A rectangular lot that borders a river is to be fenced with two types of fencing. The side that borders the river will not be fenced. The side opposite the river will be fenced with material costing $1.50 per foot, and the other dimension will be fenced with material costing $2.50 per foot. See the diagram below. $2.50/ft river $1.50/ft $2.50/ft Use calculus techniques to find the maximum area that can be fenced for $9300 and the dimensions of the lot that maximize the area. Clearly show your work, which should include a well-labeled sketch.