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1. A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 22,500 ft? and a height of 18 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Use the Lagrange multipliers to find the dimensions of the building to minimize the heat loss, assuming that the relative heat losses per unit surface area for the roof, brick wall, glass wall, and floor are in the proportion 4:2:5:1

1. A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 22,500 ft? and a height of 18 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Use the Lagrange multipliers to find the dimensions of the building to minimize the heat loss, assuming that the relative heat losses per unit surface area for the roof, brick wall, glass wall, and floor are in the proportion 4:2:5:1

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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1. A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 22,500 ft? and a height of 18 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Use the Lagrange multipliers to find the dimensions of the building to minimize the heat loss, assuming that the relative heat losses per unit surface area for the roof, brick wall, glass wall, and floor are in the proportion 4:2:5:1
Transcribed Image Text:1. A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 22,500 ft? and a height of 18 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Use the Lagrange multipliers to find the dimensions of the building to minimize the heat loss, assuming that the relative heat losses per unit surface area for the roof, brick wall, glass wall, and floor are in the proportion 4:2:5:1
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