A furniture factory produces, among other things, tables and chairs. Two machines are used in the production of tables and chairs, A and B, each working a maximum of 720 and 880 hours monthly, respectively. The use times of each machine for unit production of each one of these furniture is shown in the table below. It is estimated that the unit profit will be 150$ per chair and 100$ per table. Formulate the linear programming problem that maximizes the monthly profit.