Set up the system of equations and then solve it by using an inverse matrix. A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. Deluxe Premium Ultimate Painting 1.6 2.4 Assembly 2. 3 4. Packaging 0.5 0.5 1 (a) If the manufacturer has 96 hours available per day for painting, 154 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day? Deluxe saws Premium saws Ultimate saws (b) If 8 more hours of painting time become available, find the new production strategy. Deluxe saws Premium saws Ultimate saws Need Help? Read I

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 76E
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Set up the system of equations and then solve it by using an inverse matrix.
A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for
shipping. The table gives the number of hours required for each of these operations for each type of table saw.
Deluxe
Premium
Ultimate
Painting
1.6
2.4
Assembly
3
4.
Packaging
0.5
0.5
1
(a) If the manufacturer has 96 hours available per day for painting, 154 hours for assembly, and 37 hours for packaging, how
many of each type of saw can be produced each day?
Deluxe
saws
Premium
saws
Ultimate
saws
(b) If 8 more hours of painting time become available, find the new production strategy.
Deluxe
saws
Premium
saws
Ultimate
saws
Need Help?
Read I
Transcribed Image Text:Set up the system of equations and then solve it by using an inverse matrix. A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. Deluxe Premium Ultimate Painting 1.6 2.4 Assembly 3 4. Packaging 0.5 0.5 1 (a) If the manufacturer has 96 hours available per day for painting, 154 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day? Deluxe saws Premium saws Ultimate saws (b) If 8 more hours of painting time become available, find the new production strategy. Deluxe saws Premium saws Ultimate saws Need Help? Read I
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