Question 5: Hubert keeps five varieties (A, B, C, D, E) of snakes in boxes in his apartment. Some varieties attack other varieties, and can't be kept together. The table indicates that varieties Attack each other (can't be kept together). What is the minimum number of boxes needed to keep snakes? A B attack attack attack attack attack C D A В attack attack attack attack D attack attack E attack

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5: Hubert keeps five varieties (A, B, C, D, E) of snakes in boxes in his apartment. Some
varieties attack other varieties, and can't be kept together. The table indicates that varieties Attack
each other (can't be kept together). What is the minimum number of boxes needed to keep snakes?
в
|C
attack attack attack attack
A
E
B attack
C attack attack
Dattack
attack
attack
attack
---
E attack
Question 6: In a school, there are four teachers X1,X2,X3,X4 and five batches Y1,Y2,Y3,Y4,Y5.
Given that teacher Xi is required to teach batch Yj for Pij periods [for example, X1 has to take 2
classes with batch Y1, 1 class with batch Y4], schedule a complete routine in the minimum possible
number of periods. The matrix is given below:
X1 X2 X3 X4
Y1 2
--
--
Y2
2
--
--
Y3
--
--
--
Y4 1
2
1
--
Y5
--
--
Remember there are only 3 class rooms available.
Transcribed Image Text:Question 5: Hubert keeps five varieties (A, B, C, D, E) of snakes in boxes in his apartment. Some varieties attack other varieties, and can't be kept together. The table indicates that varieties Attack each other (can't be kept together). What is the minimum number of boxes needed to keep snakes? в |C attack attack attack attack A E B attack C attack attack Dattack attack attack attack --- E attack Question 6: In a school, there are four teachers X1,X2,X3,X4 and five batches Y1,Y2,Y3,Y4,Y5. Given that teacher Xi is required to teach batch Yj for Pij periods [for example, X1 has to take 2 classes with batch Y1, 1 class with batch Y4], schedule a complete routine in the minimum possible number of periods. The matrix is given below: X1 X2 X3 X4 Y1 2 -- -- Y2 2 -- -- Y3 -- -- -- Y4 1 2 1 -- Y5 -- -- Remember there are only 3 class rooms available.
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