A furniture manufacturer makes two types of furniture. chairs and sofas. The production of the sofas and chairs requires three operations. carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The profit per chair is $90 and the profit per sofa is $75. How many chairs and how many sofas should be produced each day to maximize the profit? Use a graphical approach.
A furniture manufacturer makes two types of furniture. chairs and sofas. The production of the sofas and chairs requires three operations. carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The profit per chair is $90 and the profit per sofa is $75. How many chairs and how many sofas should be produced each day to maximize the profit? Use a graphical approach.
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 two types of furniture. chairs and sofas. The production of the
sofas and chairs requires three operations. carpentry, finishing, and upholstery. Manufacturing a
chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a
sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has
allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for
upholstery. The profit per chair is $90 and the profit per sofa is $75. How many chairs and how many
sofas should be produced each day to maximize the profit? Use a graphical approach.
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