A furniture manufacturing firm makes sofas and chairs, each of which is available in several styles. Each sofa, regardless of style, requires eight hours in the upholstery shop and four hours in the carpentry shop and can be sold for a profit of $450. Each chair requires six hours in the upholstery shop and 3.5 hours in the carpentry shop and can be sold for a profit of$375. There are nine people working in the upholstery shop and five in the carpentry shop, each of whom can work no more than 40 hours per week. a. What is that maximum profit? b. How many sofas and how many chairs should the firm make each week to maximize its profit? c. Is there an extra time in the upholstery shop? If so, how much? d. Is there an extra time in the carpentry shop? If so, how much?
A furniture manufacturing firm makes sofas and chairs, each of which is available in several styles. Each sofa, regardless of style, requires eight hours in the upholstery shop and four hours in the carpentry shop and can be sold for a profit of $450. Each chair requires six hours in the upholstery shop and 3.5 hours in the carpentry shop and can be sold for a profit of$375. There are nine people working in the upholstery shop and five in the carpentry shop, each of whom can work no more than 40 hours per week. a. What is that maximum profit? b. How many sofas and how many chairs should the firm make each week to maximize its profit? c. Is there an extra time in the upholstery shop? If so, how much? d. Is there an extra time in the carpentry shop? If so, how much?
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 manufacturing firm makes sofas and chairs, each of which is available in several styles. Each sofa, regardless of style, requires eight hours in the upholstery shop and four hours in the carpentry shop and can be sold for a profit of $450. Each chair requires six hours in the upholstery shop and 3.5 hours in the carpentry shop and can be sold for a profit of$375. There are nine people working in the upholstery shop and five in the carpentry shop, each of whom can work no more than 40 hours per week.
a. What is that maximum profit?
b. How many sofas and how many chairs should the firm make each week to maximize its profit?
c. Is there an extra time in the upholstery shop? If so, how much?
d. Is there an extra time in the carpentry shop? If so, how much?
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