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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Building in the Shape of a Rectangular Box Is