This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: 1 Practice exercises for Exam 3 Just like the previous ones, this practice set was designed assuming you have solved all of the homework problems to date, and reviewed your lecture notes. Applied optimization 1. An indoor physical fitness room will consist of a rectangular region with a semicircle at each end (as shown on the picture). The perimeter of the room is to be a 200m track. Find the dimensions of the rectangular region that will maximize its area (i.e. the area of the rectangular region). 2. The width and the height of a box add up to 2 ft, and the length of the box is 1 ft more than its height. What dimensions will maximize the volume of this box? 3. You need to build an open-top box having the volume 2 ft 3 . The base of the box must be a square, and will be made of steel which costs $2 per square foot. The sides will be made of copper, $4 per square foot. What dimensions will result in minimal cost?...
View Full Document
- Spring '08
- dx, dx dx, dx d dx