The demand curve of a firm is p=1200 – 2lq and its total cost is C(q) = 2q° – 66q² + 600q +1000 where q is the output of the firm (in thousands). Is the rate of change of profit increasing or decreasing when the output level of the firm is 10,000 units? Determine the level of output at which profit is maximized.

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 ________.
icon
Related questions
Question
The demand curve of a firm is p=1200– 21q and its total cost is
C(q) =2q² – 66q² + 600q +1000 where q is the output of the firm (in thousands).
Is the rate of change of profit increasing or decreasing when the output level of the firm is
10,000 units?
Determine the level of output at which profit is maximized.
Transcribed Image Text:The demand curve of a firm is p=1200– 21q and its total cost is C(q) =2q² – 66q² + 600q +1000 where q is the output of the firm (in thousands). Is the rate of change of profit increasing or decreasing when the output level of the firm is 10,000 units? Determine the level of output at which profit is maximized.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning