Optimization: Fence Problem 1
- Author:
- hpp3
A farmer needs to enclose a field with a fence. She has 10 meters of fencing material. Determine the dimensions of the field that will enclose the largest and smallest areas.
Instructions:
- Drag the purple 'X' or use the 'Show Animation' and 'Stop Animation' Buttons to change the dimensions of the field.
- Click the check box 'Show Area' to show or hide the calculated area.
- Check your predictions by changing the dimensions of the field until the calculated area is the greatest.
- Check your predictions by changing the dimensions of the field until the calculated area is the smallest.
- What is the domain for this problem? That is, what are the possible values for the width of the field?
- What is the range for this problem? That is, what are the possible values for the height of the field?
- Write an equation for the amount of fence the farmer has (this is your constraint).
- Write an equation for the area of the field (this is what your are maximizing or minimizing).