Economists who study production of goods by a firm consider two functions. The revenue function R(x) is the revenue the firm receives when x number of units are sold. The cost function C(x) is the cost the firm incurs when producing x number of units. The derivatives of these functions R' (x) and C'(x) are called by economists the marginal revenue and cost 5000 function. What does 1000 R' (x)dx represent? A. The increase in revenue when production is increased by 5000 units. B. The increase in revenue when production is increased from 1000 units to 5000 units. C. The increase in revenue when production is increased by 1000 units. D. The increase in revenue when production is increased from 0 units to 5000 units.

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 ________.
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Economists who study production of goods by a firm consider two functions. The revenue
function R(x) is the revenue the firm receives when x number of units are sold. The cost
function C(x) is the cost the firm incurs when producing x number of units. The derivatives of
these functions R' (x) and C'(x) are called by economists the marginal revenue and cost
5000
function. What does /1000 R'(x) dx represent?
A. The increase in revenue when production is increased by 5000 units.
B. The increase in revenue when production is increased from 1000 units to 5000 units.
C. The increase in revenue when production is increased by 1000 units.
D. The increase in revenue when production is increased from 0 units to 5000 units.
Transcribed Image Text:Economists who study production of goods by a firm consider two functions. The revenue function R(x) is the revenue the firm receives when x number of units are sold. The cost function C(x) is the cost the firm incurs when producing x number of units. The derivatives of these functions R' (x) and C'(x) are called by economists the marginal revenue and cost 5000 function. What does /1000 R'(x) dx represent? A. The increase in revenue when production is increased by 5000 units. B. The increase in revenue when production is increased from 1000 units to 5000 units. C. The increase in revenue when production is increased by 1000 units. D. The increase in revenue when production is increased from 0 units to 5000 units.
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