3. USE A MODEL To produce a handcrafted rocking chair, a woodworker needs to spend
30 hours on woodworking, and 3 additional hours on painting. The same woodworker
can make a simpler kitchen chair in 24 hours, and it takes an additional 3 hours of
painting. He has a maximum of 192 hours available for woodworking and 21 hours
available for painting in a month. The rocking chair sells for $550, and the kitchen chair
sells for $300. Write a system of inequalities to model this situation as well as a profit
equation, and find the number of rocking chairs and kitchen chairs the woodworker
should make to maximize his revenue for the month.