B In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x – 0.02x², respectively. 21. Average cost function 22. Average revenue function 23. Marginal average cost function 24. Marginal average revenue function

B In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x – 0.02x², respectively. 21. Average cost function 22. Average revenue function 23. Marginal average cost function 24. Marginal average revenue function

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

See similar textbooks

Related questions

Q: 3. A company with monopolistic control in the market has fixed weekly costs of $5,000 and per unit…

A: A company with monopolistic control in the market has fixed weekly cost of $5000 and per unit costs…

Q: 0.7 − e−0.5y (in billions of dollars) and that consumption is $7.5 billion when disposable…

Q: 4. Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A: It is given that annual cost is C'x=x2+65x and annual savings is S'x=212-x2. (a) Suppose P'(x) is…

Q: S/dy = 0.2 + e−1.5y (i

Q: uppose the marginal prosperity to consume is (dC)/(dy)=0.04+(\ln (y+1))/(y+1)(in billions of…

Q: 2) Using the cost function from problem 1, and the demand function given here: p(x) = -1.1x + 305,…

Q: If consumption is $6.7 billion when income is $1 billion and if the marginal propensity to consume…

Q: Suppose that the marginal propensity to consume is dC dy = 0.4 − e−2y (in billions of…

A: Answer: C(y)=0.4y+12e-2y+4.9

Q: Solve the problem. 23) Find a company's total-cost function if its marginal cost function is C'(x) =…

Q: Suppose that the marginal propensity to consume is dc = 0.2 - e-2y (in billions of dollars) dy and…

A: Given, dCdy = 0.2 -e-2y When y = 0 the C = 5.4

Q: If consumption is $3.7 billion when income is $1 billion and if the marginal propensity to consume…

Q: Suppose that the marginal propensity to consume is dC = 0.9 – e-0.5y dy (in billions of dollars) and…

A: Let's find.

Q: 1. A company manufactures and sells x radios per week. If the weekly cost and revenue quations are…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If consumption is $3 billion when disposable income is $0 and if the marginal propensity to consume…

Q: 3. Suppose a production function is given by F(K, L) KL2; the price of capital is $10 and the price…

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =…

A: Explanation of the solution is given below...

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity ds = 0.1 +…

Q: Suppose that the marginal propensity to consume is dC = 0.4 – e-0.2y dy (in billions of dollars) and…

A: Given that marginal propensity is dC/dy=0.4-e-0.2y We need to find national consumption function…

Q: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to save is…

A: The disposable income is $0. The consumption at $0 disposable income is $9 billion. The marginal…

Q: Problem 3 - Integrals: The market for a particular consumer good has a demand function given by: q =…

Q: Suppose that the marginal propensity to save is ds = 0.93 dy In(y + 1) (in billions of dollars) y +…

Q: Consider the cost function C(x)C(x)=1,000+αx+1/4 x^2where x is the number of product units. If the…

Q: If consumption is $9 billion when disposable income is $0 and if the marginal propensity to consume…

A: Given C(0) = 9dCdY=11+Y+0.3

Q: In Problems 13–16, find the marginal revenue function. 13. R(x) = 4x – 0.01x² 14. R(x) = 36x –…

A: As per the guidelines, we are supposed to answer only one question. I request you to kindly repost…

Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

Q: If consumption is $4 billion when disposable income is $0, and if the marginal propensity to save is…

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

Q: B In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x…

A: cost function: C(x)=145+1.1xrevenue function: R(x)=5x-0.02x2

Q: If consumption is $3.9 billion when income is $1 billion and if the marginal propensity to consume…

A: given, dCdy=0.5+0.2y

Q: A In Problems 9–12, find the marginal cost function. 9. C(x) = 150 + 0.7x 10. C(x) = 2,700 + 6x %3D…

Q: Suppose that the marginal propensity to consume is dc = 0.8 - e-0.5y dy (in billions of dollars) and…

Q: Suppose that the marginal propensity to consume is dc - 0.9 - e-2y (in billions of dollars) and that…

Q: Suppose that the marginal propensity to save is ds = 0.24 dy (in billions of dollars) and that…

Q: 4. Suppose the demand function for a product is given by p = D(x) = 700 – 2x² and the supply…

Q: Suppose that the marginal propensity to consume is dC/dy = 0.6 − e−2y (in billions of…

A: Marginal propensity to consume is: dCdy=0.6-e-2y Also: C(0)=5.5

Q: Suppose that the marginal propensity to save is ds = 0.93 dy In(y + 1) (in billions of dollars) y +…

Q: The average pollen count in a city on day x of the pollen season is P(x) = 8x−0.2x2 (for 0 < x <…

A: Here, we are going to solve only one question and for the remaining question post the question…

Q: Suppose that your revenue function is given by R(x)=15x, your cost function is given by…

A: Profit=P(x)= revenue - cost

Q: A company is considering a new manufacturing process in one of its plants. The new process provides…

Q: Suppose that the marginal propensity to consume is dC = 0.3 – dy - e-2y (in billions of dollars) and…

A: Given- dCdy=0.3-e-2y To Find- The national consumption function Cy and the consumptionis $5.35…

Q: [In(x + 1)] The marginal cost of the xth box of light bulbs is 10 + , and the fixed cost is $1,000.…

A: We know that marginal cost function is the derivative of the total cost function, so total cost…

Q: Looking for solution for number 54

A: The given function is

Q: Suppose that the marginal propensity to consume is dC dy = 0.5 − e−0.5y (in billions of…

Q: In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = = 145 + 1.1x…

Q: 5. Suppose that the marginal propensity to save is = 0.2 – (in billions of dollars) ds %3D dy 3y+7…

Q: Suppose that the marginal propensity to save is ds = 0.3 – dy 1 (in billions of dollars) y + 1 and…

A: Given that marginal propensity to save is given by dSdy=0.3-1y+1. We know that, marginal propensity…

Q: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

Q: B In Problems 21-28, find the indicated function if cost and revenue are given by C(x) respectively.…

Q: Suppose that the marginal propensity to consume is dc = 0.07 + dy In(y + 1) (in trillions of…

Q: Consider a cost function of the form S 20, 000 + 980x – x² for 0 1,000. C(x) = In an attempt to…

A: Formula Used: power rule for derivatives: ddxxn=nxn-1. Right-hand and left-hand limit:…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

100%

I need help with #22, and #24. For those questions I need you to explain to me as you solve step by step and show me how to do it and the formulas you used. Thank You, for you service.

B In Problems 21–28, find the indicated function if cost and revenue
are given by C(x) = 145 + 1.1x and R(x) = 5x – 0.02r²,
respectively.
21. Average cost function
22. Average revenue function
23. Marginal average cost function
24. Marginal average revenue function

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B. Identity function F. Reciprocal function C. Square function G. Absolute value function D. Cube function H. Cube root function 11. 12. 13. 14. 15. 16. 17. 18.
In Problems 13–24, use the graph of the function f given.
In Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?
In Problems 13–24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin
3. A manufacturer determines that when x thousand units of a particular commodity are produced, the profit generated will be P(x) = -400x + 6800x – 12,000 dollars. At what rate is profit changing with respect to the level of production x when 9,000 units are produced?
1. A company estimates the profit for selling a certain commodity by the given function, P(x) = -x² +88x + 1200 where x is measured in units. Find the level(s) of production when the company will break even. %3D
9. The rate at which the value, V, of a painting changes t years after it is completed is given by the function RV(t). (a) If RV(t) + 4t + 10 (in dollars/year), what is the net change in the value of the painting from 1 year after it's completed to 4 years after it's completed? |6t + 2 (in dollars/year), give a lower estimate for the net change in the (b) If RV(t) value of the painting from 1 year after it's completed to 3 years after it's completed using a Riemann sum with 6 rectangles.
B In Problems 21-28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x respectively. – 0.02r?,
23. Suppose that total national consumption is given by a function C(x)=200-0.6x – 0.05x06, where x is the total national income. a. Determine the marginal propensity to consume. b. Determine the marginal propensity to save.