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The profit function of Nusantara Furniture Company is given by p(x,y)=-2x² +60x-3y² +72y+100 Where x represents the number of handmade chairs and y is the number of handmade sofa produced per week. The optimal (maximum) situation occurs when x = 15 and y = 12. However, due to an insufficient labor force, they can only make a total of 20 chairs and sofas per week. Use the method of Lagrange multipliers to determine how many chairs and sofas will give the maximum profit?

The profit function of Nusantara Furniture Company is given by p(x,y)=-2x² +60x-3y² +72y+100 Where x represents the number of handmade chairs and y is the number of handmade sofa produced per week. The optimal (maximum) situation occurs when x = 15 and y = 12. However, due to an insufficient labor force, they can only make a total of 20 chairs and sofas per week. Use the method of Lagrange multipliers to determine how many chairs and sofas will give the maximum profit?

Advanced Engineering Mathematics
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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QUESTION 2 The profit function of Nusantara Furniture Company is given by p(x,y)= -2x² +60x-3y² +72y +100 Where x represents the number of handmade chairs and y is the number of handmade sofa produced per week. The optimal (maximum) situation occurs when x = 15 and y = 12. However, due to an insufficient labor force, they can only make a total of 20 chairs and sofas per week. Use the method of Lagrange multipliers to determine how many chairs and sofas will give the maximum profit?
Transcribed Image Text:QUESTION 2 The profit function of Nusantara Furniture Company is given by p(x,y)= -2x² +60x-3y² +72y +100 Where x represents the number of handmade chairs and y is the number of handmade sofa produced per week. The optimal (maximum) situation occurs when x = 15 and y = 12. However, due to an insufficient labor force, they can only make a total of 20 chairs and sofas per week. Use the method of Lagrange multipliers to determine how many chairs and sofas will give the maximum profit?
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