48799 o3 452892 2995 503 748 672 QUESTION THREE A small garment making unit has five tailors stitching five different types of garments. All the five tailors are capable of stitching all the five types of garments the output per day per tailor and the profit (K) for each type of garment are given below:. Garments 3 Tailors 1 A. 8 B. E. Profit per garment a) Which type of garment should be assigned to which tailor in order to maximize profit, assuming that there are no other constraints? b) If tailor D is absent for a specified period and no other substitute tailor is available, what should be the optimal assignment?

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34528O2
2996O583
45
ABCD
QUESTION THREE
A small garment making unit has five tailors stitching five different types of garments.
All the five tailors are capable of stitching all the five types of garments the output per
day per tailor and the profit (K) for each type of garment are given below:
Garments
Tailors
1.
4.
5.
9.
8.
6
8.
4.
8.
7.
6.
8.
E.
Profit per garment
10
6.
4.
7.
6.
3.
a) Which type of garment should be assigned to which tailor in order to maximize
profit, assuming that there are no other constraints?
b) If tailor D is absent for a specified period and no other substitute tailor is
available, what should be the optimal assignment?
QUESTION FOUR
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 POSITION
Batsman
III
35
II
40
42
25
40
30
48
25
27
40
09
1.
09
20.
25
55
53
a) Find the assignment of batsmen to positions which would give the maximum number of
runs.
b) If another batsman "U" with the following average runs in batting positions as given
below:
Batting positions:
Average runs :
II
52 38
50
49.
is added to the team, should he be included to play in the team? If so, who will be replaced
by him?
Transcribed Image Text:34528O2 2996O583 45 ABCD QUESTION THREE A small garment making unit has five tailors stitching five different types of garments. All the five tailors are capable of stitching all the five types of garments the output per day per tailor and the profit (K) for each type of garment are given below: Garments Tailors 1. 4. 5. 9. 8. 6 8. 4. 8. 7. 6. 8. E. Profit per garment 10 6. 4. 7. 6. 3. a) Which type of garment should be assigned to which tailor in order to maximize profit, assuming that there are no other constraints? b) If tailor D is absent for a specified period and no other substitute tailor is available, what should be the optimal assignment? QUESTION FOUR 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 POSITION Batsman III 35 II 40 42 25 40 30 48 25 27 40 09 1. 09 20. 25 55 53 a) Find the assignment of batsmen to positions which would give the maximum number of runs. b) If another batsman "U" with the following average runs in batting positions as given below: Batting positions: Average runs : II 52 38 50 49. is added to the team, should he be included to play in the team? If so, who will be replaced by him?
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