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
Answer: D
Mathematics
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