A furniture company makes only Tables (T) and Chairs (C). Each table produces

A furniture company makes only Tables (T) and Chairs (C). Each table produces $60 net profit and each chair produces $40 net profit. Each table takes 4 hours of carpenter’s time, 2 hours of painter’s time, and 0 hour of metal worker’s time; each chair takes 3 hours of carpenter’s time, 1 hour of painter’s time, and 2 hours of metal worker’s time. Each week, 240 hours of carpenter’s time, 100 hours of painter’s time, and 120 hours of metal worker’s time are available. Find the production mix of tables and chairs that will maximize the weekly net profit P.