Solve the problem. The cost of producing x units of a commodity per week is C(x) = 0.3x3 - 9x² + 34x +500 Find all values of x where C "(x) = 0. How are %3D these levels of production related to the graph of the marginal cost? O x = 1. It corresponds to a maximum on the graph of C '(x). x = 10. It corresponds to a point of inflection on the graph of C '(x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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D Question 1
Solve the problem.
The cost of producing x units of a commodity
per week is
C(x) = 0.3x3 - 9x² + 34x +500
%3D
Find all values of x where C "(x) = 0. How are
%3D
these levels of production related to the
graph of the marginal cost?
O x = 1. It corresponds to a maximum on the
graph of C '(x).
X = 10. It corresponds to a point of inflection
on the graph of C '(x).
x = 10. It corresponds to a minimum on the
graph of C '(x).
x = 1. It corresponds to a minimum on the
graph of C(x).
Transcribed Image Text:D Question 1 Solve the problem. The cost of producing x units of a commodity per week is C(x) = 0.3x3 - 9x² + 34x +500 %3D Find all values of x where C "(x) = 0. How are %3D these levels of production related to the graph of the marginal cost? O x = 1. It corresponds to a maximum on the graph of C '(x). X = 10. It corresponds to a point of inflection on the graph of C '(x). x = 10. It corresponds to a minimum on the graph of C '(x). x = 1. It corresponds to a minimum on the graph of C(x).
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