Solve using Lagrange multipliers. (The stated extreme values do exist.) A cylindrical tank without a top is to be constructed with the least amount of material (bottom plus side area). -open top h Find the dimensions (in ft) if the volume is to be 150 cubic feet. (Round your answers to one decimal place.) ft radius height ft

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 1SC: Find the maximum value of P=4x+3y subject to the constraints of Example 1. {x+y42x+y6x0y0
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Solve using Lagrange multipliers. (The stated extreme values do exist.)
A cylindrical tank without a top is to be constructed with the least amount of material (bottom plus side area).
open top
h
Find the dimensions (in ft) if the volume is to be 150 cubic feet. (Round your answers to one decimal place.)
ft
radius
height
ft
Transcribed Image Text:Solve using Lagrange multipliers. (The stated extreme values do exist.) A cylindrical tank without a top is to be constructed with the least amount of material (bottom plus side area). open top h Find the dimensions (in ft) if the volume is to be 150 cubic feet. (Round your answers to one decimal place.) ft radius height ft
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