Postal Regulations Specify That the Combined Length and Girth of a Parcel

question 55

Essay

Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 132 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be by by (see the figure below). Then, , and the volume . So that . Maximize .) x = __________ inches
y = __________ inches
z = __________ inches
V = __________ cubic inches

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Definitions:

Productivity

The measure of the efficiency of a person, machine, factory, system, etc., in converting inputs into useful outputs.

Human Relations

The study and practice of creating harmonious and effective interactions in professional and personal settings.

Working Groups

Groups formed to achieve a specific goal or task, usually characterized by a focused and collaborative approach.

Hawthorne Studies

A series of influential experiments in industrial organization conducted in the 1920s and 1930s at the Hawthorne Works in Chicago, highlighting the impact of work conditions on productivity.