A square cabin with a plot of land adjacent to a lake is shown in the accompanying figure. If a coordinate system is set up as indicated, with distances given in yards, the lakefront boundary of the property is part of the curve y = 10e^0.04x. Assuming that the cabin costs $2,000 per square yard and the land in the plot outside the cabin (the shaded region in the figure) costs $800 per square yard, what is the total cost of this vacation property?

8 y (yd) Lake Cabin 8 + 15 y = 10e0.04x -x (yd)