A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard required to create this box. Use the method of Lagrange Multipliers to solve this problem

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...
Question

A box without a lid is required to have volume, V = 32000 cm^3. Minimize the
amount of cardboard required to create this box. Use the method of Lagrange Multipliers to solve this
problem. You should get the same answer as you did from HW4.

The answer should be 40cm x 40cm x 20cm.

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