4)= m(4)+b

= -2m+b =4m+b

f(-2)= 3 f(4)= 1

-2m+b= 3 4m+b=1 -(2)

b= 3+2m -(1)

substitute (1) into (2) : 4m+(3+2m)=1

4m+2m+3=1

6m=1-3

6m= -2

m= -2/6

m= -1/3

Substitute m= -1/3 into (2)

4(-1/3) + b=1

-4/3 +b =1

b= 1+ 4/3

b= 7/3

Therefore, m= -1/3 b=7/3

and that's how you do it

If −6n=−48
then n=
HELP PLEASE

Answers

Answer:

8

Step-by-step explanation:

3392 divided by 56 x 986 -34 help​

Answers

Answer:

59,689.43 (rounded)

Step-by-step explanation:

I cN explain how to get to the answer if you'd like

Anyone know this?? Thanks

Answers

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The figure is a rhombus when the sides are the same length.

  21 -x = 2x +9

  12 = 3x . . . . . . . . add x-9 to both sides

  4 = x . . . . . . . . . . divide by 3

Asap need help fast pls!!!!!!

Answers

Answer:

i think its 20 too, tho good luck

Step-by-step explanation:

The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star.

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We need a picture for that lol for taht

Which statement is true help

Answers

Answer:

The correct one is 6 is 3 times as many as two.

Step-by-step explanation:

can someone help pls?

Answers

try googling it thats what I would do. I think it would be 1/6 tho

please help me(i'm not smart so i don't get this at all T-T)

Answers

Answer:

Step-by-step explanation:

6x4=24+1=25 75/25=3 .

oh and btw go back to high school

12 pieces ! ( > < )

for future reference, this will be a lot easier to do than using points !! so simple :))

use your calculator to divide the large number by the small number !! that should give your answer

and remember if a fraction is out of four think of it like quarters or 25 cents :3

so 75 divided by 6.25 is 12 !!

good job !!! ♡♡


A) 79.2
C) 11.9
B) 8.9
D) 11.6

Answers

Answer:

789

Step-by-step explanation:

8 students share 7 oranges. How many oranges does each student get?

Answers

Step-by-step explanation:

every student will get 7 slices ....I think si

ian charges $15 per hour to landscape. if ian hired for more then six hours, he will reduce the cost by $1.50 per hour. write an expression to show the total cost of hiring ian for h hours if he landscapes for more then six hours?

Answers

Answer:

87

Step-by-step explanation:

87 because 15 times 6 equals 90 but take away the 1.50 from eah hou and you get 87

i need help with this

Answers

Answer:

b≈41.95

Step-by-step explanation:

The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?​

Answers

The answer would be: 250 girls

Answer:

250 girls

Step-by-step explanation:

Boys = Girls

250 = Girls

help i will give brainliest

Answers

0.329, 127.5, and -89 is rational. Square root of 101 is irrational.

If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?

Answers

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

132=3x

x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

NEEDED ASAP PLEASE. 22-32 will give brqinliest no trolls

Answers

22: 4x+8
23: 3x+21
24: 10x+35
27:39
28:48
29:36
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Suppose that 93% of approximately 1000 total dogs sold by a shelter are up-to-date on their shots. Administration plans to take an SRS of 40 dogs sold by the shelter to see what proportion of the dogs sampled are up-to-date on their shots. What are the mean and standard deviation of the sampling distribution of the proportion of dogs who are up-to-date on their shots? Choose 1 answer:

Answers

Answer: μp^​​​​ = 0.93

σp^ = √0.93(0.07)/40​​​

Step-by-step explanation:

A bag of potatoes weighs 15 pounds. How many kilograms is this?​

Answers

Answer:

6.8 kg

Step-by-step explanation:

1 pound = 0.4536 kg

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A box of 15 cookies cost nine dollars what is the cost for one cookie

Answers

Answer:

9:15 = 0.6

answer : 0,6

.............

Annie had 24 more paper clips than Paul.Paul had 20% fewer paper clips than Annie. How many paper clips do they have altogether help

Answers

Answer:

43.20

Step-by-step explanation:

100%=24

1%=24÷100=0.24

100+80=180

180%=0.24×180=43.20

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report)

Answers

It will take jen 20 weeks till she can get a new camping tent

3/4
of 7 please answer quick

Answers

Answer:

5 and 1/4

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Will give brainliest!!

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c

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B and C

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Can someone help me solve?




A. 72
B. 4.5
C. 144
D.9​

Answers

Answer:

C: 144

Step-by-step explanation:

3 in. × 3 in. = 9

9 in. × 16 in. = 144 in.

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