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Chapter 2 Optimization Techniques and New Management Tools
Managerial Economics in a Global Economy, 5th Edition by Dominick Salvatore Chapter 2 Optimization Techniques and New Management Tools Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 1
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Expressing Economic Relationships
Equations: TR = 100Q - 10Q2 Tables: Graphs: Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 2
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Total, Average, and Marginal Cost
AC = TC/Q MC = TC/Q Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 3
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Total, Average, and Marginal Cost
Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 4
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Profit Maximization Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 5
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Profit Maximization Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 6
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Concept of the Derivative
The derivative of Y with respect to X is equal to the limit of the ratio Y/X as X approaches zero. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 7
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Rules of Differentiation
Constant Function Rule: The derivative of a constant, Y = f(X) = a, is zero for all values of a (the constant). Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 8
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Rules of Differentiation
Power Function Rule: The derivative of a power function, where a and b are constants, is defined as follows. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 9
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Rules of Differentiation
Sum-and-Differences Rule: The derivative of the sum or difference of two functions U and V, is defined as follows. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 10
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Rules of Differentiation
Product Rule: The derivative of the product of two functions U and V, is defined as follows. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 11
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Rules of Differentiation
Quotient Rule: The derivative of the ratio of two functions U and V, is defined as follows. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 12
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Rules of Differentiation
Chain Rule: The derivative of a function that is a function of X is defined as follows. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 13
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Optimization With Calculus
Find X such that dY/dX = 0 Second derivative rules: If d2Y/dX2 > 0, then X is a minimum. If d2Y/dX2 < 0, then X is a maximum. Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 14
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New Management Tools Benchmarking Total Quality Management
Reengineering The Learning Organization Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 15
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Other Management Tools
Broadbanding Direct Business Model Networking Pricing Power Small-World Model Virtual Integration Virtual Management Prepared by Robert F. Brooker, Ph.D Copyright ©2004 by South-Western, a division of Thomson Learning. All rights reserved. Slide 16
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