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. Basic Homeowner Pro Painting 1.3 1.9 2.9 Assembly Packaging 0.8 1.5 1.9 0.6 0.6 1.3 If the manufacturer has 48 hours for painting per day, 32.1 hours for assembly per day, and 20.3 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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
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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.
Basic
Homeowner
Pro
Painting
1.3
1.9
2.9
Assembly
Packaging
0.8
1.5
1.9
0.6
0.6
1.3
If the manufacturer has 48 hours for painting per day, 32.1 hours for assembly per day, and 20.3
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.
Transcribed Image Text: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. Basic Homeowner Pro Painting 1.3 1.9 2.9 Assembly Packaging 0.8 1.5 1.9 0.6 0.6 1.3 If the manufacturer has 48 hours for painting per day, 32.1 hours for assembly per day, and 20.3 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.
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