Final answer:
The question involves solving a system of linear equations to find the individual rental costs for chairs and tables, a common type of problem in high school algebra.
Step-by-step explanation:
The problem presented involves a system of linear equations which reflects a real-world application: determining the cost to rent each chair and each table based on the total rental costs for different quantities of these items. This falls under the subject of Mathematics, specifically in the area of algebra, and would be appropriate for a high school level course.
To find the cost to rent each chair and each table, we need to solve the following system of equations represented by the two given scenarios:
5C + 3T = $27
2C + 12T = $81
Where C represents the cost per chair and T represents the cost per table.
The solution to this system of equations will require either substitution or elimination methods. Once the values of C and T are found, they will reflect the cost to rent each chair and each table individually. As an example, the mentioned scenario of the Yoga Center experiences different total costs and potential losses based on whether they have clients and operate or decide to shut down.