(Solved): Set up a system of equations and then solve using inverse matrics. A manufacturer of portable tool ...

Set up a system of equations and then solve using inverse matrics. A manufacturer of portable tools has three sets, Basic, Homeowner, and Pro, which must be painted, assembled, and packaged for shipping. The following table gives the number of hours required for each operation for each set. If the manufacturer has $$87.6$$ hours for painting per day, $$56.4$$ hours for assembly per day, and 46 hours for packaging per day. How many sets of each type can be produced each day? The manufacturer can produce Basic sets, Homeowner sets and Pro sets per day.