You have decided to build a fish tank to keep piranhas. The rectangular base and four sides will be made of shatterproof glass costing R800 per square metre. The top will remain open. Use the method of Lagrange multipliers to calculate the maximum cost of a tank of volume 0.5 m³.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.1: Writing Equations
Problem 14CYU
Question
You have decided to build a fish tank to keep piranhas. The rectangular base and four
sides will be made of shatterproof glass costing R800 per square metre. The top will remain open.
Use the method of Lagrange multipliers to calculate the maximum cost of a tank of volume 0.5 m³.
Transcribed Image Text:You have decided to build a fish tank to keep piranhas. The rectangular base and four sides will be made of shatterproof glass costing R800 per square metre. The top will remain open. Use the method of Lagrange multipliers to calculate the maximum cost of a tank of volume 0.5 m³.
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