21. The Captain of a 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: Batting positions Batsmen II III IV P 40 40 35 25 50 42 30 16 25 27 R 50 48 40 60 50 at od S 20 19 20 18 25 T 58 60 59 55 53 (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: Batting position : Average runs : I II III IV V 45 52 38 50 49 is added to the team, should he be included to play in team? If so, who will be replaced by him?

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21. The Captain of a 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:
Batting positions
Batsmen
II
III
IV
40
40
35
25
50
42
30
16
25
27
no otime
R
50
48
40
60
50
S 20
19
20
18
25
T
58
60
59
55
53
(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:
Batting position :
I
II
III
IV
V
Average runs :
45
52
38
50
49
is added to the team, should he be included to play in team? If so, who will be replaced by him?
Transcribed Image Text:21. The Captain of a 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: Batting positions Batsmen II III IV 40 40 35 25 50 42 30 16 25 27 no otime R 50 48 40 60 50 S 20 19 20 18 25 T 58 60 59 55 53 (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: Batting position : I II III IV V Average runs : 45 52 38 50 49 is added to the team, should he be included to play in team? If so, who will be replaced by him?
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