A rectangular building with a square front is to be constructed of materials that costs 18 dollars per ft 2 for the flat roof, 15 dollars per ft? for the sides and the back, and 20 dollars per ft? for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft³, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth, and enter the dimensions in order from the smallest to the largest.)

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 rectangular building with a square front is to be constructed of materials that costs 18 dollars per ft
2 for the flat roof, 15 dollars per ft? for the sides and the back, and 20 dollars per ft? for the glass
front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft³, what
dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth, and
enter the dimensions in order from the smallest to the largest.)
ft by
ft by
ft
Submit Answer
Tries 0/20
Transcribed Image Text:A rectangular building with a square front is to be constructed of materials that costs 18 dollars per ft 2 for the flat roof, 15 dollars per ft? for the sides and the back, and 20 dollars per ft? for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft³, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth, and enter the dimensions in order from the smallest to the largest.) ft by ft by ft Submit Answer Tries 0/20
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