Problema Solution
A psychologist uses two types of boxes when studying mice and rats. Each mouse spends 1010 minutes per day in box A and 2020 minutes per day in box B. Each rat spends 2020 minutes per day in box A and 1010 minutes per day in box B. The total maximum time available per day is 780780 minutes for box A and 600600 minutes for box B. We are interested in the various numbers of mice and rats that can be used in the experiment under the conditions stated. Find the set of feasible solutions graphically.
Answer provided by our tutors
Let 'x' represent the number of mice and 'y' represent the number of rats.
10x + 20y <= 780
20x + 10y <= 600
........
The set of feasible solutions is the area marked bellow:
For example, few solutions are: (10,10), (10,20), (10, 30), (20, 10)