A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 458 in3. The cost of the material for the base is 0.5 cents per square inch, and the cost of the material for the sides is 0.4 cents per square inch. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost per box rounded to the nearest cent? Round any calculations and the final answer to the nearest hundredth if necessary.
A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 458 in3. The cost of the material for the base is 0.5 cents per square inch, and the cost of the material for the sides is 0.4 cents per square inch. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost per box rounded to the nearest cent? Round any calculations and the final answer to the nearest hundredth if necessary.
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 company plans to manufacture a rectangular box with a square base, an open top, and a volume of 458 in3. The cost of the material for the base is 0.5 cents per square inch, and the cost of the material for the sides is 0.4 cents per square inch. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost per box rounded to the nearest cent?
Round any calculations and the final answer to the nearest hundredth if necessary.
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