Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 a. Find a model that expresses the revenue R as a function of x .

Question

Want to see the full answer?

Answer 1

Question

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

20 2. Let A = = [ -2 0 1 3 ] and B = 2 3 -1 2 For each of the following, calculate the product or indicate why it is undefined: (a) AB (b) BA

Answer the number questions with the following answers +/- 2 sqrt(2) +/- i sqrt(6) (-3 +/-3 i sqrt(3))/4 +/-1 +/- sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3)

1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]

Answer 2

Question

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Answer 6

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

Answer 7

Chapter 4.4, Problem 4AE

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

Answer 8

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

Answer 9

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

Answer 10

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

Answer 11

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

Answer 12

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

Answer 13

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

Answer 14

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Answer 15

To determine

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 19

Ch. 4.1 - Prob. 1AYP Ch. 4.1 - Prob. 2AYP Ch. 4.1 - Prob. 3AYP Ch. 4.1 - Prob. 4AYP Ch. 4.1 - Prob. 5AYP Ch. 4.1 - Prob. 6AYP Ch. 4.1 - Prob. 7CV Ch. 4.1 - Prob. 8CV Ch. 4.1 - Prob. 9CV Ch. 4.1 - Prob. 10CV

Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 a. Find a model that expresses the revenue R as a function of x .

To find: Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 a. Find a model that expresses the revenue R as a function of x .

To find: Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 b. What is the domain of R ?

To find: Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 c. What is the revenue if 100 units are sold?

To find: Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 d. What quantity x maximizes revenue? What is the maximum revenue?

To find: Maximizing Revenue. The price p (in dollars) and the quantity x sold of a certain product obey the demand equation, p = − 1 3 x + 100 e. What price should the company charge to maximize revenue?

Want to see the full answer?

Chapter 4 Solutions

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

a. Find a model that expresses the revenue $R$ as a function of $x$ .

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

b. What is the domain of $R$ ?

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

c. What is the revenue if 100 units are sold?

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

d. What quantity $x$ maximizes revenue? What is the maximum revenue?

To find: Maximizing Revenue. The price $p$ (in dollars) and the quantity $x$ sold of a certain product obey the demand equation,

$p = - \frac{1}{3} x + 100$

e. What price should the company charge to maximize revenue?