Question A rectangular storage container is to have a volume of 700 ft³. The bottom will cost $5 per square foot to construct, and the sides and top will cost $4 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container that has the minimum cost. Enter an exact answer. Provide your answer below: length = width= ,height =

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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**Current Objective**

Use the method of Lagrange multipliers to solve optimization problems with business applications.

---

**Question**

A rectangular storage container is to have a volume of \(700 \, \text{ft}^3\). The bottom will cost $5 per square foot to construct, and the sides and top will cost $4 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container that has the minimum cost.

Enter an exact answer.

Provide your answer below:

- length = \(\_\_\)
- width = \(\_\_\)
- height = \(\_\_\)
Transcribed Image Text:**Current Objective** Use the method of Lagrange multipliers to solve optimization problems with business applications. --- **Question** A rectangular storage container is to have a volume of \(700 \, \text{ft}^3\). The bottom will cost $5 per square foot to construct, and the sides and top will cost $4 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container that has the minimum cost. Enter an exact answer. Provide your answer below: - length = \(\_\_\) - width = \(\_\_\) - height = \(\_\_\)
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