Explanation Given information: If C ( q ) is the total cost to produce q units, then ∫ 0 1000 C ' ( q ) d q is the total amount it costs to produce 1000 units. Concept used: If F ' ( t ) is continuous for a ≤ t ≤ b , then ∫ a b F ' ( t ) d t = F ( b ) − F ( a ) . Calculation: 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 ∫ a b C ' ( q ) d q Represents the amount it costs to increase production from q = a units t o q = b units

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 5, Problem 45SYU

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Whether the statement “If C(q) is the total cost to produce q units, then ∫01000C'(q)dq is the total amount it costs to produce 1000 units” is true or false.

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Chapter 5, Problem 44SYU

Chapter 5, Problem 46SYU

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Chapter 5 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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To indicate: Whether the statement “If C ( q ) is the total cost to produce q units, then ∫ 0 1000 C ' ( q ) d q is the total amount it costs to produce 1000 units” is true or false.

Solution Summary: The author explains whether the statement "If C(q) is the total cost to produce q units" is true or false.

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To indicate:

Whether the statement “If C(q) is the total cost to produce q units, then ∫01000C'(q)dq is the total amount it costs to produce 1000 units” is true or false.

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Chapter 5 Solutions

To indicate: Whether the statement “If C ( q ) is the total cost to produce q units, then ∫ 0 1000 C ' ( q ) d q is the total amount it costs to produce 1000 units” is true or false.

Solution Summary: The author explains whether the statement "If C(q) is the total cost to produce q units" is true or false.

Concept explainers

Videos

To indicate: Whether the statement “If C(q) is the total cost to produce q units, then ∫01000C'(q)dq is the total amount it costs to produce 1000 units” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “If C(q) is the total cost to produce q units, then ∫01000C'(q)dq is the total amount it costs to produce 1000 units” is true or false.