At a certain remote lake, Maria has identified \(\mathrm{2}\) particularly good locations to catch fish. At a location by a fallen tree, the expected yield from fishing is approximately \(\mathrm{1\,kg}\) of fish per hour, no matter how long she has been fishing there. At a nearby location near some lily pads, the expected yield is \(\mathrm{3\,kg}\) of fish in one hour, provided no one has been fishing there for at least a day. Each subsequent hour Maria spends fishing at the lily pads will have \(\frac{1}{2}\) the expected yield as that of the hour before it. Maria plans to fish from 4:00 to 10:00 tomorrow morning, each hour at one of these two locations, switching exactly one time (at the beginning of one of the hours).
