1. A rancher wishes to fence in a rectangular corral enclosing 1300 sq yards and must divide it in half with a fence down the middle. If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.
2. Find the point on the line y=2x-3 that is nearest to the origin.
Minimizing Perimeter of a Fence and Finding the Nearest Point on a Line are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.