Afurniture company has 400 board ft of teak wood and can sustain up to 450 hours of labor each week. each chair produced requires 5 ft of wood and 10 hours of labor, and each table requires 20 ft of wood and 15 hours of labor. if a chair yields a profit of $45 and a table yields a profit of $80, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit?
a; 24 chairs and 14 tables
b: 20 chairs and 18 tables
c: 28 chairs and 10 tables
d: 14 chairs and 24 tables