Fred owns four fishing boats on Seneca Lake. He knows from experience the follow

Question

Fred owns four fishing boats on Seneca Lake. He knows from experience the following information about the catch per boat depending on the total numbers of boats he sends to either the north or south end of the lake. Based on the table below, what is the optimal allocation of Fred's boats?

#boats at north end Catch/boat #of boats a south end Catch/boat
1 100 1 75
2 80 2 75
3 60 3 75
4 40 4 75

The answer is North end 1 and South end 3 but I don't understand how the south end gets 3 boats. Please explain!!!!!

Explanation / Answer

There are only so many combinations you can have. a)4N/0S b)1N/3S c)2N/2S d)3N/1S e)0N/4S If you put in the numbers a) 160+0=160 b) 100+225=325 c) 160+150=310 d) 180+75=255 e) 0+300=300 So as you can see, 1N and 3S is the best combination.

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