Question

An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

The system of equation which represents the situation is x + y ≤ 22; 350x + 150y ≥ 4800

The graph showing the solution to the system of inequalities is attached.

What is the solution to the system of inequalities?

The solution to a system of two linear inequalities is a region that contains the solutions to both inequalities.

let

x represents the number of tables sold

y represents the number of chairs sold,

x + y ≤ 22

350x + 150y ≥ 4800