Question

The small mountain town in which you live has been under attack from a roving group of woodland animals. The town needs to be surrounded by walls, but the population of 10,000 people is worried about being too crowded. They refuse to live in any walled-in space in which there will be on average more than 25 people per square mile. Your research indicates constructing the wall will cost $1000 per mile. Your task is to choose the length and width of the area which will be walled-in which minimizes cost while at the same time ensuring that people will not be too crowded. What are the appropriate dimensions?

Answer 1