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
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.3: The Inverse Of A Square Matrix
Problem 65E: Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each,...
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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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