A building in the shape of a rectangular box is to have a volume of 21,000ft3 (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $7/square foot for the front and back, and $3/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)?
?

?
x = __________
?
y = __________
?
z = __________
?
C = __________
What will be an ideal response?
30; 70; 10; 12,600
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,
,
, ...
A.
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C.
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A.
B.
C.
D.
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slope:
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slope:
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