Answer to Question #84342 in Quantitative Methods for Ra

Question

A 400-metre medley relay involves four different swimmers, who successively swim 100 metres of backstroke, breakstroke, butterfly and freestyle. A coach has six very fast swimmers whose expected times (in seconds) in the individual events are as follows:
Swimmer Time(in seconds)
Event1 Event2 Event3 Event4
A 65 73 63 57
B 67 70 65 58
C 68 72 69 55
D 67 75 70 59
E 71 69 75 57
F 69 71 66 59
How should the coach assign swimmers to the relay so as to minimise the sum of their times?

Answer 1

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