Homework Answers
given,
R(x) = 10x-0.005x2
a= 1003 and b = 1007
R(1003) = 10(1003) - 0.005(1003)2 = 4999.955
R(1007) = 10(1007) - 0.005(1007)2 = 4999.755
thus the average rate of change in revenue is,
A(x) = (R(b) - R(a)) / (b-a) = (R(1007)-R(1003)) /
(1007-1003)
= (4999.955-4999.755) / 4 = 0.05
hence, the average rate of change in revenue is $0.05 per unit
b) MR = 10-0.005(2x) = 10-0.01x
MR (600) = 4
hence, the marginal revenue at x=600 is $4 per unit
Add Answer to:
The revenue (in thousands of dollars) from producing x units of an item is modeled by...
please do part a and b Homework: Section 11.3 Homework Score: 0 of 1 pt 48...
please do part a and b
Homework: Section 11.3 Homework Score: 0 of 1 pt 48 of 8 (4 complete) 11.3.31-BE The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 8x -0.01x2. a. Find the average rate of change in revenue as x changes from 1004 to 1007 b. Find the marginal revenue at x = 700. a. The average rate of change in revenue is dollars per unit. (Do not...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
The function f(x) - 0 04x500 represents the rate of flow of money in dollars per...
The function f(x) - 0 04x500 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (A) the present value and (b) the accumulated amount of money sowat 10 (A) The present value iss (Do not round until the final answer. Then round to the nearest cent as needed.) (B) The accumulated amount of money flow at 10 is $ (Do not round until the final answer. Then round to...
The function f(x) = 900 represents the rate of flow of money in dollars per year....
The function f(x) = 900 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (A) the present value, and (B) the accumulated amount of money flow at t = 10. (A) The present value is $ (Do not round until the final answer. Then found to the nearest cent as needed) (B) The accumulated amount of money flow at t = 1053 (Do not round until the final answer....
please do all three parts:)thanks a ton Cost, revenue, and profit are in dollars and x...
please do all three
parts:)thanks a ton
Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product changes at the rate C'(x) = -8x-2 + and the average cost of 8 units is $12.00. (a) Find the average cost function. T(X) = (b) Find the average cost of 16 units. (Round your answer to the nearest cent.) Cost, revenue, and profit are in dollars and x is the number of...
The demand for a new computer game can be modeled by p(x) = 58 -8 In...
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
The demand for a new computer game can be modeled by p(x) = 58 -8 In...
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
please do part a and b
Homework: Section 11.3 Homework Score: 0 of 1 pt 48 of 8 (4 complete) 11.3.31-BE The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 8x -0.01x2. a. Find the average rate of change in revenue as x changes from 1004 to 1007 b. Find the marginal revenue at x = 700. a. The average rate of change in revenue is dollars per unit. (Do not...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
The function f(x) - 0 04x500 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (A) the present value and (b) the accumulated amount of money sowat 10 (A) The present value iss (Do not round until the final answer. Then round to the nearest cent as needed.) (B) The accumulated amount of money flow at 10 is $ (Do not round until the final answer. Then round to...
The function f(x) = 900 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (A) the present value, and (B) the accumulated amount of money flow at t = 10. (A) The present value is $ (Do not round until the final answer. Then found to the nearest cent as needed) (B) The accumulated amount of money flow at t = 1053 (Do not round until the final answer....
please do all three
parts:)thanks a ton
Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product changes at the rate C'(x) = -8x-2 + and the average cost of 8 units is $12.00. (a) Find the average cost function. T(X) = (b) Find the average cost of 16 units. (Round your answer to the nearest cent.) Cost, revenue, and profit are in dollars and x is the number of...
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
Most questions answered within 3 hours.
-
Physics: Need help with inclined planes.
- Say an object is moving down an inclined plane...
asked 37 seconds ago -
A mortgage of $200,000 is amortized over 25 years using level
payments at the end of...
asked 2 minutes ago -
Describe the process of nitrogen excretion in the body. List 4
steps and explain each step
asked 32 minutes ago -
Determine the inductance of a solenoid with 670 turns in a
length of 29 cm ....
asked 18 minutes ago -
Summarize the ways through which sales and operations
planning can be integrated. Then, extend your findings...
asked 19 minutes ago -
Label the image to renview the relative resistance of various
microbes to microbial control agents
asked 37 minutes ago -
PLEASE DO BOTH #5 AND #6.
The purpose of the project is to perform a timing...
asked 29 minutes ago -
Power and privilege is best defined as:
a system in which two or more parties work...
asked 33 minutes ago -
Hewlett Packard is considering an investment project that
requires an initial investment of $20 million. The...
asked 38 minutes ago -
9.
While a ball falls to the ground, it accelerates continuously and
so increases its momentum....
asked 52 minutes ago -
The wave functions for two harmonic waves are given by
D1(x,t)
=(0.3m)sin(2.0x−3.0t),
D2(x,t)
=(0.3m)sin(2.0x−3.0t+π/2)
where x...
asked 48 minutes ago -
1 [Run Lengths] Write a function (in Python and numpy) with the
following specification def run_lenths(n,...
asked 48 minutes ago