Finding a function

Question

Help! Building a fence adjacent to a road and the fence along the road has to be stronger and costs $5 per foot. The fencing on the other sides cost $3 per foot. The area of the garden you are fencing is 2000 square feet. Since square maximizes area, using square what function would I use in terms of cost of its sides?

And how would I find the dimensions that minimize the cost of fencing?

Answer 1

sqrt(2000) =

sqrt(2 * 10 * 10 * 10) =

10 * sqrt(20)

so the cost is:

10 * Sqrt(20) * ( 3 + 3 + 5) =

110 * sqrt(20)

$491.94