Set up a system of equations and then solve using matrices.

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.

	Basic	Homeowner	Pro
Painting	1.5	1.7	2.5
Assembly	0.7	1.1	1.8
Packaging	0.9	1	2

If the manufacturer has 91.9 hours for painting per day, 57.7 hours for assembly per day, and 65 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.