lecture28a - Lecture 28 (Chapter 4, Section 28):...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 28 (Chapter 4, Section 28): Optimization Problems ex. Find two nonnegative numbers so that the prod- uct of the flrst and the square of the second is a max- imum, if the sum of the flrst and 4 times the second is 600. 2 To Solve an Optimization Problem 1. Read the problem carefully to determine the quan- tity Q that you are trying to optimize, and the conditions involved. 2. Draw a sketch if possible and assign symbols to known and unknown quantities. 3. Find the function representing the quantity to be optimized ( Q ): the Primary Function 4. Find an equation relating the variables involved (the Constraint ) and write the primary function as the function of a single variable. 5. Use calculus to flnd the desired maximum or min- imum; check your result. 3 ex. A closed rectangular box is to be constructed with a surface area of 48 square feet so that its length is twice the width. What dimensions will maximize the volume of the box? What is the maximum vol- ume? 4 First Derivative Test for Absolute Extreme Values Let c be a critical number of a continuous function...
View Full Document

This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

Page1 / 14

lecture28a - Lecture 28 (Chapter 4, Section 28):...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online