A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by the marginal-demand function 5000 D'(x) = 2 X where x is the price per unit, in dollars. Find the demand function if it is known that 1003 units of the product are demanded by consumers when the price is $5 per unit.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
icon
Related questions
Question
A company finds that the rate at which the quantity of a
product that consumers demand changes with respect to
price is given by the marginal-demand function
5000
D'(x) =
2
D(x)=
X
where x is the price per unit, in dollars. Find the demand
function if it is known that 1003 units of the product are
demanded by consumers when the price is $5 per unit.
Transcribed Image Text:A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by the marginal-demand function 5000 D'(x) = 2 D(x)= X where x is the price per unit, in dollars. Find the demand function if it is known that 1003 units of the product are demanded by consumers when the price is $5 per unit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill