ost function is given. C(q) - 3900 + 69 -0.01q2 +0.0003q³ (a) Find the average cost and marginal cost functions. average cost marginal cost (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer t units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Calculus
A cost function is given.
C(q) = 3900 + 6q-0.01q2 + 0.0003q³
(a) Find the average cost and marginal cost functions.
average cost
marginal cost
(b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to
units
(c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.)
$
(d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.)
$
Transcribed Image Text:A cost function is given. C(q) = 3900 + 6q-0.01q2 + 0.0003q³ (a) Find the average cost and marginal cost functions. average cost marginal cost (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $
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