A furniture company makes large and small chairs. a small chair takes 20 minutes of machine time in 60 minutes of labor to build. a large chair takes 50 minutes of machine time and 90 minutes of labor to build. the company has 66 hours of labor time and 30 hours of machine time available each day. how many of each type of chair is built in a day?
If they make
x large chairs
y small chairs
then you know that
50x + 20y <= 30*60
90x + 60y <= 66*60
so, assuming you use up all the available time, just solve
5x + 2y = 180
3x + 2y = 132
subtract and you have
x = 24, so y=30