Download presentation
Presentation is loading. Please wait.
1
Optimization Problems
Section 3.7 Optimization Problems
2
Ex: Farmer John has 240 feet of fencing and wants to enclose a rectangular field that borders a straight river. If he needs no fence along the river, find the largest area the field can be.
3
Strategy for optimization
Draw a picture (if appropriate) Write down all given information and equations Find the function to be optimized Use substitution so the function has 1 variable Take the derivative Set the derivative equal to zero
4
Ex: A manufacturer is making a box with an open lid
Ex: A manufacturer is making a box with an open lid. The box will have a square base and a surface area of 108 square inches. What dimensions will produce a box with the maximum volume?
5
Ex: A can of soup has a volume of 1000 cubic centimeters
Ex: A can of soup has a volume of 1000 cubic centimeters. Find the dimensions of the can that will minimize the materials used.
6
Homework p. 223 # 3-7, 13, 17, 21, 22, 29
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.