Package design. The packaging department in a company has been asked to design a rectangular box...

Question

Package design. The packaging department in a company has been asked to design a rectangular box with no top and a partition down the middle (see the figure on the next page). Let x, y, and z be the dimensions of the box (in inches)

(A) Find the total amount of material M(x, y, z) used in constructing one of these boxes, and evaluate M(10, 12, 6).

(B) Suppose that the box will have a square base and a volume of 720 cubic inches. Use graphical approximation methods to determine the dimensions that require the least amount of material.

David · Accepted Answer

Package design. The packaging department in a company has been asked to design a rectangular box 
with no top and a partition down the middle (see the figure on the next page). Let x, y, and z be the 
dimensions of the box (in inches) 
 
(A) Find the total amount of material M(x, y,

Package design. The packaging department in a company has been asked to design a rectangular box with no top and a partition down the middle (see the figure on the next page). Let x, y, and z be the...

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