3 Minimizing Costs A pencil cup with a capacity of 48 in. 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 40¢/in.2 and the material for the base costs 60¢/in.2, what should the dimensions of the cup be to minimize the construction cost? height in length in width in

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A pencil cup with a capacity of 48 in. 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 40¢/in. and the material for the base costs 60¢/in.2, what should the dimensions of the cup
Minimizing Costs
be to minimize the construction cost?
height
in
length
in
width
in
Transcribed Image Text:A pencil cup with a capacity of 48 in. 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 40¢/in. and the material for the base costs 60¢/in.2, what should the dimensions of the cup Minimizing Costs be to minimize the construction cost? height in length in width in
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