Lone Depot claims to provide customers with a cost effective, versatile rectangular storage container with a square base and a volume of 36 ft. The material for the sides and top of each contalner costs $2/f, and the material for the bottom costs $4/ft. Let a be the length/width of the base of the container in feet, and y the height of the container in feet. What is the function C(x) (in terms of x only) needed to minimize the cost of this container? O C(r) = 360x-2 + 4x O C(z) = 6x² + 8xy -1 O C(x) = 2x2 + 144x %3D O (x) = 6x² + 288z-1 O C(x) = 2a? + 4xy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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Lone Depot claims to provide customers with a cost effective, versatile rectangular storage
container with a square base and a volume of 36 ft°. The material for the sides and top of each
container costs $2/ft2, and the material for the bottom costs $4/ft. Let a be the length/width of
the base of the container in feet, and y the height of the container in feet. What is the function
C(x) (in terms of x only) needed to minimize the cost of this container?
O C(x) = 360x
-2 + 4x
%3D
O (r) = 6x² + 8xy
%3D
O C(x) = 2x? + 144x-1
O C(x) = 6x² + 288x¬1
%3D
O C(x) = 2x² + 4xy
Transcribed Image Text:Lone Depot claims to provide customers with a cost effective, versatile rectangular storage container with a square base and a volume of 36 ft°. The material for the sides and top of each container costs $2/ft2, and the material for the bottom costs $4/ft. Let a be the length/width of the base of the container in feet, and y the height of the container in feet. What is the function C(x) (in terms of x only) needed to minimize the cost of this container? O C(x) = 360x -2 + 4x %3D O (r) = 6x² + 8xy %3D O C(x) = 2x? + 144x-1 O C(x) = 6x² + 288x¬1 %3D O C(x) = 2x² + 4xy
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