A closed box with a square base is to be manufactured. The material for the top of the box costs $2 per square foot and the material for the remainder of the box costs $1 per square foot. If the total cost per box is to be $48, find the dimnesions of the box with the largest volume. Please include the following steps with appropriate work. a. a labeled sketch b. variables defined and labeled on the sketch. c. a constraint equation for the cost
A closed box with a square base is to be manufactured. The material for the top of the box costs $2 per square foot and the material for the remainder of the box costs $1 per square foot. If the total cost per box is to be $48, find the dimnesions of the box with the largest volume. Please include the following steps with appropriate work. a. a labeled sketch b. variables defined and labeled on the sketch. c. a constraint equation for the cost
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 closed box with a square base is to be manufactured. The material for the top of the box costs $2 per square foot and the material for the remainder of the box costs $1 per square foot. If the total cost per box is to be $48, find the dimnesions of the box with the largest volume. Please include the following steps with appropriate work.
a. a labeled sketch
b. variables defined and labeled on the sketch.
c. a constraint equation for the cost
d. an objective function (expressing the volume in terms of only one variable)
e. the domain of the objective funtion
f. a graph of the objective function
g. a sentence to answer the question asked
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