Question 8

Explanation

We have two groups:

• People raising goats: $K = 450$
• People raising chickens: $A = 300$
• Total population: $S = 600$

Maximum Number of People Raising Both

The maximum number of people raising both animals is the size of the smaller group. This happens if all members of the smaller group are also members of the larger group.

Minimum Number of People Raising Both

The minimum number of people raising both animals occurs when the two groups are spread out as much as possible, minimizing their intersection. The formula is:

Substitute the known values:

Sum of Maximum and Minimum

We are asked to find the sum of these maximum and minimum values.

Thus, the sum of the maximum and minimum number of people raising both animals is $450$.