At a certain remote lake, Maria has identified 2 particularly good

Question

At a certain remote lake, Maria has identified 2 particularly good locations to catch fish. At a location by a fallen tree, the expected yield from fishing is approximately 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 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 half 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).

On the assumption that no one else will be fishing at either location for several days before Maria's planned trip, select for Fallen tree and for Lily pads the numbers of hours Maria should spend at each of the two locations in order to maximize the expected yield from fishing during the time she plans to fish. Make only two selections, one in each column.

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Official Answer

Fallen Tree: 4 Lily Pads: 2

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ShilpiAgnihotrii · Answer

In the 1st and the 2nd hour, lilly pads will give the maximum yield, rest by the fallen tree.

Parisha_Agarwal · Answer

The max output that Maria will obtain will be 8.5kgs.

That is only possible from spending 4 hours at Fallen Tree (4kg) and 2 at Lilly Pads (4.5kg-3+1.5kg)

anushad10 · Answer

How do you we know that the max output Maria will obtain will be 8.5Kgs?

callingTardis · Answer

since we have to maximise the yield lets start with lily pads:
1st hour: 3
2nd hour: 1.5
3rd hour: 0.75(its better to switch to fallen tree which give 1 per hour)
therefore, dont fish at lily pads for more than 2 hours.

CA_Mahi · Answer

Maximum output near lily pads:
In 1st hour - 3 kg
In 2nd hour - 1.5 kg (Half of previous hour)
In 3rd hour - 0.75 (Half of previous hour) and so on But since 3rd hour, yield is lesser than fallen tree
To maximise the yield - She will spend 2 hours at lily pad and rest at fallen tree since its yield is consistently 1 kg per hour

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At a certain remote lake, Maria has identified 2 particularly good

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GMAT Two-part Analysis (TPA) Questions

At a certain remote lake, Maria has identified 2 particularly good

Prep Toolkit

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My Rewards