Modeling and Optimization

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Presentation transcript:

Modeling and Optimization Chapter 5 Applications of Derivatives Section 5.4 Modeling and Optimization

Quick Review

Quick Review Solutions

What you’ll learn about Development of a mathematical model Analysis of the function used to model the situation Identification of critical points and endpoints Identification of solution Interpretation of solution …and why Historically, optimization problems were among the earliest applications of what we now call differential calculus.

Strategy for Solving Max-Min Problems

Example Inscribing Rectangles

Maximum Profit

Example Maximizing Profit

Minimizing Average Cost

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