A king company requires 20 hours of labor to produce a standard table, and a chair requires 12 hours of labor. The labor available is 565 hours per week. The company can produce at most 35 chairs per week.
The goal is to find the region that shows the number of tables and chairs that the company can produce in a week, based on the given restrictions. The first step is to represent the situation with a system of inequalities.
Let x be the number of tables and y be the number of chairs.
Which system of inequalities best represents this situation?
Since x represents tables, and tables require 20 hours, 20x is the number of hours spent on tables. The total hours must not exceed 565, so must be less than or equal to that value. The first selection is appropriate.
