Consider the total cost function given by TC(Q) = 5Q³ — 10Q² + 16Q • Solve for the level of Q that will minimize average cost. Verify your answer using the first-derivative and second-derivative test. • Using your first-derivative test results in the first bullet, at which range of output is the slope of the average function positive? At which range of output is this slope of the average cost function negative? • Compute for the minimum average cost

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.7P
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Consider the total cost function given by TC(Q) = 5Q³ — 10Q² + 16Q
• Solve for the level of Q that will minimize average cost. Verify your answer using the first-derivative
and second-derivative test.
● Using your first-derivative test results in the first bullet, at which range of output is the slope of
the average function positive? At which range of output is this slope of the average cost function
negative?
• Compute for the minimum average cost
Transcribed Image Text:Consider the total cost function given by TC(Q) = 5Q³ — 10Q² + 16Q • Solve for the level of Q that will minimize average cost. Verify your answer using the first-derivative and second-derivative test. ● Using your first-derivative test results in the first bullet, at which range of output is the slope of the average function positive? At which range of output is this slope of the average cost function negative? • Compute for the minimum average cost
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