A Building in the Shape of a Rectangular Box Is

question 77

Multiple Choice

A building in the shape of a rectangular box is to have a volume of 6,000ft³ (see the figure) . It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/square foot for the front and back, and $2/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C) ? ​ ​

• A) x = 30; y = 20; z = 10; C = 3,500
• B) x = 20; y = 30; z = 30; C = 3,500
• C) x = 30; y = 20; z = 20; C = 3,600
• D) x = 20; y = 30; z = 10; C = 3,600

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Definitions:

Cyclical Unemployment

A type of unemployment that relates to the cyclical trends in the business cycle, increasing during recessions and decreasing in expansions.

Unemployment Spells

Periods of time during which an individual is searching for employment but is unable to find work.

Frictional Unemployment

Temporary unemployment existing in a job market due to time taken by workers to move between jobs, including new or re-entering workers.

Structural Unemployment

Unemployment arising from a persistent mismatch between the skills of workers and the requirements of jobs, often exacerbated by technology or market changes.