For the cost function below, where C is the cost of producing x units of a product, find the marginal-cost function. What is the marginal cost at the given value of x? C(x) = 0.03x° + 0.3x2 + 40x + 110; x = 1000 The marginal-cost function is C'(x) = The marginal cost when x = 1000 is $ (Round to two decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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For the cost function below, where C is the cost of producing x units of a product, find the marginal-cost function. What is the marginal cost at the given value of x?
C(x) = 0.03x° + 0.3x2 + 40x + 110; x= 1000
The marginal-cost function is C'(x) = |
The marginal cost when x = 1000 is
(Round to two decimal places as needed.)
Transcribed Image Text:For the cost function below, where C is the cost of producing x units of a product, find the marginal-cost function. What is the marginal cost at the given value of x? C(x) = 0.03x° + 0.3x2 + 40x + 110; x= 1000 The marginal-cost function is C'(x) = | The marginal cost when x = 1000 is (Round to two decimal places as needed.)
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