WWWThe length of the box, as a function of x,is l =The width of the box, as a function of x, is wThe volume of the box, as a function of x, isV = V(x) =which, after distributing, simplifies toV :V(x) =To determine the value of x that corresponds toa maximum volume, we need to find V'.V'Solving V' = 0 = x =inchesand the maximum volume is Vcubicinches Given a W = 8 inch by L = 15 inch piece ofpaper, we will cut out squares(size x by x) fromeach corner and fold to create an (open top) box.Our goal is to find the size of the cut out square (x), that maximizes the volume of the box.WWWThe length of the box, as a function of x, is lThe width of the box, as a function of x,is w =The volume of the box, as a function of x, isV= V(x) =which, after distributing, simplifies toV = V(x) =To determine the value of x that corresponds toa maximum volume, we need to find V'.V'

Answered: Image /qna-images/answer/e219923d-4244-47f0-b5a0-adf8bd4efd6c.jpg

W W W The length of the box, as a function of x, is l = The width of the box, as a function of x, is w The volume of the box, as a function of x, is V = V(x) = which, after distributing, simplifies to V : V(x) = To determine the value of x that corresponds to a maximum volume, we need to find V'. V' Solving V' = 0 → x = inches and the maximum volume is V cubic inches

W W W The length of the box, as a function of x, is l = The width of the box, as a function of x, is w The volume of the box, as a function of x, is V = V(x) = which, after distributing, simplifies to V : V(x) = To determine the value of x that corresponds to a maximum volume, we need to find V'. V' Solving V' = 0 → x = inches and the maximum volume is V cubic inches

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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