An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is made from a material costing 7 cents/in?. The front of the box must be decorated, and will cost 10 cents/in?. The remainder of the sides will cost 3 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in.

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 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...
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An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is made
from a material costing 7 cents/in?. The front of the box must be decorated, and will cost 10 cents/in?.
The remainder of the sides will cost 3 cents/in?.
Find the dimensions that will minimize the cost of constructing this box.
Front width:
in.
Depth:
in.
Height:
in.
Transcribed Image Text:An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is made from a material costing 7 cents/in?. The front of the box must be decorated, and will cost 10 cents/in?. The remainder of the sides will cost 3 cents/in?. Find the dimensions that will minimize the cost of constructing this box. Front width: in. Depth: in. Height: in.
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