1) Suppose that demand for local cable TV service is given by p = 80 – 0.4x where p is the dollars and x is the number of subscribers (in hundreds), (subscribers = số lượng thue bao.) (a) Find the total revenue as a function of the number of subscribers. (b) Find the number of subscribers when the company charges $50 per month for cable service. Then find the total revenue for p=50 USD. (c) How could the company attract more subscribers? d) Find and interpret the marginal revenue when the price is 50 USD per month. What does this suggest about the monthly charge to subscribers?
1) Suppose that demand for local cable TV service is given by p = 80 – 0.4x where p is the dollars and x is the number of subscribers (in hundreds), (subscribers = số lượng thue bao.) (a) Find the total revenue as a function of the number of subscribers. (b) Find the number of subscribers when the company charges $50 per month for cable service. Then find the total revenue for p=50 USD. (c) How could the company attract more subscribers? d) Find and interpret the marginal revenue when the price is 50 USD per month. What does this suggest about the monthly charge to subscribers?
Chapter5: Elasticity Of Demand And Supply
Section: Chapter Questions
Problem 1.1P: (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of...
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![1) Suppose that demand for local cable TV service is given by p = 80 – 0.4x where p is the monthly price in
dollars and a is the number of subscribers (in hundreds). (subscribers = số lượng thuế bào.)
%3D
(a) Find the total revenue as a function of the number of subscribers.
O Fna the number of subscribers when the company charges $50 per month for cable service. Then find the total
revenue for p=50 USD.
(c) How could the company attract more subscribers?
(a) Find and interpret the marginal revenue when the price is 50 USD per month, What does this suggest about the
monthly charge to subscribers?
60x2
2) If the revenue function for a product is R(x)=.
2x +1
find the marginal revenue.
3) A firm has total revenues given by R(X
60x?
for x units of a product. Find the maximum revenue from sales
2x +1
of that product.
4) A company handles an apartment building with 70 units. Experience has shown that if the rent for each of the units
is $1080 per month, all the units will be filled, but 1 unit will become vacant for each $20 increase in the monthly
rate. What rent should be charged to maximize the total revenue from the building if the upper limit on the rent is
$1300 per month?
5) For R(x)=
2000x + 200 - x',
%3D
a) find the maximum average revenue.
b) show that R(x) attains its maximum at an x-value where R(x)= MR(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6401ac57-2226-416b-82d8-27ef6f8894fd%2F13f466c7-eeba-4af0-b0d8-f216aeded433%2Fdd1toll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Suppose that demand for local cable TV service is given by p = 80 – 0.4x where p is the monthly price in
dollars and a is the number of subscribers (in hundreds). (subscribers = số lượng thuế bào.)
%3D
(a) Find the total revenue as a function of the number of subscribers.
O Fna the number of subscribers when the company charges $50 per month for cable service. Then find the total
revenue for p=50 USD.
(c) How could the company attract more subscribers?
(a) Find and interpret the marginal revenue when the price is 50 USD per month, What does this suggest about the
monthly charge to subscribers?
60x2
2) If the revenue function for a product is R(x)=.
2x +1
find the marginal revenue.
3) A firm has total revenues given by R(X
60x?
for x units of a product. Find the maximum revenue from sales
2x +1
of that product.
4) A company handles an apartment building with 70 units. Experience has shown that if the rent for each of the units
is $1080 per month, all the units will be filled, but 1 unit will become vacant for each $20 increase in the monthly
rate. What rent should be charged to maximize the total revenue from the building if the upper limit on the rent is
$1300 per month?
5) For R(x)=
2000x + 200 - x',
%3D
a) find the maximum average revenue.
b) show that R(x) attains its maximum at an x-value where R(x)= MR(x).
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