A Building in the Shape of a Rectangular Box Is

question 66

Multiple Choice

A building in the shape of a rectangular box is to have a volume of (see the figure) .It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $5/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 = 50; y = 20; z = 10; C = 5,900
• B)x = 20; y = 50; z = 30; C = 5,900
• C)x = 20; y = 50; z = 10; C = 6,000
• D)x = 50; y = 20; z = 20; C = 6,000

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