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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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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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