Suppose you are managing a forest reserve, and one of your goals is to protect local populations of woodland birds from parasitism by the brown-headed cowbird. You know that female cowbirds don't venture more than about $100 \mathrm{~m}$ intoa forest and that nest parasitism is reduced when woodland birds nest away from forest edges. The reserve extends about $6,000 \mathrm{~m}$ from east to west and $3,000 \mathrm{~m}$ from north to south. It is surrounded by a deforested pasture on the west, an agricultural field for $500 \mathrm{~m}$ in the southwest corner, and intact forest everywhere else. You must build a road, $10 \mathrm{~m}$ by $3,000 \mathrm{~m},$ from the north to the south side of the reserve and construct a maintenance building that will take up $100 \mathrm{~m}^{2}$. Draw a map of the reserve and explain where you would put the road and building to minimize cowbird intrusion along edges.