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Many airlines require that carry-on luggage satisfies certain size requirements. Let's assume carry-on luggage to have the shape of a rectangular box (see picture), with length x, width y and height z. If the linear distance (i.e. the sum of the length, width and height) should be equal to 60cm and the width should be equal to three times the length, calculate the dimensions of the carry-on luggage maximizing the volume.

Many airlines require that carry-on luggage satisfies certain size requirements. Let's assume carry-on luggage to have the shape of a rectangular box (see picture), with length x, width y and height z. If the linear distance (i.e. the sum of the length, width and height) should be equal to 60cm and the width should be equal to three times the length, calculate the dimensions of the carry-on luggage maximizing the volume.

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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4161. Constrained optimization. Please solve without AI and clear handwriting. Thank you

Many airlines require that carry-on luggage satisfies certain size requirements. Let's assume carry-on luggage to have the shape of a rectangular box (see picture), with length x, width y and height z. If the linear distance (i.e. the sum of the length, width and height) should be equal to 60cm and the width should be equal to three times the length, calculate the dimensions of the carry-on luggage maximizing the volume.
Transcribed Image Text:Many airlines require that carry-on luggage satisfies certain size requirements. Let's assume carry-on luggage to have the shape of a rectangular box (see picture), with length x, width y and height z. If the linear distance (i.e. the sum of the length, width and height) should be equal to 60cm and the width should be equal to three times the length, calculate the dimensions of the carry-on luggage maximizing the volume.
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