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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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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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