A furniture manufacturer, makes chairs coffee tables and dining room tables. Each chair requires 10 minutes of sanding, 6 minutes of staining, and 12 minutes of varnishing.Each coffee requires 12 minutes of sanding, 8 minutes of staining, and 12 minutes of varnishing.Each dining-room table requires 15 minutes of sanding, 12 minutes of staining, and 18 minutes of varnishing. The sanding bench is available 16 hours per week, the staining bench 11 hours per week, and the varnishing bench is 18 hours per week. How many of each type of furniture should be made per week so that the benches are fully utilized? (Use Gaussian Reduction Method) 3. A furniture manufacturer makes chairs, coffee tables and dining- room tables. Each chairrequires 10 minutes of sanding, 6 minutes of staining, and 12 minutes of varnishing. Each coffeetable requires 12 minutes of sanding, 8 minutes of staining, and 12 minutes of varnishing. Eachdining-room table requires 15 minutes of sanding, 12 minutes of staining, and 18 minutes ofvarnishing. The sanding bench is available 16 hours per week, the staining bench 11 hours perweek, and the varnishing bench 18 hours per week. How many of each type of furniture shouldbe made per week so that the benches are fully utilized. ( Use Gaussian Reduction Method)

Answered: A furniture manufacturer, makes chairs…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A furniture manufacturer, makes chairs coffee tables and dining room tables. Each chair requires 10 minutes of sanding, 6 minutes of staining, and 12 minutes of varnishing.Each coffee requires 12 minutes of sanding, 8 minutes of staining, and 12 minutes of varnishing.Each dining-room table requires 15 minutes of sanding, 12 minutes of staining, and 18 minutes of varnishing. The sanding bench is available 16 hours per week, the staining bench 11 hours per week, and the varnishing bench is 18 hours per week. How many of each type of furniture should be made per week so that the benches are fully utilized? (Use Gaussian Reduction Method)