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: a) If the manufacturer has 96 hours available per day for painting, 156 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day? b) If 8 more hours of painting time become available, find the new production strategy and explain how it is related to the inverse matrix used in part (a). Deluxe Premium Ultimate 1.6 2.4 Painting Assembly Packaging 2 3 4 0.5 0.5 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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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:
a) If the manufacturer has 96 hours available per day for painting, 156 hours
for assembly, and 37 hours for packaging, how many of each type of saw
can be produced each day?
b) If 8 more hours of painting time become available, find the new production
strategy and explain how it is related to the inverse matrix used in part (a).
Premium
Ultimate
Deluxe
1.6
2.4
Painting
Assembly
Packaging
13
4
0.5
0.5
1
Transcribed Image Text: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: a) If the manufacturer has 96 hours available per day for painting, 156 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day? b) If 8 more hours of painting time become available, find the new production strategy and explain how it is related to the inverse matrix used in part (a). Premium Ultimate Deluxe 1.6 2.4 Painting Assembly Packaging 13 4 0.5 0.5 1
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