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1. A pencil cup with a capacity of 16 in.³ is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 8c/in.² and the material for the base costs 32¢/in.², what should the dimensions of the cup be to minimize the construction cost?

1. A pencil cup with a capacity of 16 in.³ is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 8c/in.² and the material for the base costs 32¢/in.², what should the dimensions of the cup be to minimize the construction cost?

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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MTH 1222, MWF9:20-10:27am. Instructor: Li Li. Homework 8 (§10.5). Name: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use equal signs appropriately. Clearly indicate your answers. 1. A pencil cup with a capacity of 16 in.³ is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 8¢/in.2 and the material for the base costs 32¢/in.², what should the dimensions of the cup be to minimize the construction cost?
Transcribed Image Text:MTH 1222, MWF9:20-10:27am. Instructor: Li Li. Homework 8 (§10.5). Name: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use equal signs appropriately. Clearly indicate your answers. 1. A pencil cup with a capacity of 16 in.³ is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 8¢/in.2 and the material for the base costs 32¢/in.², what should the dimensions of the cup be to minimize the construction cost?
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