Noah and Naomi can produce garden benches, garden chairs or both. They are price takers in both markets.
Cost function for benches Cb(QbQc)=50Qb+(Qb)^2+QbQc
MCb=50+2Qb+Qc
Cost function for chairs is Cc(QbQc)=22Qc+Qc^2+QcQb
MCc=22+2Qc+Qb
The price of garden bench is $105. Garden chair is $90.
What is the profit-maximizing sales quantities of benches and chairs?
__ benches __ chairs