23. The Captain ofa cricket team has to allot five middle batting positions to five batsmen. The average runs scored by each batsman at these positions are as follows:

(i) Find the assignment of batsmen to positions, which would give the maximum number of runs.
(ii) If another batsman 'U' with the following average runs in batting positions as given below:

is added to the team, should he be included to play in team? If so, who will be replaced by him?

Transcribed Image Text:

Batting positions Batsmen I II III IV V P 40 40 35 25 50 Q 42 30 16 25 27 RST 50 48 40 60 50 20 19 20 18 25 58 60 59 55 53