Explanation Given information: If C ( q ) is the cost to produce q units, then ∫ 100 200 C ' ( q ) d q is the total amount it costs to increase production from 100 to 200 units. Concept used: If F ' ( t ) is continuous for a ≤ t ≤ b , then ∫ a b F ' ( t ) d t = F ( b ) − F ( a ) . We know that if C ' ( q ) is the rate of change of the cost function with respect to quantity, then by the fundamental theorem, the integral

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5, Problem 44SYU

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Whether the statement “If C(q) is the cost to produce q units, then ∫100200C'(q)dq is the total amount it costs to increase production from 100 to 200 units” is true or false.

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Chapter 5, Problem 43SYU

Chapter 5, Problem 45SYU

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APPLIED CALCULUS-WILEYPLUS

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To indicate: Whether the statement “If C ( q ) is the cost to produce q units, then ∫ 100 200 C ' ( q ) d q is the total amount it costs to increase production from 100 to 200 units” is true or false.

Solution Summary: The author explains that if C(q) is the cost to produce q units, then the fundamental theorem, the integral, is true.

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To indicate:

Whether the statement “If C(q) is the cost to produce q units, then ∫100200C'(q)dq is the total amount it costs to increase production from 100 to 200 units” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “If C ( q ) is the cost to produce q units, then ∫ 100 200 C ' ( q ) d q is the total amount it costs to increase production from 100 to 200 units” is true or false.

Solution Summary: The author explains that if C(q) is the cost to produce q units, then the fundamental theorem, the integral, is true.

Concept explainers

Videos

To indicate: Whether the statement “If C(q) is the cost to produce q units, then ∫100200C'(q)dq is the total amount it costs to increase production from 100 to 200 units” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “If C(q) is the cost to produce q units, then ∫100200C'(q)dq is the total amount it costs to increase production from 100 to 200 units” is true or false.